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Journal articles on the topic 'Characterization of truncated distribution'

Author: Grafiati

Published: 7 June 2025

Last updated: 26 June 2025

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1

M. Ahsanullah, M. Shakil, and Ahmed M. T. Abd El-Bar. "SOME INFERENCES ON OFFSET NORMAL DISTRIBUTION: PROPERTIES AND CHARACTERIZATIONS." Jnanabha 51, no. 02 (2021): 143–51. http://dx.doi.org/10.58250/jnanabha.2021.51217.

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The offset normal distribution, defined as the induced shape parameter of a Gaussian random configuration in the plane, is one of the most important probability distributions with tremendous applications both in pure and applied mathematics. In this paper some basic properties of the offset normal distribution are discussed. Based on the basic properties, several characterizations are presented by the left and right truncated moments. The first characterization result is based on a relation between left truncated moment and failure rate function. The second characterization result is based on a relation between right truncated moment and reversed failure rate function.

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2

Ahsanullah, Mohammad, and Mohammad Shakil. "Characterizations of continuous probability distributions occurring in physics and allied sciences by truncated moment." International Journal of Advanced Statistics and Probability 3, no. 1 (2015): 100. http://dx.doi.org/10.14419/ijasp.v3i1.4612.

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<p>A probability distribution can be characterized through various methods. Before a particular probability distribution model is applied to fit the real-world data, it is necessary to confirm whether the given continuous probability distribution satisfies the underlying requirements by its characterization. In this paper, characterizations of some continuous probability distributions occurring in physics and allied sciences have been established. We have considered the normal, Laplace, Lorentz, logistic, Boltzmann, Rayleigh, log-normal, Maxwell, Fermi-Dirac, and Bose-Einstein distributions, and characterized them by applying a truncated moment method; that is, by taking a product of reverse hazard rate and another function of the truncated point. It is hoped that the proposed characterizations will be useful for researchers in various fields of physics and allied sciences.</p>

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3

Hamedani, G. "Characterizations of the Amoroso distribution." Studia Scientiarum Mathematicarum Hungarica 49, no. 3 (2012): 338–47. http://dx.doi.org/10.1556/sscmath.49.2012.3.1209.

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Characterizations of the Amoroso distribution based on a simple relationship between two truncated moments are presented. A remark regarding the characterization of certain special cases of the Amoroso distribution based on hazard function is given. We will also point out that a sub-family of the Amoroso family is a member of the generalized Pearson system.

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Ahsanullah, M., M. E. Ghitany, and D. K. Al-Mutairi. "Characterization of Lindley distribution by truncated moments." Communications in Statistics - Theory and Methods 46, no. 12 (2016): 6222–27. http://dx.doi.org/10.1080/03610926.2015.1124117.

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5

Shakil, M., and M. Ahsanullah. "Some inferences on the distribution of the Demmel condition number of complex Wishart matrices." Special Matrices 5, no. 1 (2017): 127–38. http://dx.doi.org/10.1515/spma-2017-0011.

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Abstract In recent years, many researchers have studied the distributions of the Demmel (or the scaled) condition numbers (DCN) of complex Wishart matrices. In this paper, several new distributional properties of the distribution of the Demmel condition number of complex Wishart matrices are presented. The limiting distributions of the standardized extreme order statistics are given. Since the truncated distributions arise in practical statistics where the ability of record observations is limited to a given threshold or within a specified range, there has been a great interest, in recent years, in the characterizations of probability distributions by truncated moments. Before a particular probability distribution model is applied to fit the realworld data, it is necessary to confirm whether the given continuous probability distribution satisfies the underlying requirements by its characterization. Therefore, in this paper, some characterizations of the distribution of DCN are also shown. We hope that the findings of this paper will be quite useful in many fields of pure and applied sciences, such as, probability, statistics, multivariate statistics, linear algebra, operator algebra theory, actuarial science, physics, wireless communications, and polarimetric synthetic aperture radar (PolSAR), among others.

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6

Laribi, Dorsaf, Afif Masmoudi, and Imen Boutouria. "Characterization of generalized Gamma-Lindley distribution using truncated moments of order statistics." Mathematica Slovaca 71, no. 2 (2021): 455–74. http://dx.doi.org/10.1515/ms-2017-0481.

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Abstract Having only two parameters, the Gamma-Lindley distribution does not provide enough flexibility for analyzing different types of lifetime data. From this perspective, in order to further enhance its flexibility, we set forward in this paper a new class of distributions named Generalized Gamma-Lindley distribution with four parameters. Its construction is based on certain mixtures of Gamma and Lindley distributions. The truncated moment, as a characterization method, has drawn a little attention in the statistical literature over the great popularity of the classical methods. We attempt to prove that the Generalized Gamma-Lindley distribution is characterized by its truncated moment of the first order statistics. This method rests upon finding a survival function of a distribution, that is a solution of a first order differential equation. This characterization includes as special cases: Gamma, Lindley, Exponential, Gamma-Lindley and Weighted Lindley distributions. Finally, a simulation study is performed to help the reader check whether the available data follow the underlying distribution.

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Saud, Naz, Aqsa Rafique, Muhammad Ijaz, Naila Amjad, Mahmoud El-Morshedy, and Syed Habib Shah. "Characterizations and Entropy Measures of the Exponentiated Generalized Frechet Geometric Distribution." Advances in Mathematical Physics 2022 (February 4, 2022): 1–17. http://dx.doi.org/10.1155/2022/2717894.

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Some characterizations and entropy measures of the Exponentiated Generalized Fréchet Geometric (EGFG) distribution are studied in this paper. Firstly, characterizations of the EGFG distribution based on five different approaches are discussed. The submodels for the EGFG distribution with their characterization expressions formed on the ratio of two truncated moments are also presented. Secondly, four different entropy measures are considered and expressed analytically via the incomplete gamma function. The behavior of all these entropy measures is discussed by performing a numerical study.

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8

Hamedani, G. G. "On characterizations and infinite divisibility of recently introduced distributions." Studia Scientiarum Mathematicarum Hungarica 53, no. 4 (2016): 467–511. http://dx.doi.org/10.1556/012.2016.53.4.1347.

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We present here characterizations of the most recently introduced continuous univariate distributions based on: (i) a simple relationship between two truncated moments; (ii) truncated moments of certain functions of the 1th order statistic; (iii) truncated moments of certain functions of the nth order statistic; (iv) truncated moment of certain function of the random variable. We like to mention that the characterization (i) which is expressed in terms of the ratio of truncated moments is stable in the sense of weak convergence. We will also point out that some of these distributions are infinitely divisible via Bondesson’s 1979 classifications.

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9

Tenorio-Fornés, Ámbar, Javier Arroyo, and Samer Hassan. "Participation in wiki communities: reconsidering their statistical characterization." PeerJ Computer Science 8 (January 3, 2021): e792. http://dx.doi.org/10.7717/peerj-cs.792.

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Peer production online communities are groups of people that collaboratively engage in the building of common resources such as wikis and open source projects. In such communities, participation is highly unequal: few people concentrate the majority of the workload, while the rest provide irregular and sporadic contributions. The distribution of participation is typically characterized as a power law distribution. However, recent statistical studies on empirical data have challenged the power law dominance in other domains. This work critically examines the assumption that the distribution of participation in wikis follows such distribution. We use statistical tools to analyse over 6,000 wikis from Wikia/Fandom, the largest wiki repository. We study the empirical distribution of each wiki comparing it with different well-known skewed distributions. The results show that the power law performs poorly, surpassed by three others with a more moderated heavy-tail behavior. In particular, the truncated power law is superior to all competing distributions, or superior to some and as good as the rest, in 99.3% of the cases. These findings have implications that can inform a better modeling of participation in peer production, and help to produce more accurate predictions of the tail behavior, which represents the activity and frequency of the core contributors. Thus, we propose to consider the truncated power law as the distribution to characterize participation distribution in wiki communities. Furthermore, the truncated power law parameters provide a meaningful interpretation to characterize the community in terms of the frequency of participation of occasional contributors and how unequal are the group of core contributors. Finally, we found a relationship between the parameters and the productivity of the community and its size. These results open research venues for the characterization of communities in wikis and in online peer production.

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Al-Shomrani, Ali A. "Some Characterization and Relations Based on K-th Lower Record Values." Open Statistics & Probability Journal 7, no. 1 (2016): 36–44. http://dx.doi.org/10.2174/1876527001607010036.

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In this paper, we obtain certain expressions and recurrence relations for two general classes of distributions based on some conditional expectations of k-th lower record values. We consider the necessary and sufficient conditions such that these conditional expectations hold for some distribution functions. Furthermore, an expression of conditional expectation of other general class of distributions through truncated moments of some random variable is considered. Some distributions as examples of these general classes are shown in Tables1and2accordingly.

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Khan, Izhar. "Dual Generalized Order Statistics from Gompertz-Verhulst Distribution and Characterization." Statistics, Optimization & Information Computing 8, no. 4 (2020): 801–9. http://dx.doi.org/10.19139/soic-2310-5070-652.

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The dual generalized order statistics is a unified scheme which contains the well known decreasingly ordered random variables such as (reversed) order statistics, lower record values and lower Pfeifer record values. In this article, characterization results on Gompertz-Verhulst distribution through the conditional expectation of dual generalized order statistics based on non-adjacent dual generalized order statistics are given. These relations are deduced for moments of reversed order statistics, order statistics and lower record values. Further a characterization result through the truncated moment is also derived.

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Ahsanullah, Mohammad, and Ayman Alzaatreh. "Some Characterizations of the Log-Logistic Distribution." Stochastics and Quality Control 33, no. 1 (2018): 23–29. http://dx.doi.org/10.1515/eqc-2018-0003.

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Abstract The log-logistic distribution is a right skewed distribution of a random variable whose logarithm has the logistic distribution. In this paper, characterizations based on truncated moments, functions of order statistics and record values are obtained. Also, limiting distributions for the extreme order statistics are studied.

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13

Kilany, N. M. "Characterization of Lindley Distribution Based on Truncated Moments of Order Statistics." Journal of Statistics Applications & Probability 6, no. 2 (2017): 355–60. http://dx.doi.org/10.18576/jsap/060210.

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Khan, M. I. "Moments of Generalized Order Statistics from Doubly Truncated Power Linear Hazard Rate Distribution." Statistics, Optimization & Information Computing 12, no. 4 (2024): 841–50. http://dx.doi.org/10.19139/soic-2310-5070-1304.

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This paper is concerned with some recurrence relations for single and product moments of doubly truncated power linear hazard rate distribution via generalized order statistics. Some deductions and related results are also considered. The characterization result is provided at the end.

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Hamedani, Gholamhossein G., and Shirin Nezampour. "Characterizations of Exponentiated Generalized Power Lindley and Geometric-Zero Truncated Poisson Distributions." International Journal of Statistics and Probability 9, no. 3 (2020): 36. http://dx.doi.org/10.5539/ijsp.v9n3p36.

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MirMostafaee et al. (2019) proposed a continuous univariate distribution called Exponentiated Generalized Power Lindley (EGPL) distribution and studied certain properties and applications of their distribution. Akdogan et al. (2019) introduced a discrete distribution called Geometric-Zero Truncated Poisson (GZTP) distribution and provided its properties and applications. The present short note is intended to complete, in some way, the works cited above via establishing certain characterizations of the EGPL and GZTP distributions in different directions.

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Smitha, S., K. R. Muraleedharan Nair, and P. G. Sankaran. "On Measures of Affinity for Truncated Distributions." Calcutta Statistical Association Bulletin 59, no. 3-4 (2007): 151–62. http://dx.doi.org/10.1177/0008068320070303.

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Abstract: In the present paper we define affinity for truncated distributions and examine its properties. The relationship of this measure with other discrimination measures is examined. We also provide a characterization result for the proportional hazard model using the functional form of the truncated affinity. AMS (2000) Subject Classification: 62E10, 90B25

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Ahsanullah, Mohammad, and Mohammad Shakil. "A note on a characterization of J-shaped distribution by truncated moment." Applied Mathematical Sciences 8 (2014): 5801–12. http://dx.doi.org/10.12988/ams.2014.47556.

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18

Ahsan-ul-Haq, Muhammad, Junaid Ahmed, Mohammed Albassam, and Muhammad Aslam. "Power Inverted Nadarajah–Haghighi Distribution: Properties, Estimation, and Applications." Journal of Mathematics 2022 (March 2, 2022): 1–10. http://dx.doi.org/10.1155/2022/9514739.

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In this paper, a new three-parameter power inverted Nadarajah–Haghighi distribution is proposed and studied. The new distribution is a generalization of the inverted Nadarajah–Haghighi distribution in which an additional shape parameter is included. Surprisingly, this additional shape parameter dominates the tails’ weights of distribution and also affects skewness and kurtosis. Such heavy-tailed distributions are suitable for fitting actuarial and financial risk real problems. Important mathematical properties of this distribution are obtained. Characterization based on two truncated moments is also derived. The parameters are estimated using the maximum likelihood method. Further, a numerical simulation study is conducted for reinforcement of the results. Finally, the application of the proposed distribution to real-life data sets is presented to prove its applicability.

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Omer, Abubakr A. M., Sanjiv Kumar, Robert Selegård, Torbjörn Bengtsson, and Hazem Khalaf. "Characterization of Novel Plantaricin-Derived Antiviral Peptides Against Flaviviruses." International Journal of Molecular Sciences 26, no. 3 (2025): 1038. https://doi.org/10.3390/ijms26031038.

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Flaviviruses, including West Nile virus, Zika virus, and Dengue virus, pose global health challenges due to their distribution, pathogenicity, and lack of effective treatments or vaccines. This study investigated the antiviral activity of novel truncated peptides derived from the two-peptide plantaricins PLNC8 αβ, PlnEF, PlnJK, and PlnA. The antiviral potential was predicted using machine learning tools, followed by in vitro evaluation against the Kunjin virus using plaque reduction assays in Vero cells. Molecular docking assessed peptide interactions with KUNV and ZIKV. Full-length and truncated peptides from PlnA, PlnE, PlnF, PlnJ, and PlnK demonstrated limited antiviral efficacy against KUNV in vitro, despite in silico predictions suggesting antiviral potential for PlnA, PlnE, and PlnJ. Large discrepancies were observed between the predicted and experimentally determined activities. However, complementary two-peptide plantaricins PlnEF and PlnJK exhibited significant synergistic effects. Furthermore, the truncated peptides PLNC8 α1-15 and PLNC8 β1-20 reduced KUNV viral load by over 90%, outperforming their full-length counterparts. Molecular docking revealed interactions of PLNC8 α and PLNC8 β, and their truncated variants, with KUNV and ZIKV, suggesting a mechanism involving viral envelope disruption. These findings highlight the potential of plantaricin-derived peptides as promising antiviral candidates against flaviviruses, warranting further investigation into their mechanisms and applications.

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Azam, Zaka, Saeed Akhter Ahmad, and Jabeen Riffat. "A view on characterizations of the J shaped statistical distribution." Indian Journal of Science and Technology 13, no. 32 (2020): 3327–38. https://doi.org/10.17485/IJST/v13i32.353.

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Abstract Objectives: In recent years, characterization of any distribution has become important in the field of probability distribution.The objective of the study is to characterize the power function distribution to see its usefulness under different real life situations such as Engineering and medical sciences. Methods: The study proposed the characterization of Power function distribution based on mean inactivity times (MIT), mean residual function (MRF), conditional moments, conditional variance (CV), doubly truncated mean (DTM), incomplete moments and reverse hazard function. Findings:We have characterized the power function distribution using different method, and conclude that thesufficient and necessary conditions of different methods mentioned above meet the results of Power function distribution. Application: Power function distribution has wide applicability in the field of Engineering. The findings of the paper may help the Engineers to know more about the Power function distribution.   Keywords: Characterization; mean inactivity time; mean residual function; power function distribution

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Ghitany, M. E., Ramesh C. Gupta, and Shaochen Wang. "Some Characterization Results by Conditional Expectations and their Applications to Lindley-type Distributions." International Journal of Statistics and Probability 7, no. 1 (2017): 86. http://dx.doi.org/10.5539/ijsp.v7n1p86.

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This paper deals with some characterization results based on truncated expectations in the continuous as well as in the discrete case. Both the right and left truncations are considered and some general results are derived. Some of the known results dealing with truncated moments, residual moments and residual partial moments are obtained as special cases. These results are utilized to obtain certain characterization results for the Lindley type distributions. The characterization results provide new methods for estimating the unknown parameter of Lindley-type distributions and their goodness-of-fit. The results on the Lindley-type distributions are applied on some real data sets.

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22

Shakil, M., and M. Ahsanullah. "A note on the characterizations of the distributions of the condition numbers of real Gaussian matrices." Special Matrices 6, no. 1 (2018): 282–96. http://dx.doi.org/10.1515/spma-2018-0022.

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Abstract Many researchers and authors have studied the distributions of the condition numbers of real Gaussian matrices, which appear in many fields of pure and applied sciences, such as, probability, statistics, multivariate statistics, linear algebra, operator algebra theory, actuarial science, physics, wireless communications, and polarimetric synthetic aperture radar (PolSAR). Motivated by this, in this paper, we first present several new distributional properties of the distributions of the condition numbers of real Gaussian matrices. Since it is important to know the percentage points of a given distribution for any statistical application, we have also computed percentiles of the said distributions of the condition numbers. Before a particular probability distribution model is applied to fit the real world data, it is necessary to confirm whether the given continuous probability distribution satisfies the underlying requirements by its characterizations. Also, the truncated distributions arise in practical statisticswhere the ability of record observations is limited to a given threshold or within a specified range. In view of these facts, some characterizations by truncated first moment are also presented. We hope that the findings of this paper will be quite useful to the researchers in various fields of pure and applied sciences as stated above.

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Anis, Mohammed Zafar, and Mohammad Ahsanullah. "Some Novel Characterizations of the Rayleigh Distribution." Afrika Statistika 17, no. 4 (2022): 3367–77. http://dx.doi.org/10.16929/as/2022.3367.309.

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The Rayleigh distribution is a continuous probability distribution for skewed non-negative valued random variable with applications in various fields of technology and natural and social sciences. The characterizations are used to identify the distribution of real data. In this paper we will present several characterizations of the Rayleigh distribution based on truncated first moment.

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Hamedani, Gholamhoss G., and Gholamhoss G. Hamedani. "Characterizations of univariate continuous distributions, III." Studia Scientiarum Mathematicarum Hungarica 43, no. 3 (2006): 361–85. http://dx.doi.org/10.1556/sscmath.43.2006.3.4.

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This is a follow up to our previous works characterizing well-known univariate continuous distributions based on a simple relationship between two truncated moments. Three of the distributions considered here unify many distributions employed for size distribution of income (which were characterized in our previous works). Another three distributions characterized here, were first introduced in the context of minimum dynamic discrimination information approch to probability modeling.

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Azam, Zaka, Saeed Akhter Ahmad, and Jabeen Riffat. "Beta Lehmann-2 power function distribution with application to bladder cancer susceptibility and failure times of air-conditioned system." Indian Journal of Science and Technology 13, no. 23 (2020): 2371–86. https://doi.org/10.17485/IJST/v13i23.178.

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Abstract <strong>Objectives:</strong> Probability distributions have great use in reliability engineering where the researchers try to find the distribution of the different processes. To meet the needs of the reliability engineers, we have proposed a simple probability distribution named as Beta Lehman-2 which may be proved more useful as compared to already existing models of the probability distributions. The aim of the study is to show the performance of the proposed distribution over already existing distributions. <strong>Methods:</strong> In this study, a new Beta Lehmann-2 Power function distribution (BL2PFD) is proposed. We suggest a new generator that will modify the Power function distribution called Beta Lehmann-2 generator (BL2-G). <strong>Findings:</strong> The various properties of the new distribution have been discussed in detail such as moments, vitality function, conditional moments and order statistics etc. We have also characterized the BL2PFD based on conditional variance. This distribution can be used for approximately symmetric data (normal data), positive and negative skewed data. <strong>Application:</strong> The application of this distribution is illustrated by using data sets from medical and engineering sources. The shape of the new distribution has been studied for applied sciences. After analyzing data, we conclude that the proposed model BL2PFD perform better in all the data sets while compared to different competitor models. <strong>Keywords:</strong> Beta Lehmann-2 Power function distribution; Characterization of truncated distribution; Lehmann alternatives; Percentile estimator; Power function distribution

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26

Kumar, Devendra, and M. I. Khan. "Relations for Generalized Order Statistics from Doubly Truncated Generalized Exponential Distribution and its Characterization." Mathematical Sciences Letters 2, no. 1 (2013): 9–18. http://dx.doi.org/10.12785/msl/020102.

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27

Ammar, Mariem, Imen Boutouria, and Afif Masmoudi. "The Marshall-Olkin Extended Gamma Lindley distribution: Properties, characterization and inference." Mathematica Slovaca 74, no. 6 (2024): 1587–604. https://doi.org/10.1515/ms-2024-0115.

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Abstract In this research paper, we introduce a new three-parameter model called Marshall-Olkin Extended Gamma Lindley, which provides greater flexibility for modeling lifetime data. We investigate some of its structural properties, including moments and moment generating function. Furthermore, we prove that this model is identifiable. We corroborate that the Marshall-Olkin Extended Gamma Lindley distribution is characterized by its truncated moments of order statistics. Relying on this characterization and the least squares, we set forward a new method in order to estimate the unknown parameters of the proposed model. A comparative study is conducted between this approach and different classical methods of estimation. A real data set is applied to show the flexibility of the suggested model against other models.

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Matsumoto, Atsushi, Tomoyuki Tahara, Haruhiko Morita, et al. "Characterization of Native Human Thrombopoietin in the Blood of Normal Individuals and of Patients with Haematologic Disorders." Thrombosis and Haemostasis 82, no. 07 (1999): 24–29. http://dx.doi.org/10.1055/s-0037-1614624.

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SummaryThrombopoietin (TPO) isolated from thrombocytopenic plasma of various animal species has previously been shown to comprise only truncated forms of the molecule, presumably generated by proteolysis. Native TPO has now been partially purified from normal human plasma by immunoaffinity chromatography and was confirmed to be biologically active. Gel filtration in the presence of SDS revealed that TPO eluted in two peaks: a major peak corresponding to the elution position of fully glycosylated recombinant human TPO (rhTPO) consisting of 332 amino acid residues, and a minor peak corresponding to a smaller molecular size. Immunoblot analysis also revealed that most plasma-derived TPO migrated at the same position as fully glycosylated rhTPO, corresponding to a molecular size of ~80 to 100 kDa. Furthermore, the size distribution of circulating TPO in patients with various haematologic disorders did not differ markedly from that of plasma-derived TPO from healthy individuals. These results indicate that the truncation of circulating TPO is not related to disease pa-thophysiology, and that the predominant form of TPO in blood is a biologically active ~80- to 100-kDa species. The size distribution of TPO extracted from normal platelets was similar to that of TPO in plasma; the proportion of truncated TPO was decreased by prior incubation of platelets with hirudin, indicating that the endogenous truncated TPO, at least in platelet extract, was generated by thrombin-mediated cleavage.

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Ruiz, J. M., and J. Navarro. "Characterizations based on conditional expectations of the doubled truncated distribution." Annals of the Institute of Statistical Mathematics 48, no. 3 (1996): 563–72. http://dx.doi.org/10.1007/bf00050855.

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Kevei, Péter. "On a conjecture of Seneta on regular variation of truncated moments." Publications de l'Institut Math?matique (Belgrade) 109, no. 123 (2021): 77–82. http://dx.doi.org/10.2298/pim2123077k.

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We prove that h?(x) = ??x0 y??1F?(y)dy is regularly varying with index ? [0, ?) if and only if V?(x) = ?[0,x] y?dF(y) is regularly varying with the same index, where ? > 0, F(x) is a distribution function of a nonnegative random variable, and F?(x) = 1?F(x). This contains at ? = 0, ?= 1 a result of Rogozin [8] on relative stability, and at ? = 0, ? = 2 a new, equivalent characterization of the domain of attraction of the normal law. For ? = 0 and ? > 0 our result implies a recent conjecture by Seneta [9].

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Leineweber, Margret, Katrin Spekker-Bosker, Vanessa Ince, et al. "First Characterization of theNeospora caninumDense Granule Protein GRA9." BioMed Research International 2017 (2017): 1–15. http://dx.doi.org/10.1155/2017/6746437.

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The obligate intracellular apicomplexan parasiteNeospora caninum (N. caninum)is closely related toToxoplasma gondii (T. gondii). The dense granules, which are present in all apicomplexan parasites, are important secretory organelles. Dense granule (GRA) proteins are released into the parasitophorous vacuole (PV) following host cell invasion and are known to play important roles in the maintenance of the host-parasite relationship and in the acquisition of nutrients. Here, we provide a detailed characterization of theN. caninumdense granule protein NcGRA9. The in silico genomic organization and key protein characteristics are described. Immunofluorescence-based localization studies revealed that NcGRA9 is located in the dense granules and is released into the interior of the PV following host cell invasion. Immunogold-electron microscopy confirmed the dense granule localization and showed that NcGRA9 is associated with the intravacuolar network. In addition, NcGRA9 is found in the “excreted secreted antigen” (ESA) fraction ofN. caninum. Furthermore, by analysing the distribution of truncated versions of NcGRA9, we provide evidence that the C-terminal region of this protein is essential for the targeting of NcGRA9 into the dense granules ofN. caninum, and the truncated proteins show reduced secretion.

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Kumar, Devendra. "QUOTIENT MOMENTS OF THE ERLANG-TRUNCATED EXPONENTIAL DISTRIBUTION BASED ON RECORD VALUES AND A CHARACTERIZATION." Journal of applied mathematics & informatics 32, no. 1_2 (2014): 7–16. http://dx.doi.org/10.14317/jami.2014.007.

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33

Bar-Lev, Shaul K., and Benzion Boukai. "A characterization of the exponential distribution by means of coincidence of location and truncated densities." Statistical Papers 50, no. 2 (2007): 403–5. http://dx.doi.org/10.1007/s00362-007-0070-7.

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34

Shah, Imtiyaz A. "On a characterization of generalized Erlang-truncated exponential distribution through distributional properties of dual generalized order statistics." Tamkang Journal of Mathematics 44, no. 4 (2013): 445–52. http://dx.doi.org/10.5556/j.tkjm.44.2013.1241.

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Generalized Erlang-truncated exponential distribtion ${F(x)=[1-e^{-\beta(1-e^{-\lambda})x}]}$ has been characterized through translation of two non-adjacent dual generalized order statistics (dgos) and then the characterizing results are obtained for generalized Pareto distribution through dilation of dual generalized order statistics (dgos) and generalized power function distribution through pcontraction of non-adjacent generalized order statistics (gos). Further, the results are deduced for order statistics, lower record statistics, upper record statistics and adjacent generalized order statistics and dual generalized order statistics.

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Shakil, M., and M. Ahsanullah. "Some Characterizations of the Distribution of the Condition Number of a Complex Gaussian Matrix." Special Matrices 8, no. 1 (2020): 22–35. http://dx.doi.org/10.1515/spma-2020-0004.

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AbstractThe objective of this paper is to characterize the distribution of the condition number of a complex Gaussian matrix. Several new distributional properties of the distribution of the condition number of a complex Gaussian matrix are given. Based on such distributional properties, some characterizations of the distribution are given by truncated moment, order statistics and upper record values.

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Muhammad, Mustapha, and Lixia Liu. "Characterization of Marshall-Olkin-G family of distributions by truncated moments." Journal of Mathematics and Computer Science 19, no. 03 (2019): 192–202. http://dx.doi.org/10.22436/jmcs.019.03.06.

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Korkmaz, Mustafa Ç., and G. G. Hamedani. "An alternative distribution to Lindley and Power Lindley distributions with characterizations, different estimation methods and data applications." Mathematica Slovaca 70, no. 4 (2020): 953–78. http://dx.doi.org/10.1515/ms-2017-0406.

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AbstractThis paper proposes a new extended Lindley distribution, which has a more flexible density and hazard rate shapes than the Lindley and Power Lindley distributions, based on the mixture distribution structure in order to model with new distribution characteristics real data phenomena. Its some distributional properties such as the shapes, moments, quantile function, Bonferonni and Lorenz curves, mean deviations and order statistics have been obtained. Characterizations based on two truncated moments, conditional expectation as well as in terms of the hazard function are presented. Different estimation procedures have been employed to estimate the unknown parameters and their performances are compared via Monte Carlo simulations. The flexibility and importance of the proposed model are illustrated by two real data sets.

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Masmoudi, Afif, Dorsaf Laribi, and Imen Boutouria. "An Extended Gamma-Lindley Model and Inference for the Prediction of Covid-19 in Tunisia." Mathematica Slovaca 73, no. 4 (2023): 1055–74. http://dx.doi.org/10.1515/ms-2023-0078.

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ABSTRACT In this research paper, we introduce an extension of the Gamma-Lindley distribution using a particular exponentiation of its cumulative distribution function, which offers a more flexible model for lifetime data. Another attractive feature of this extension is that it has several particular cases: Weibull, generalized Pareto, Lindley, exponential and Gamma-Lindley distributions. Different statistical properties of this distribution are explored, such as the density, failure rate and the r th moments. We attempt to prove that the extended Gamma-Lindley distribution is characterized by its truncated moment of order statistics. One of the main merits of this work lies in the fact that it provides the ability of this characterization to simulate the new distribution compared with the inverse transform sampling method. Estimation of the parameters using the tailed regression method is investigated. The COVID-19 real data evolution in Tunisia illustrates the performance of the EGL distribution compared with its special cases through some criteria such as the Kolmogorov-Smirnov test, Mean Squared error and Kullback-Leibler divergence. The predictive ability of the extended Gamma-Lindley distribution proved to provide a better fit to expect the number of deaths by Corona-virus in Tunisia in the future period.

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KRSTULOVIC, GIORGIO, CARLOS CARTES, MARC BRACHET, and ENRIQUE TIRAPEGUI. "GENERATION AND CHARACTERIZATION OF ABSOLUTE EQUILIBRIUM OF COMPRESSIBLE FLOWS." International Journal of Bifurcation and Chaos 19, no. 10 (2009): 3445–59. http://dx.doi.org/10.1142/s021812740902489x.

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A short review is given of recent papers on the relaxation to (incompressible) absolute equilibrium. A new algorithm to construct absolute equilibrium of spectrally truncated compressible flows is described. The algorithm uses stochastic processes based on the Clebsch representation of the velocity field to generate density and velocity fields that follow by construction the absolute equilibrium stationary probability. The new method is shown to reproduce the well-known Gaussian results in the incompressible limit. The irrotational compressible absolute equilibrium case is characterized and the distribution is shown to be non-Gaussian. The high-temperature compressible spectra are found not to obey k2 scaling. Finally, oscillating behavior in constant-pressure variable-temperature relaxation is obtained, suggesting the presence of second sound.

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Mohie El-Din, M. M., M. A. W. Mahmoud, S. E. Abu-Youssef, and K. S. Sultan. "Order statistics from the doubly truncated linear-exponential distribution and its characterizations." Communications in Statistics - Simulation and Computation 26, no. 1 (1997): 281–90. http://dx.doi.org/10.1080/03610919708813379.

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Nair, N. Unnikrishnan, P. G. Sankaran, and B. Vineshkumar. "Characterization of distributions by properties of truncated Gini index and mean difference." METRON 70, no. 2-3 (2012): 173–91. http://dx.doi.org/10.1007/bf03321974.

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., Nabilatou, Doua Philemon, Laurent Bitjoka, Nicolas Njintang, and Mondo Victor Epane. "Morphological characterization of cassava roots for equipment design." International Journal of Engineering & Technology 13, no. 2 (2024): 230–34. http://dx.doi.org/10.14419/gyfme536.

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Cassava (Manihot esculenta, Crantz), native from Latin America, is one of the main food crops which contribute to ensure alimentary security in Cameroon. In Adamawa region, especially in NGAN’HA area, it is one of the principal food crops cultivated, but not really exploited. According to FAO, there are more than 40% of cassava production lost because of lack of processing equipment like conservation and transformation equipment. The purpose of this study is to carry out the morphological characterization of cassava roots to guide cassava processing equipment design. Twenty cassava roots were harvested at NGAN’HA, have been labeled, measured and weighed. The ends of each cassava root were removed, measured and weighed. The different shapes of the remaining part have been identified by analyzing the diameter variations on the root, separated by scission and the dimensions of each piece have been measured according to the 3D basic solids existing shape at which it was closer. The study revealed that for an entire root, we have 240mm to 845mm of length and 0.42 K to 2.54Kg of weight. The analysis of the central part pieces revealed that a major part of roots has cylindrical shapes (68.57%), and followed by truncated conical (22.86%) and spherical (8.57%). The mean value of diameter for cylindrical roots is 72.44mm, 55.3mm and 75.96mm for truncated conical roots respectively for the smallest and the highest diameters. Spherical roots have 71.78mm of mean diameter. The distribution of length and weight or a single root showed that the cylindrical part can represent until 87.50% of the length and 91.89% of the weight; truncated conical part can represent 53.67% of the length and 4% 0f the mass; spherical part can represent 30% of the length and 45% of the mass; the analysis of the ends revealed that they can represent 4.5% of the total mass of roots. Their mean length is 49.39mm for the left ends and 29.11 for the right ends; the mean weights have the same value of 0.03Kg. The characteristics obtained from this study revealed that the model of equipment to design for industrial transformation of cassava is Lathe.

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Mohsin, Muhammad, Saman Shahbaz, and Muhammad Qaiser Shahbaz. "A CHARACTERIZATION OF ERLANG-TRUNCATED EXPONENTIAL DISTRIBUTION IN RECORD VALUES AND ITS USE IN MEAN RESIDUAL LIFE." Pakistan Journal of Statistics and Operation Research 6, no. 2 (2010): 143. http://dx.doi.org/10.18187/pjsor.v6i2.148.

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Ismail, Ali A., and S. E. Abu-Youssef. "Recurrence relations for the moments of order statistics from doubly truncated modified Makeham distribution and its characterization." Journal of King Saud University - Science 26, no. 3 (2014): 200–204. http://dx.doi.org/10.1016/j.jksus.2013.11.003.

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Asadi, Majid. "Some General Characterizations of the Bivariate Gumbel Distribution and the Bivariate Lomax Distribution Based on Truncated Expectations." Journal of Multivariate Analysis 67, no. 2 (1998): 190–202. http://dx.doi.org/10.1006/jmva.1998.1767.

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Gl�nzel, W., A. Telcs, and A. Schubert. "Correction to characterization by truncated moments and its application to pearson-type distributions." Probability Theory and Related Fields 74, no. 2 (1987): 317. http://dx.doi.org/10.1007/bf00569996.

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Telcs, A., W. Glänzel, and A. Schubert. "Characterization and statistical test using truncated expectations for a class of skew distributions." Mathematical Social Sciences 10, no. 2 (1985): 169–78. http://dx.doi.org/10.1016/0165-4896(85)90033-2.

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Xue, Liang, Diao Li, Cheng Dai, and Tongchao Nan. "Characterization of Aquifer Multiscale Properties by Generating Random Fractal Field with Truncated Power Variogram Model Using Karhunen–Loève Expansion." Geofluids 2017 (2017): 1–11. http://dx.doi.org/10.1155/2017/1361289.

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The traditional geostatistics to describe the spatial variation of hydrogeological properties is based on the assumption of stationarity or statistical homogeneity. However, growing evidences show and it has been widely recognized that the spatial distribution of many hydrogeological properties can be characterized as random fractals with multiscale feature, and spatial variation can be described by power variogram model. It is difficult to generate a multiscale random fractal field by directly using nonstationary power variogram model due to the lack of explicit covariance function. Here we adopt the stationary truncated power variogram model to avoid this difficulty and generate the multiscale random fractal field using Karhunen–Loève (KL) expansion. The results show that either the unconditional or conditional (on measurements) multiscale random fractal field can be generated by using truncated power variogram model and KL expansion when the upper limit of the integral scale is sufficiently large, and the main structure of the spatial variation can be described by using only the first few dominant KL expansion terms associated with large eigenvalues. The latter provides a foundation to perform dimensionality reduction and saves computational effort when analyzing the stochastic flow and transport problems.

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Abd Al Ahad, E. Adward. "Recurrence Relations of Single and Product Moments of Order Statistics from Doubly Truncated Generalized Exponential Distribution and Its Characterization." Journal of Natural Sciences and Mathematics 6, no. 2 (2013): 141–50. http://dx.doi.org/10.12816/0009425.

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DeWitt, Thomas D., and Timothy J. Garrett. "Finite domains cause bias in measured and modeled distributions of cloud sizes." Atmospheric Chemistry and Physics 24, no. 14 (2024): 8457–72. http://dx.doi.org/10.5194/acp-24-8457-2024.

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Abstract. A significant uncertainty in assessments of the role of clouds in climate is the characterization of the full distribution of their sizes. Order-of-magnitude disagreements exist among observations of key distribution parameters, particularly power law exponents and the range over which they apply. A study by Savre and Craig (2023) suggested that the discrepancies are due in large part to inaccurate fitting methods: they recommended the use of a maximum likelihood estimation technique rather than a linear regression to a logarithmically transformed histogram of cloud sizes. Here, we counter that linear regression is both simpler and equally accurate, provided the simple precaution is followed that bins containing fewer than ∼ 24 counts are omitted from the regression. A much more significant and underappreciated source of error is how to treat clouds that are truncated by the edges of unavoidably finite measurement domains. We offer a simple computational procedure to identify and correct for domain size effects, with potential application to any geometric size distribution of objects, whether physical, ecological, social or mathematical.

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