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Articles de revues sur le sujet « Lifetime distributions »

Auteur : Grafiati

Publié le 3 juin 2025

Mis à jour le 31 juillet 2025

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1

Wu, Shu-Fei, and Wei-Tsung Chang. "The Evaluation on the Process Capability Index CL for Exponentiated Frech’et Lifetime Product under Progressive Type I Interval Censoring." Symmetry 13, no. 6 (2021): 1032. http://dx.doi.org/10.3390/sym13061032.

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We present the likelihood inferences on the lifetime performance index CL to evaluate the performance of lifetimes of products following the skewed Exponentiated Frech’et distribution in many manufacturing industries. This research is related to the topic of skewed Probability Distributions and Applications across Disciplines. Exponentiated Frech’et distribution is a generalization of some lifetime distributions. The maximum likelihood estimator for CL for lifetimes with exponentiated Frech’et distribution is derived to develop a computational testing procedure so that experimenters can implem

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Lupu, Carmen Elena, Sergiu Lupu, and Adina Petcu. "EB lifetime distributions as alternative to the EP lifetime distributions." Analele Universitatii "Ovidius" Constanta - Seria Matematica 22, no. 3 (2014): 115–26. http://dx.doi.org/10.2478/auom-2014-0053.

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AbstractIn this paper we consider lifetime distributions called EB-Max distribution and EB-Min. In the conditions of the Poisson’s Limit Theorem it is shown that EB-Max distribution may be approximated by its analogous called EP-Max lifetime distribution and EB-Min distribution may be approximated by its analogous EP-Min lifetime distribution. Further, as example, two methods are provided to simulate pseudo random number for EB-Min distribution and we apply EM algorithm to estimate parameters of EB-Min distribution. An example with real data is also presented and the proposed simulation algori

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3

Pfalzner, Susanne. "Deriving Median Disk Lifetimes from Disk Lifetime Distributions." Research Notes of the AAS 6, no. 10 (2022): 219. http://dx.doi.org/10.3847/2515-5172/ac9b53.

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Abstract Observations show that individual protoplanetary disk lifetimes vary from <1 Myr to ≫20 Myr. The disk lifetime distribution is currently unknown. For the example of a Gaussian distribution of the disk lifetime, I suggest a simple method for deducing such a disk lifetimes distribution. The median disk lifetimes inferred with this method is also shown.

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4

Edeme, Chukwuma Percy, and F. Z. Okwonu. "THE ODD LOMAX TOPP LEONE DISTRIBUTION: PROPERTIES AND APPLICATION." FUDMA JOURNAL OF SCIENCES 8, no. 5 (2024): 286–94. http://dx.doi.org/10.33003/fjs-2024-0805-2849.

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Lifetime distributions are parametric models used in statistical analyses of time-to-event data. Several probability distributions have been very used in literature to model lifetime data sets which have been useful in the analysis of lifetime data, but in most cases, they are not flexible enough to analyze some complex lifetime data in practice. Due to the importance of these lifetime distributions in modeling real lifetime data, there has several modifications and generalization of lifetime distributions, particularly the Lomax distribution to develop more flexible distributions to address t

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5

Rahman, AKM Fazlur, and Edsel A. Pena. "Nonparametric bayes estimation of the reliability function of a coherent system." Journal of Statistical Research 54, no. 2 (2021): 183–206. http://dx.doi.org/10.47302/jsr.2020540206.

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Complex coherent systems are the engines driving forward our technological world. A coherent system is composed of components, which could be modules or sub-systems, that interact with each other according to some structure function. For purposes of maintenance and safety considerations, it is of critical importance to gain knowledge of the distribution of the system lifetime, with this distribution being a function of the distributions of the components lifetimes. Since the monitoring of a system ceases upon system failure, at system failure some components will be failed, while others, depen

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6

Coyle, A. J., and P. G. Taylor. "Tight bounds on the sensitivity of generalised semi-Markov processes with a single generally distributed lifetime." Journal of Applied Probability 32, no. 1 (1995): 63–73. http://dx.doi.org/10.2307/3214921.

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There are some generalised semi-Markov processes (GSMP) which are insensitive, that is the value of some performance measures for the system depend only on the mean value of lifetimes and not on their actual distribution. In most cases this is not true and a performance measure can take on a number of values depending on the lifetime distributions. In this paper we present a method for finding tight bounds on the sensitivity of performance measures for the class of GSMPs with a single generally distributed lifetime. Using this method we can find upper and lower bounds for the value of a functi

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7

Coyle, A. J., and P. G. Taylor. "Tight bounds on the sensitivity of generalised semi-Markov processes with a single generally distributed lifetime." Journal of Applied Probability 32, no. 01 (1995): 63–73. http://dx.doi.org/10.1017/s0021900200102578.

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There are some generalised semi-Markov processes (GSMP) which are insensitive, that is the value of some performance measures for the system depend only on the mean value of lifetimes and not on their actual distribution. In most cases this is not true and a performance measure can take on a number of values depending on the lifetime distributions. In this paper we present a method for finding tight bounds on the sensitivity of performance measures for the class of GSMPs with a single generally distributed lifetime. Using this method we can find upper and lower bounds for the value of a functi

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8

Klar, Bernhard, and Alfred Müller. "Characterizations of classes of lifetime distributions generalizing the NBUE class." Journal of Applied Probability 40, no. 1 (2003): 20–32. http://dx.doi.org/10.1239/jap/1044476825.

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We introduce a new class of lifetime distributions exhibiting a notion of positive ageing, called the ℳ-class, which is strongly related to the well-known ℒ-class. It is shown that distributions in the ℳ-class cannot have an undesirable property recently observed in an example of an ℒ-class distribution by Klar (2002). Moreover, it is shown how these and related classes of life distributions can be characterized by expected remaining lifetimes after a family of random times, thus extending the notion of NBUE. We give examples of ℳ-class distributions by using simple sufficient conditions, and

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9

Klar, Bernhard, and Alfred Müller. "Characterizations of classes of lifetime distributions generalizing the NBUE class." Journal of Applied Probability 40, no. 01 (2003): 20–32. http://dx.doi.org/10.1017/s0021900200022245.

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We introduce a new class of lifetime distributions exhibiting a notion of positive ageing, called the ℳ-class, which is strongly related to the well-known ℒ-class. It is shown that distributions in the ℳ-class cannot have an undesirable property recently observed in an example of an ℒ-class distribution by Klar (2002). Moreover, it is shown how these and related classes of life distributions can be characterized by expected remaining lifetimes after a family of random times, thus extending the notion of NBUE. We give examples of ℳ-class distributions by using simple sufficient conditions, and

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10

Radhakrishnan, Rekha, D. Venkatesan, and C. B. Prasanth. "Sujit Distribution and Its Applications." INTERNATIONAL JOURNAL OF AGRICULTURAL AND STATISTICAL SCIENCES 21, no. 01 (2025): 161. https://doi.org/10.59467/ijass.2025.21.161.

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To represent lifetime data, a new one-parameter lifetime distribution referred to as ''Sujit distribution'' has been developed. This model is a mixture of the gamma and exponential distributions. It has been discussed how the recommended distribution's moments, kurtosis, shape, hazard rate function, skewness, as well as mean residual functions are among its key characteristics. Maximum Likelihood Valuation has been utilized to evaluate the parameters. A real-world data set was used in the last session to determine the distribution's best fit.. KEYWORDS :Lifetime distribution, Mean residual lif

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11

Ghurye, S. G. "Some multivariate lifetime distributions." Advances in Applied Probability 19, no. 1 (1987): 138–55. http://dx.doi.org/10.2307/1427377.

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The family of distributions which have the lack-of-memory property is extended by incorporating simple patterns of ageing in the model. Some relatively simple multivariate distributions, obtained in this manner, might prove to be more realistic than distributions like the multivariate exponential.

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Ghurye, S. G. "Some multivariate lifetime distributions." Advances in Applied Probability 19, no. 01 (1987): 138–55. http://dx.doi.org/10.1017/s0001867800016426.

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The family of distributions which have the lack-of-memory property is extended by incorporating simple patterns of ageing in the model. Some relatively simple multivariate distributions, obtained in this manner, might prove to be more realistic than distributions like the multivariate exponential.

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13

Nadarajah, S. "Reliability for lifetime distributions." Mathematical and Computer Modelling 37, no. 7-8 (2003): 683–88. http://dx.doi.org/10.1016/s0895-7177(03)00074-8.

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14

Ahmad-Shariff, A., D. C. Swailes, and A. V. Metcalfe. "Stochastic Crack Propagation in Offshore Structures: The Sensitivity of Component Lifetime to Wave Distribution Models." Journal of Offshore Mechanics and Arctic Engineering 120, no. 1 (1998): 43–49. http://dx.doi.org/10.1115/1.2829519.

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Stress variations induced by wave loading can lead to fatigue crack growth in structural components of offshore structures. This paper is concerned with the influence of the form of the statistical distributions for wave height on the damage accumulation and lifetime of a structural component. Damage accumulation is modeled by a stochastic Paris-Erdogan equation in which the increase in crack size is proportional to a power (m) of the range of the stress intensity factor. Analytic expressions for the mean and variance of damage, and approximate mean lifetime, of a component are derived for the

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15

Pappas, Vasileios, Konstantinos Adamidis, and Sotirios Loukas. "A Family of Lifetime Distributions." International Journal of Quality, Statistics, and Reliability 2012 (May 13, 2012): 1–6. http://dx.doi.org/10.1155/2012/760687.

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A four-parameter family of Weibull distributions is introduced, as an example of a more general class created along the lines of Marshall and Olkin, 1997. Various properties of the distribution are explored and its usefulness in modelling real data is demonstrated using maximum likelihood estimates.

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16

Asadi, Majid, Nader Ebrahimi, G. G. Hamedani, and Ehsan S. Soofi. "Maximum dynamic entropy models." Journal of Applied Probability 41, no. 2 (2004): 379–90. http://dx.doi.org/10.1239/jap/1082999073.

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A formal approach to produce a model for the data-generating distribution based on partial knowledge is the well-known maximum entropy method. In this approach, partial knowledge about the data-generating distribution is formulated in terms of some information constraints and the model is obtained by maximizing the Shannon entropy under these constraints. Frequently, in reliability analysis the problem of interest is the lifetime beyond an age t. In such cases, the distribution of interest for computing uncertainty and information is the residual distribution. The information functions involvi

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17

Asadi, Majid, Nader Ebrahimi, G. G. Hamedani, and Ehsan S. Soofi. "Maximum dynamic entropy models." Journal of Applied Probability 41, no. 02 (2004): 379–90. http://dx.doi.org/10.1017/s0021900200014376.

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A formal approach to produce a model for the data-generating distribution based on partial knowledge is the well-known maximum entropy method. In this approach, partial knowledge about the data-generating distribution is formulated in terms of some information constraints and the model is obtained by maximizing the Shannon entropy under these constraints. Frequently, in reliability analysis the problem of interest is the lifetime beyond an age t. In such cases, the distribution of interest for computing uncertainty and information is the residual distribution. The information functions involvi

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18

Aldeni, Mamoud, Felix Famoye, and Carl Lee. "A Generalized Family of Lifetime Distributions and Survival Models." Journal of Modern Applied Statistical Methods 18, no. 2 (2020): 2–34. http://dx.doi.org/10.22237/jmasm/1604190060.

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In lifetime data, the hazard function is a common technique for describing the characteristics of lifetime distribution. Monotone increasing or decreasing, and unimodal are relatively simple hazard function shapes, which can be modeled by many parametric lifetime distributions. However, fewer distributions are capable of modeling diverse and more complicated shapes such as N-shaped, reflected N-shaped, W-shaped, and M-shaped hazard rate functions. A generalized family of lifetime distributions, the uniform-R{generalized lambda} (U-R{GL}) are introduced and the corresponding survival models are

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19

Aly, Hanan M., and Ola A. Abuelamayem. "Multivariate Inverted Kumaraswamy Distribution: Derivation and Estimation." Mathematical Problems in Engineering 2020 (October 21, 2020): 1–27. http://dx.doi.org/10.1155/2020/6349523.

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Industrial revolution leads to the manufacturing of multicomponent products; to guarantee the sufficiency of the product and consumer satisfaction, the producer has to study the lifetime of the products. This leads to the use of bivariate and multivariate lifetime distributions in reliability engineering. The most popular and applicable is Marshall–Olkin family of distributions. In this paper, a new bivariate lifetime distribution which is the bivariate inverted Kumaraswamy (BIK) distribution is found and its properties are illustrated. Estimation using both maximum likelihood and Bayesian app

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20

Chaudhary, Arun Kumar, Lal Babu Sah Telee, and Vijay Kumar. "Modified Half -Cauchy Chen (MHCC) Distribution with Applications to Lifetime Dataset." NCC Journal 9, no. 1 (2024): 112–20. https://doi.org/10.3126/nccj.v9i1.72259.

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In this article, we have recommended an innovative versatile distribution called Modified Half-Cauchy Chen distribution by modifying half-Cauchy Chen distribution. The recommended distribution's various properties are derived and analyzed. The recommended distribution's parameters are ascertained by applying the maximum likelihood estimation (MLE) approach. Furthermore, the performance of the Modified Half-Cauchy Chen distribution is compared against other distributions using various statistical measures. These measures consist of the Corrected Akaike Information Criterion (CAIC), the Kolmogor

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21

Rotaru, Maria. "STATISTICAL SIMULATION OF RELIABILITY OF NETWORKS WITH EXPONENTIALLY DISTRIBUTED UNIT LIFETIMES." JOURNAL OF ENGINEERING SCIENCE 31, no. 3 (2024): 44–53. https://doi.org/10.52326/jes.utm.2024.31(3).04.

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In this paper, there were deduced three new lifetime distributions of serial-parallel and parallel-serial networks, their distribution being approached by means of analytical and Monte-Carlo methods. The novelty of the distribution consists in the fact that the number of subnets is random, governed by the Poisson and Logarithmic distributions, the lifetimes of the units in each subnet being independent, identically, exponentially distributed random variables, the number of units in each subnet is the same constant integer number. It was shown that the most important theoretical characteristics

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22

Rotaru, Maria. "Statistical simulation of reliability of networks with exponentially distributed unit lifetimes." Journal of Engineering Science 31, no. 3 (2024): 44–53. https://doi.org/10.52326/jes.utm.2024.31(3).04.

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In this paper, there were deduced three new lifetime distributions of serial-parallel and parallel-serial networks, their distribution being approached by means of analytical and Monte-Carlo methods. The novelty of the distribution consists in the fact that the number of subnets is random, governed by the Poisson and Logarithmic distributions, the lifetimes of the units in each subnet being independent, identically, exponentially distributed random variables, the number of units in each subnet is the same constant integer number. It was shown that the most important theoretical characteristics

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23

Szymkowiak, Magdalena. "Measures of ageing tendency." Journal of Applied Probability 56, no. 2 (2019): 358–83. http://dx.doi.org/10.1017/jpr.2019.28.

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AbstractA family of generalized ageing intensity functions of univariate absolutely continuous lifetime random variables is introduced and studied. They allow the analysis and measurement of the ageing tendency from various points of view. Some of these generalized ageing intensities characterize families of distributions dependent on a single parameter, while others determine distributions uniquely. In particular, it is shown that the elasticity functions of various transformations of distributions that appear in lifetime analysis and reliability theory uniquely characterize the parent distri

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24

Louzada, Francisco, Vitor Marchi, and James Carpenter. "The Complementary Exponentiated Exponential Geometric Lifetime Distribution." Journal of Probability and Statistics 2013 (2013): 1–12. http://dx.doi.org/10.1155/2013/502159.

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We proposed a new family of lifetime distributions, namely, complementary exponentiated exponential geometric distribution. This new family arises on a latent competing risk scenario, where the lifetime associated with a particular risk is not observable but only the maximum lifetime value among all risks. The properties of the proposed distribution are discussed, including a formal proof of its probability density function and explicit algebraic formulas for its survival and hazard functions, moments,rth moment of theith order statistic, mean residual lifetime, and modal value. Inference is i

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25

Wu, Shu-Fei. "The Optimal Experimental Design for Exponentiated Frech’et Lifetime Products." Symmetry 16, no. 9 (2024): 1132. http://dx.doi.org/10.3390/sym16091132.

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In many manufacturing industries, the lifetime performance index CL is utilized to assess the manufacturing process performance for products following some lifetime distributions and subjecting them to progressive type I interval censoring. This paper aims to explore the sampling design required to achieve a specified level of significance and test power for products with lifetimes following the Exponentiated Frech’et distribution. Since lifetime distribution is an asymmetrical probability distribution, this investigation is related to the topic of asymmetrical probability distributions and ap

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Pfalzner, Susanne, and Furkan Dincer. "Low-mass Stars: Their Protoplanetary Disk Lifetime Distribution." Astrophysical Journal 963, no. 2 (2024): 122. http://dx.doi.org/10.3847/1538-4357/ad1bef.

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Abstract While most protoplanetary disks lose their gas within less than 10 Myr, individual disk lifetimes vary from <1 Myr to ≫20 Myr, with some disks existing for 40 Myr. Mean disk half-lifetimes hide this diversity; only a so-far nonexisting disk lifetime distribution could capture this fact. The benefit of a disk lifetime distribution would be twofold. First, it would provide a stringent test on disk evolution theories. Second, it could function as an input for planet formation models. Here, we derive such a disk lifetime distribution. We heuristically test different standard distributi

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27

Deshpande, J. V., and S. R. Karia. "Bounds for the Joint Survival and Incidence Functions Through Coherent System Data." Advances in Applied Probability 29, no. 2 (1997): 478–97. http://dx.doi.org/10.2307/1428013.

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In the series system (competing risks) set-up the observed data are generally accepted as the lifetime (T) and the identifier (δ) of the component causing the failure of the system. Peterson (1976) has provided bounds for the joint survival function of the component lifetimes in terms of the joint distribution of (T, δ). In the case of more complex coherent systems, there are various schemes of observation in the literature. In this paper we provide bounds for the joint and marginal survival functions of the component lifetimes in terms of the joint distribution of the data as obtained under e

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Deshpande, J. V., and S. R. Karia. "Bounds for the Joint Survival and Incidence Functions Through Coherent System Data." Advances in Applied Probability 29, no. 02 (1997): 478–97. http://dx.doi.org/10.1017/s0001867800028093.

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In the series system (competing risks) set-up the observed data are generally accepted as the lifetime (T) and the identifier (δ) of the component causing the failure of the system. Peterson (1976) has provided bounds for the joint survival function of the component lifetimes in terms of the joint distribution of (T, δ). In the case of more complex coherent systems, there are various schemes of observation in the literature. In this paper we provide bounds for the joint and marginal survival functions of the component lifetimes in terms of the joint distribution of the data as obtained under e

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29

Jupp, P. E. "Characterization of matrix probability distributions by mean residual lifetime." Mathematical Proceedings of the Cambridge Philosophical Society 100, no. 3 (1986): 583–89. http://dx.doi.org/10.1017/s0305004100066305.

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The mean residual lifetime of a real-valued random variable X is the function e defined byOne of the more important properties of the mean residual lifetime function is that it determines the distribution of X. See, for example, Swartz [10]. References to related characterizations are given by Galambos and Kotz [3], pages 30–35. It was established by Jupp and Mardia[6] that this property holds also for vector-valued X. As (1·1) makes sense if X is a random symmetric matrix, it is natural to ask whether the property holds in this case also. The purpose of this note is to show that, under certai

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Kayid, Mohamed, and Mansour Shrahili. "Rényi Entropy for Past Lifetime Distributions with Application in Inactive Coherent Systems." Symmetry 15, no. 7 (2023): 1310. http://dx.doi.org/10.3390/sym15071310.

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In parallel with the concept of Rényi entropy for residual lifetime distributions, the Rényi entropy of inactivity time of lifetime distributions belonging to asymmetric distributions is a useful measure of independent interest. For a system that turns out to be inactive in time t, the past entropy is considered as an uncertainty measure for the past lifetime distribution. In this study, we consider a coherent system that includes n components and has the property that all the components of the system have failed at time t. To assess the predictability of the coherent system’s lifetime, we use

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31

Miller, Bruce N., Terrence L. Reese, and Gregory Worrell. "Positron lifetime distributions in fluids." Physical Review E 47, no. 6 (1993): 4083–87. http://dx.doi.org/10.1103/physreve.47.4083.

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Alcala, J. R., E. Gratton, and F. G. Prendergast. "Fluorescence lifetime distributions in proteins." Biophysical Journal 51, no. 4 (1987): 597–604. http://dx.doi.org/10.1016/s0006-3495(87)83384-2.

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Ting Lee, Mei-Ling, and Alan J. Gross. "Lifetime distributions under unknown environment." Journal of Statistical Planning and Inference 29, no. 1-2 (1991): 137–43. http://dx.doi.org/10.1016/0378-3758(92)90128-f.

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Kemp, Adrienne W. "Classes of Discrete Lifetime Distributions." Communications in Statistics - Theory and Methods 33, no. 12 (2004): 3069–93. http://dx.doi.org/10.1081/sta-200039051.

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Joyce, W. B. "Generic parameterization of lifetime distributions." IEEE Transactions on Electron Devices 36, no. 7 (1989): 1389–90. http://dx.doi.org/10.1109/16.30947.

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Shamlan, D., H. Baaqeel, and A. Fayomi. "A Discrete Odd Lindley Half-Logistic Distribution with Applications." Journal of Physics: Conference Series 2701, no. 1 (2024): 012034. http://dx.doi.org/10.1088/1742-6596/2701/1/012034.

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Abstract In the reality, the most of lifetime data is discrete in nature, despite it is known that this data is continuous. As a consequence, the tendency to convert the continuous lifetime distributions to its discrete counterpart has raised. The nature of the most lifetime data in real life is discrete, thus, many of researchers interested to convert. This article aims to introduce a new one-parameter discrete distribution, namely Discrete Odd Lindley Half-Logistic (DOLiHL) distribution. The DOLiHL distribution is derived by discretizing the analogue continuous distribution, using a survival

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37

Sarhan, Ammar M., Lotfi Tadj, and David C. Hamilton. "A New Lifetime Distribution and Its Power Transformation." Journal of Probability and Statistics 2014 (2014): 1–14. http://dx.doi.org/10.1155/2014/532024.

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New one-parameter and two-parameter distributions are introduced in this paper. The failure rate of the one-parameter distribution is unimodal (upside-down bathtub), while the failure rate of the two-parameter distribution can be decreasing, increasing, unimodal, increasing-decreasing-increasing, or decreasing-increasing-decreasing, depending on the values of its two parameters. The two-parameter distribution is derived from the one-parameter distribution by using a power transformation. We discuss some properties of these two distributions, such as the behavior of the failure rate function, t

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38

Nowik, Shmuel. "Identifiability problems in coherent systems." Journal of Applied Probability 27, no. 4 (1990): 862–72. http://dx.doi.org/10.2307/3214829.

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Given a coherent system, let Z be the age of the machine at breakdown, and I the set of parts failed by time Z. Assume that the component lifetimes are independent. Assume further that the lifetime distributions are mutually absolutely continuous and that each possesses a single positive atom at the common essential infimum. We prove that the joint distribution of (Z, I) identifies the lifetime distribution of each part if and only if there is at most one component belonging to all cut sets. If we relax the mutual absolute continuity assumption by allowing isolated intervals of constancy, then

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Nowik, Shmuel. "Identifiability problems in coherent systems." Journal of Applied Probability 27, no. 04 (1990): 862–72. http://dx.doi.org/10.1017/s0021900200028035.

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Given a coherent system, let Z be the age of the machine at breakdown, and I the set of parts failed by time Z. Assume that the component lifetimes are independent. Assume further that the lifetime distributions are mutually absolutely continuous and that each possesses a single positive atom at the common essential infimum. We prove that the joint distribution of (Z, I) identifies the lifetime distribution of each part if and only if there is at most one component belonging to all cut sets. If we relax the mutual absolute continuity assumption by allowing isolated intervals of constancy, then

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40

Rahmouni, Mohieddine, and Ayman Orabi. "The Exponential-Generalized Truncated Geometric (EGTG) Distribution: A New Lifetime Distribution." International Journal of Statistics and Probability 7, no. 1 (2017): 1. http://dx.doi.org/10.5539/ijsp.v7n1p1.

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This paper introduces a new two-parameter lifetime distribution, called the exponential-generalized truncated geometric (EGTG) distribution, by compounding the exponential with the generalized truncated geometric distributions. The new distribution involves two important known distributions, i.e., the exponential-geometric (Adamidis and Loukas, 1998) and the extended (complementary) exponential-geometric distributions (Adamidis et al., 2005; Louzada et al., 2011) in the minimum and maximum lifetime cases, respectively. General forms of the probability distribution, the survival and the failure

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41

Hassan, A., A. Rashid, and N. Akhtar. "Correction* Exponentiated quasi power Lindley power series distribution with applications in medical science." Journal of Applied Mathematics, Statistics and Informatics 16, no. 2 (2020): 85–108. http://dx.doi.org/10.2478/jamsi-2020-0011.

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Abstract The present paper introduces an advanced five parameter lifetime model which is obtained by compounding exponentiated quasi power Lindley distribution with power series family of distributions. The EQPLPS family of distributions contains several lifetime sub-classes such as quasi power Lindley power series, power Lindley power series, quasi Lindley power series and Lindley power series. The proposed distribution exhibits decreasing, increasing and bathtub shaped hazard rate functions depending on its parameters. It is more flexible as it can generate new lifetime distributions as well

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Hassan, A., A. Rashid, and N. Akhtar. "Exponentiated quasi power Lindley power series distribution with applications in medical science." Journal of Applied Mathematics, Statistics and Informatics 16, no. 1 (2020): 37–60. http://dx.doi.org/10.2478/jamsi-2020-0004.

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AbstractThe present paper introduces an advanced five parameter lifetime model which is obtained by compounding exponentiated quasi power Lindley distribution with power series family of distributions. The EQPLPS family of distributions contains several lifetime sub-classes such as quasi power Lindley power series, power Lindley power series, quasi Lindley power series and Lindley power series. The proposed distribution exhibits decreasing, increasing and bathtub shaped hazard rate functions depending on its parameters. It is more flexible as it can generate new lifetime distributions as well

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Pentury, Thomas, Rudy W. Matakupan, and Lexy J. Sinay. "APROKSIMASI DISTRIBUSI WAKTU HIDUP YANG AKAN DATANG." BAREKENG: Jurnal Ilmu Matematika dan Terapan 5, no. 1 (2011): 47–51. http://dx.doi.org/10.30598/barekengvol5iss1pp47-51.

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This paper give an analitical technique to approximate future lifetime distributions. Approximations of the future lifetime distribution based on the shifted Jacobi polynomials, andit yielded the sequences of a exponentials combination. The results of approximations of the future lifetime distribution in this cases study based on Makeham’s Law. It is very accurate inthe case study.

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Niu, Ruizheng, Weizhong Tian, and Yunchu Zhang. "Discriminating among Generalized Exponential, Weighted Exponential and Weibull Distributions." Mathematics 11, no. 18 (2023): 3847. http://dx.doi.org/10.3390/math11183847.

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In this paper, we consider the problem of discriminating among three different positively skewed lifetime distributions, namely the generalized exponential distribution, the weighted exponential distribution, and the Weibull distribution. All of these distributions have been used quite effectively to analyze positively skewed lifetime data. We use the methods of the ratio of maximized likelihood, the minimum Kolmogorov distance, and the sequential probability ratio test to discriminate among these three distributions. The probability of correct selection is considered for each hypothesis based

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Shanker, Rama. "Sujatha distribution and its applications." Statistics in Transition new series 17, no. 3 (2016): 391–410. http://dx.doi.org/10.59170/stattrans-2016-023.

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In this paper a new one-parameter lifetime distribution named “Sujatha Distribution” with an increasing hazard rate for modelling lifetime data has been suggested. Its first four moments about origin and moments about mean have been obtained and expressions for coefficient of variation, skewness, kurtosis and index of dispersion have been given. Various mathematical and statistical properties of the proposed distribution including its hazard rate function, mean residual life function, stochastic ordering, mean deviations, Bonferroni and Lorenz curves, and stress-strength reliability have been

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Maryam, Mohiuddin, and Kannan R. "Alpha Power Transformed Aradhana Distributions, Its Properties and Applications." Indian Journal of Science and Technology 14, no. 30 (2021): 2483–93. https://doi.org/10.17485/IJST/v14i30.598.

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Abstract <strong>Objectives:</strong> To introduce a new two-parameter lifetime distribution that will be more flexible in modeling real lifetime data over the existing common lifetime distributions.<strong> Methods:</strong> The new two-parameter lifetime distribution is generated by using the Alpha Power Transformed model developed by Mahdavi and Kundu. In this method, the probability density function and cumulative distribution function of Aradhana distribution are used as a base distribution for generating Alpha Power Transformed Aradhana Distribution. The probability densit

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Băncescu, Irina. "Some classes of statistical distributions. Properties and Applications." Analele Universitatii "Ovidius" Constanta - Seria Matematica 26, no. 1 (2018): 43–68. http://dx.doi.org/10.2478/auom-2018-0002.

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Abstract We propose a new method of constructing statistical models which can be interpreted as the lifetime distributions of series-parallel/parallel- series systems used in characterizing coherent systems. An open problem regarding coherent systems is comparing the expected system lifetimes. Using these models, we discuss and establish conditions for ordering of expected system lifetimes of complex series-parallel/parallel-series systems. Also, we consider parameter estimation and the analysis of two real data sets. We give formulae for the reliability, hazard rate and mean hazard rate funct

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Shanker, Rama. "Uma distribution with properties and applications." Biometrics & Biostatistics International Journal 11, no. 5 (2022): 165–69. http://dx.doi.org/10.15406/bbij.2022.11.00372.

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The stochastic natures of lifetime data are really a challenge for statistician to search a suitable distribution for modeling and analysis of lifetime data. Keeping in mind the stochastic natures of lifetime data, a new lifetime distribution named Uma distribution has been suggested. Its several statistical properties, estimation of parameter and applications have been discussed. Applications of the distribution have been presented with three datasets and the goodness of fit of Uma distribution has been compared with exponential, Lindley, Shanker, Akash and Sujatha distributions.

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S., A. Osagie, C. Opone F., and E. Osemwenkhae J. "Type II half logistic Lomax-Weibull distribution: properties, simulations and applications." Asia Mathematika 8, no. 1 (2024): 92——111. https://doi.org/10.5281/zenodo.12970448.

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The relevance of lifetime distributions in the theory of statistical modeling has attracted a commendable effort from researchers to continue developing more tractable and flexible lifetime distributions to tackle the unfolding complex data in various fields of study.  In this paper, a new five-parameter lifetime distribution is developed by utilizing the Lomax-Weibull distribution as a baseline distribution in the well-known Type II Half Logistic-G family. The resulting distribution is known as the Type II Half Logistic Lomax-Weibull (TIIHLLW) distribution. The TIIHLLW distribution has t

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J., Chisimkwuo, Tal M. P., Pokalas P. T., and Ohakwe J. "Inverse Shanker Distribution Its Properties and Application." African Journal of Mathematics and Statistics Studies 7, no. 3 (2024): 29–42. http://dx.doi.org/10.52589/ajmss-jradhtye.

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In this paper, new lifetime distribution has been proposed called the Inverse Shanker distribution. Its statistical properties including stochastic ordering, survival function, hazard rate function, Renyi entropy and Stress-strength reliability measure have been discussed. Maximum likelihood estimation method was used to estimate the parameter of the distribution. We compared the applicability of Inverse Shanker distribution with one parameter Inverse distributions, Inverse Lindley distribution (ILD), and Inverse Rayleigh distribution (IRD), based on two real data sets. Finally, the proposed d

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