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1

Rayner, J. C. W., D. J. Best, and K. L. Mathews. "Interpreting the skewness coefficient." Communications in Statistics - Theory and Methods 24, no. 3 (1995): 593–600. http://dx.doi.org/10.1080/03610929508831509.

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2

Eltehiwy, Mahmoud A., and Abu-Bakr A. AbdulMotaal. "A New coefficient of Skewness for grouped data." Biometrics & Biostatistics International Journal 9, no. 2 (2020): 54–59. http://dx.doi.org/10.15406/bbij.2020.09.00300.

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The primary objective of this paper is to introduce a new measure for detecting skewness for grouped data, which is simpler than the current measures in its application. The new proposed coefficient of skewness based on the cumulative frequency data and hence uses more information from the tails of the distribution and thus will be more appropriate to detect asymmetry in the data. Another advantage of the new statistic is that it is bounded by -1 and +1; hence, the coefficients of skewness can be interpreted easily. Simulation study is employed to assess the performance of the proposed coeffic
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Tarikere, Kirankumar, and Akhil Dattatraya Joshi. "Relationship between Karl Pearson’s Coefficient of Skewness (Sk) and Ginni’s Coefficient of Concentration (G) under the purview of Digital Payments in India." Asian Journal of Probability and Statistics 23, no. 1 (2023): 28–45. http://dx.doi.org/10.9734/ajpas/2023/v23i1495.

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Aims: Statistics is one of the most important fields. It carries out observation, collection, analysis and interpretation of collected data with necessary techniques and tools for analysis. There are many parameters which help in analyzing the data. Amongst them, Karl Pearson’s Coefficient of Skewness and Ginni’ Coefficient of Concentration are very important. Karl Pearson’s Coefficient of Skewness plays an important role in measuring the symmetry. Symmetry and its measure help in knowing the manner of distribution carried out by the population. Karl Pearson’s Coefficient of Skewness is repres
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4

Liu, Zhifeng, Tingting Zhang, and Fenghua Wen. "Time-Varying Risk Attitude and Conditional Skewness." Abstract and Applied Analysis 2014 (2014): 1–11. http://dx.doi.org/10.1155/2014/174848.

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Much literature finds that the skewness in the return distribution is negatively correlated with the risk premium coefficient, and speculation is the reason for the skewness in the return distribution. As further research, this paper, first taking up the time-varying property of the risk premium coefficient, proposes a GARCH-M model with a time-varying coefficient of the risk premium for an empirical study of the correlation between the conditional skewness in the return distribution and the time-varying risk attitude. The empirical study indicates that the coefficient of the risk premium vari
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5

Doai, Mariko, Hisao Tonami, Munetaka Matoba, et al. "Pituitary macroadenoma: Accuracy of apparent diffusion coefficient magnetic resonance imaging in grading tumor aggressiveness." Neuroradiology Journal 32, no. 2 (2019): 86–91. http://dx.doi.org/10.1177/1971400919825696.

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Purpose The purpose of this study is to evaluate the accuracy of apparent diffusion coefficient magnetic resonance imaging in grading tumor aggressiveness using histogram apparent diffusion coefficient values. Materials and methods Eighteen patients with surgically proved pituitary macroadenomas were included in this study. Diffusion-weighted imaging with single-shot echo-planar sequence at 3-T with a 32-channel head coil was performed with b values of 0 and 1000 s/mm2. Calculated apparent diffusion coefficient maps were generated, and a 3-D volume of interest was placed on the tumor while sup
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6

Krasilnikov, A. I. "Analysis of Cumulant Coefficients of Two-Component Mixtures of Shifted Non-Gaussian Distributions." Èlektronnoe modelirovanie 43, no. 5 (2021): 73–92. http://dx.doi.org/10.15407/emodel.43.05.073.

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The dependence of the cumulant coefficients of two-component mixtures of shifted non- Gaussian distributions on the weight coefficient is analyzed and conditions are determined under which the cumulant coefficients of any orders are equal to zero. The dependence of the cumulant coefficients of two-component mixtures on the shear parameter is investigated and the parameter values are determined at which the cumulant coefficients of any orders have extrema and zeros. The dependence of the skewness and excess kurtosis of a two-component mixture of shifted Gumbel distributions of type 1 on the wei
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Bendel, R. B., S. S. Higgins, J. E. Teberg, and D. A. Pyke. "Comparison of skewness coefficient, coefficient of variation, and Gini coefficient as inequality measures within populations." Oecologia 78, no. 3 (1989): 394–400. http://dx.doi.org/10.1007/bf00379115.

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8

Chen, Bo, and Qing Shan Yang. "Effects of Geometrical Factors on Wind Pressure Characteristics of Cylindrical Roofs with Wind Tunnel Tests." Applied Mechanics and Materials 351-352 (August 2013): 284–89. http://dx.doi.org/10.4028/www.scientific.net/amm.351-352.284.

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With wind tunnel tests, simultaneous pressure measurements are made on 4 cylindrical roof models with different rise-span ratios and roof inclinations. Effects of these geometrical factors on wind pressure characteristics of the roofs are investigated, including mean pressure coefficients, RMS pressure coefficients, skewness, kurtosis, and probability distributions of wind pressure. Results show that the mean vertical wind force coefficient of high rise-span ratio roof is larger than that of the low rise-span ration roof; the mean pressure coefficient distribution of the low rise-span ratio ro
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9

Wen, Fenghua, and Xiaoguang Yang. "Skewness of return distribution and coefficient of risk premium." Journal of Systems Science and Complexity 22, no. 3 (2009): 360–71. http://dx.doi.org/10.1007/s11424-009-9170-x.

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10

Zhou, Jing Jia, Kok Haur Ng, Kooi Huat Ng, Shelton Peiris, and You Beng Koh. "Asymmetric Control Limits for Weighted-Variance Mean Control Chart with Different Scale Estimators under Weibull Distributed Process." Mathematics 10, no. 22 (2022): 4380. http://dx.doi.org/10.3390/math10224380.

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Shewhart charts are the most commonly utilised control charts for process monitoring in industries with the assumption that the underlying distribution of the quality characteristic is normal. However, this assumption may not always hold true in practice. In this paper, the weighted-variance mean charts are developed and their population standard deviation is estimated using the three subgroup scale estimators, namely the standard deviation, median absolute deviation and standard deviation of trimmed mean for monitoring Weibull distributed data with different coefficients of skewness. This stu
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Ajith S, Master. "Almost Unbiased Ratio Cum Product Estimator for Finite Population Mean with Known Coefficient of Skewness." Journal of Advanced Research in Applied Mathematics and Statistics 2, no. 1&2 (2017): 1–9. http://dx.doi.org/10.24321/2455.7021.201701.

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12

Et. al., Mahdi Wahhab Neamah ,. "Statistical Properties & Different Methods Of Estimation Of A New Extended Weighted Frechet Distribution." Turkish Journal of Computer and Mathematics Education (TURCOMAT) 12, no. 6 (2021): 1011–29. http://dx.doi.org/10.17762/turcomat.v12i6.2414.

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In this paper, we introduce a new distribution is called the extended weighted Frechet distribution, which we obtain by applying the Azzalini method and deduced some statistical properties such as mean, variance, coefficients of variation, coefficient of skewness, and coefficient of kurtosis. The parameters of the new distribution were estimated by the following estimation methods: Maximum Likelihood Method (MLE) and percentile method. We used the Monte Carlo simulation to compare the performances of the proposed estimators obtained through methods of estimation.
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13

Gao, H., G. C. Barber, and M. Shillor. "Numerical Simulation of Engagement of a Wet Clutch With Skewed Surface Roughness." Journal of Tribology 124, no. 2 (2001): 305–12. http://dx.doi.org/10.1115/1.1402178.

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The engagement of a wet clutch with skewed surface roughness was investigated. A Weibull asperity height distribution rather than a Gaussian one was utilized in the asperity contact pressure model. The combined effects of surface roughness and skewness on the friction coefficient were studied for new, run-in and glazed wet friction materials. The results show that the engagement time predicted by the Weibull distribution is greater than that obtained using the Gaussian distribution. A torque spike at the beginning of engagement occurs using the Weibull distribution by taking the skewness into
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14

Kim, Seohyun, Zhenqiu Lu, and Allan S. Cohen. "Reliability for Tests With Items Having Different Numbers of Ordered Categories." Applied Psychological Measurement 44, no. 2 (2019): 137–49. http://dx.doi.org/10.1177/0146621619835498.

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This study describes a structural equation modeling (SEM) approach to reliability for tests with items having different numbers of ordered categories. A simulation study is provided to compare the performance of this reliability coefficient, coefficient alpha and population reliability for tests having items with different numbers of ordered categories, a one-factor and a bifactor structures, and different skewness distributions of test scores. Results indicated that the proposed reliability coefficient was close to the population reliability in most conditions. An empirical example was used t
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15

Yu,, Ning, Shaun R. Pergande, and, and Andreas A. Polycarpou. "Static Friction Model for Rough Surfaces With Asymmetric Distribution of Asperity Heights." Journal of Tribology 126, no. 3 (2004): 626–29. http://dx.doi.org/10.1115/1.1739406.

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The CEB static friction model is extended to include asymmetric distributions of asperity heights, using the normalized one-parameter Weibull distribution. The normal contact, tangential (friction), and adhesion forces are calculated for different skewness values, and are used to obtain the static friction coefficient. It is predicted that surfaces with negative skewness experience higher static friction coefficient compared to the Gaussian case, under the same external normal load, which agrees with published data. This effect is magnified for lower external loads, as is commonly encountered
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16

Magalhães, Tiago M., Diego I. Gallardo, and Héctor W. Gómez. "Skewness of Maximum Likelihood Estimators in the Weibull Censored Data." Symmetry 11, no. 11 (2019): 1351. http://dx.doi.org/10.3390/sym11111351.

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In this paper, we obtain a matrix formula of order n − 1 / 2 , where n is the sample size, for the skewness coefficient of the distribution of the maximum likelihood estimators in the Weibull censored data. The present result is a nice approach to verify if the assumption of the normality of the regression parameter distribution is satisfied. Also, the expression derived is simple, as one only has to define a few matrices. We conduct an extensive Monte Carlo study to illustrate the behavior of the skewness coefficient and we apply it in two real datasets.
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17

Bao, Yong. "FINITE-SAMPLE MOMENTS OF THE COEFFICIENT OF VARIATION." Econometric Theory 25, no. 1 (2009): 291–97. http://dx.doi.org/10.1017/s0266466608090555.

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We study the finite-sample bias and mean squared error, when properly defined, of the sample coefficient of variation under a general distribution. We employ a Nagar-type expansion and use moments of quadratic forms to derive the results. We find that the approximate bias depends on not only the skewness but also the kurtosis of the distribution, whereas the approximate mean squared error depends on the cumulants up to order 6.
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18

KORVIN, G. "THE KURTOSIS OF REFLECTION COEFFICIENTS IN A FRACTAL SEQUENCE OF SEDIMENTARY LAYERS." Fractals 01, no. 02 (1993): 263–68. http://dx.doi.org/10.1142/s0218348x93000277.

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In the reflection seismic technique of hydrocarbon prospecting, the measured signal is the convolution of an unknown sequence of reflection coefficients by a statistically known source signature. A basic task of seismic processing is to estimate the sequence of reflection coefficients. The aim of this paper is to show that in case of a fractal sedimentation model, the conventional statistical descriptors (variance, skewness, kurtosis) of the reflection coefficient sequence are strongly dependent on, or are even divergent functions of, the resolution.
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19

Akhtar, Adil, and Tazid Ali. "Analysis of Unweighted Amino Acids Network." International Scholarly Research Notices 2014 (December 16, 2014): 1–6. http://dx.doi.org/10.1155/2014/350276.

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The analysis of amino acids network is very important to studying the various physicochemical properties of amino acids. In this paper we consider the amino acid network based on mutation of the codons. To analyze the relative importance of the amino acids we have discussed different measures of centrality. The measure of centrality is a powerful tool of graph theory for ranking the vertices and analysis of biological network. We have also investigated the correlation coefficients between various measures of centrality. Also we have discussed clustering coefficient as well as average clusterin
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20

Krasilnikov, A. I. "Modeling of Two-component Mixtures of Shifted Distributions with Zero Cumulant Coefficients." Èlektronnoe modelirovanie 46, no. 4 (2024): 19–38. http://dx.doi.org/10.15407/emodel.46.04.019.

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For two-component mixtures of shifted distributions a general formula for finding the value of the shift parameter , at which the cumulant coefficients of any order are equal to zero, is obtained. An algorithm for mathematical and computer modeling of two-component mixtures of shifted distributions with zero cumulant coefficients is formulated. General formulas for two-component mixtures of shifted gamma-distributions with zero cumu-lant coefficients of any order are obtained and examples of mixtures with zero skewness and kurtosis coefficients are given. General formulas of two-component mixt
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21

Pallard, B., A. Castellarin, and A. Montanari. "A look at the links between drainage density and flood statistics." Hydrology and Earth System Sciences 13, no. 7 (2009): 1019–29. http://dx.doi.org/10.5194/hess-13-1019-2009.

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Abstract. We investigate the links between the drainage density of a river basin and selected flood statistics, namely, mean, standard deviation, coefficient of variation and coefficient of skewness of annual maximum series of peak flows. The investigation is carried out through a three-stage analysis. First, a numerical simulation is performed by using a spatially distributed hydrological model in order to highlight how flood statistics change with varying drainage density. Second, a conceptual hydrological model is used in order to analytically derive the dependence of flood statistics on dr
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22

Zhang, Zanxia, Chengru Song, Yong Zhang, Baohong Wen, Jinxia Zhu, and Jingliang Cheng. "Apparent diffusion coefficient (ADC) histogram analysis: differentiation of benign from malignant parotid gland tumors using readout-segmented diffusion-weighted imaging." Dentomaxillofacial Radiology 48, no. 7 (2019): 20190100. http://dx.doi.org/10.1259/dmfr.20190100.

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Objectives To explore the utility of whole-lesion apparent diffusion coefficient (ADC) histogram analysis for differentiating parotid gland tumors following readout-segmented diffusion-weighted imaging (RESOLVE). Methods 80 patients (40 with pleomorphic adenomas, 14 with Warthin tumors, and 26 with malignant parotid gland tumors) who underwent routine head-and-neck MRI and RESOLVE examinations, were retrospectively evaluated. RESOLVE data were acquired from a MAGNETOM Skyra 3T MR system. Eleven whole-lesion histogram parameters derived from histogram analysis (ADC_mean, ADC_minimum, ADC_maximu
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23

Hörberg, Lisa, Daniel Roth, Peter Leander, et al. "Reproducibility of measurements with a semi-automatic software package for the evaluation of rectal cancer." Acta Radiologica 61, no. 5 (2019): 586–94. http://dx.doi.org/10.1177/0284185119873118.

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Background Staging of rectal cancer with MRI has major impact on treatment choice and may be of importance in new cancer management strategies such as “wait-and-see” policy. Purpose To assess the reproducibility of a software package recently developed at our department to measure volumes, apparent diffusion coefficient, and the skewness of apparent diffusion coefficient in lymph nodes and tumors in rectal cancer patients before and after chemoradiation treatment. Material and Methods This study included 20 consecutive patients with biopsy-verified rectal cancer, in whom MRI staging had been p
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Singh, Housila P., Ramkrishna S. Solanki, and Sarjinder Singh. "Estimation of Bowley's Coefficient of Skewness in the Presence of Auxiliary Information." Communications in Statistics - Theory and Methods 43, no. 22 (2014): 4867–80. http://dx.doi.org/10.1080/03610926.2012.729644.

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25

Masum, Habib, Surajit Chattopadhyay, Subhasis Bhaumik, and Ranjit Ray. "Utilisation of skewness of wavelet-based approximate coefficient in walking speed assessment." IET Science, Measurement & Technology 10, no. 8 (2016): 977–82. http://dx.doi.org/10.1049/iet-smt.2016.0263.

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26

Guo, Yong-Feng, Fang Wei, Lin-Jie Wang, and Jian-Guo Tan. "Noise-induced transition in an underdamped asymmetric bistable system driven by Lévy noise." International Journal of Modern Physics B 32, no. 28 (2018): 1850313. http://dx.doi.org/10.1142/s0217979218503137.

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In this paper, the Lévy noise-induced transition in an underdamped asymmetric bistable system is discussed. Lévy noise is generated through the Janicki–Weron algorithm and the numerical solutions of system equation is obtained by the fourth-order Runge–Kutta method. Then the stationary probability density functions are obtained by solving the equation of system. The influence of the damped coefficient [Formula: see text], asymmetric parameter r of system, stability index [Formula: see text], skewness parameters [Formula: see text] and noise intensity D on the stationary probability density are
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Kuwata, Y., and Y. Kawaguchi. "Direct numerical simulation of turbulence over systematically varied irregular rough surfaces." Journal of Fluid Mechanics 862 (January 25, 2019): 781–815. http://dx.doi.org/10.1017/jfm.2018.953.

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Lattice Boltzmann direct numerical simulation of turbulent open-channel flows over randomly distributed hemispheres at $Re_{\unicode[STIX]{x1D70F}}=600$ is carried out to reveal the influence of roughness parameters related to a probability density function of rough-surface elevation on turbulence by analysing the spatial and Reynolds- (double-) averaged Navier–Stokes equation. This study specifically concentrates on the influence of the root-mean-square roughness and the skewness, and profiles of turbulence statistics are compared by introducing an effective wall-normal distance defined as a
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Moothathu, T. S. K. "On The Best Estimators of Coefficients of Variation, skewness and Kurtosis of Pareto Distribution and Their Variances." Calcutta Statistical Association Bulletin 37, no. 1-2 (1988): 29–40. http://dx.doi.org/10.1177/0008068319880103.

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Here we develop the uniformly minimum variance unbiased (best) estimators of coefficient of variation, Pearson's coefficients of skewness and kurtosis of two-parameter Pareto distribution, the variance of these best estimators and the best estimators of those variances. The best estimators are in terms of Kummer's function 1 F1 and Humbert's function ø2 ; and their variances are in terms of F2 , the Appel function of second kind and K 12 , a quadruple hypergeornetric function invented by Exton during the early 1970's.
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Meer, David J., and Eric R. Weeks. "Bounded distributions place limits on skewness and larger moments." PLOS ONE 19, no. 2 (2024): e0297862. http://dx.doi.org/10.1371/journal.pone.0297862.

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Distributions of strictly positive numbers are common and can be characterized by standard statistical measures such as mean, standard deviation, and skewness. We demonstrate that for these distributions the skewness D3 is bounded from below by a function of the coefficient of variation (CoV) δ as D3 > δ − 1/δ. The results are extended to any distribution that is bounded with minimum value xmin and/or bounded with maximum value xmax. We build on the results to provide bounds for kurtosis D4, and conjecture analogous bounds exists for higher statistical moments.
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Brito, Rui Pedro, Helder Sebastião, and Pedro Godinho. "On the Gains of Using High Frequency Data in Portfolio Selection." Scientific Annals of Economics and Business 65, no. 4 (2018): 365–83. http://dx.doi.org/10.2478/saeb-2018-0030.

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Abstract This paper analyzes empirically the performance gains of using high frequency data in portfolio selection. Assuming Constant Relative Risk Aversion (CRRA) preferences, with different relative risk aversion levels, we compare low and high frequency portfolios within mean-variance, mean-variance-skewness and mean-variance-skewness-kurtosis frameworks. Using data on fourteen stocks of the Euronext Paris, from January 1999 to December 2005, we conclude that the high frequency portfolios outperform the low frequency portfolios for every out-of-sample measure, irrespectively to the relative
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31

Yang, Yanyun, and Samuel B. Green. "Evaluation of Structural Equation Modeling Estimates of Reliability for Scales with Ordered Categorical Items." Methodology 11, no. 1 (2015): 23–34. http://dx.doi.org/10.1027/1614-2241/a000087.

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Different methods are reviewed for estimating reliability based on a single administration of a test consisting of ordered categorical items. The nonlinear SEM reliability coefficient appears more flexible than other methods because it is designed to assess the reliability of summed scores for ordered categorical items through the modeling of the item relationships. However, this method assumes that the variables underlying the ordered categorical items are normally distributed. We evaluated nonlinear and linear SEM reliability coefficients using a Monte Carlo study by manipulating factor stru
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32

Pallard, B., A. Castellarin, and A. Montanari. "A look at the links between drainage density and flood statistics." Hydrology and Earth System Sciences Discussions 5, no. 5 (2008): 2899–926. http://dx.doi.org/10.5194/hessd-5-2899-2008.

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Abstract. We investigate the links between the drainage density of a river basin and selected flood statistics, namely the mean, standard deviation, coefficient of variation and coefficient of skewness of annual maximum series of peak flows. The investigation is carried out through a three-stage analysis. First, a numerical simulation is performed by using a spatially distributed hydrological model in order to highlight how flood statistics change with varying drainage density. Second, a conceptual hydrological model is used in order to analytically derive the dependence of flood statistics on
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33

Gritsenko, Victoria. "Statistical characteristics and correlations of morphometric traits of Asparagus officinalis L. fruits in the M.M. Gryshko National Botanical Garden of the NAS of Ukraine." Plant Introduction 101-102 (July 16, 2024): 44–56. http://dx.doi.org/10.46341/pi2024003.

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The current research was conducted in 2020–2023 on the botanical-geographical plot “Steppes of Ukraine” at the M.M. Gryshko National Botanical Garden of the NAS of Ukraine and was focused on ripe fruits of Asparagus officinalis. This study aimed to find out the main statistical characteristics of morphometric traits of A. officinalis fruits: fruit diameter, number of locules per fruit, number of seeds per fruit, number of seeds per locule, and to confirm or deny the hypothesis of positive pairwise correlations of the first three traits. Eighteen combinations of four morphometric traits were fo
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Gioia, A., V. Iacobellis, S. Manfreda, and M. Fiorentino. "Influence of soil parameters on the skewness coefficient of the annual maximum flood peaks." Hydrology and Earth System Sciences Discussions 8, no. 3 (2011): 5559–604. http://dx.doi.org/10.5194/hessd-8-5559-2011.

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Abstract. Understanding the spatial variability of key parameters of flood probability distributions represents a strategy to provide insights on hydrologic similarity and building probabilistic models able to reduce the uncertainty in flood prediction in ungauged basins. In this work, we exploited the theoretically derived distribution of floods TCIF (Gioia et al., 2008), based on two different threshold mechanisms associated respectively to ordinary and extraordinary events. The model is based on the hypotheses that ordinary floods are generally due to rainfall events exceeding a threshold i
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Contreras-Reyes, Javier E. "Information–Theoretic Aspects of Location Parameter Estimation under Skew–Normal Settings." Entropy 24, no. 3 (2022): 399. http://dx.doi.org/10.3390/e24030399.

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In several applications, the assumption of normality is often violated in data with some level of skewness, so skewness affects the mean’s estimation. The class of skew–normal distributions is considered, given their flexibility for modeling data with asymmetry parameter. In this paper, we considered two location parameter (μ) estimation methods in the skew–normal setting, where the coefficient of variation and the skewness parameter are known. Specifically, the least square estimator (LSE) and the best unbiased estimator (BUE) for μ are considered. The properties for BUE (which dominates LSE)
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Priyadarshani, Hewa A., and Broderick O. Oluyede. "THEORETICAL PROPERTIES OF THE WEIGHTED GENERALIZED GAMMA AND RELATED DISTRIBUTIONS." Probability in the Engineering and Informational Sciences 29, no. 3 (2015): 421–32. http://dx.doi.org/10.1017/s0269964815000078.

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A new class of weighted generalized gamma distribution (WGGD) and related distributions are presented. Theoretical properties of the generalized gamma model, WGGD including the hazard function, reverse hazard function, moments, coefficient of variation, coefficient of skewness, coefficient of kurtosis, and entropy measures are derived. The results presented here generalizes the generalized gamma distribution and includes several distributions as special cases. The special cases include generalized gamma, weighted gamma, weighted exponential, weighted Weibull, weighted Rayleigh distributions, a
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Klawonn, Frank, Georg Hoffmann, and Matthias Orth. "Quantitative laboratory results: normal or lognormal distribution?" Journal of Laboratory Medicine 44, no. 3 (2020): 143–50. http://dx.doi.org/10.1515/labmed-2020-0005.

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Abstract The identification of a suitable distribution model is a prerequisite for the parametric estimation of reference intervals and other statistical laboratory tasks. Classification of normal vs. lognormal distributions from healthy populations is easy, but from mixed populations, containing unknown proportions of abnormal results, it is challenging. We demonstrate that Bowley’s skewness coefficient differentiates between normal and lognormal distributions. This classifier is robust and easy to calculate from the quartiles Q1–Q3 according to the formula (Q1 − 2 · Q2 + Q3)/(Q3 − Q1). We va
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38

Kunimatsu, Natsuko, Akira Kunimatsu, Yoshihiro Uchida, Ichiro Mori, and Shigeru Kiryu. "Whole-lesion histogram analysis of apparent diffusion coefficient for the assessment of non-mass enhancement lesions on breast MRI." Journal of Clinical Imaging Science 12 (March 23, 2022): 12. http://dx.doi.org/10.25259/jcis_201_2021.

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Objectives To investigate the application of apparent diffusion coefficient (ADC) histogram analysis in differentiating between benign and malignant breast lesions detected as non-mass enhancement on MRI. Materials and Methods A retrospective study was conducted for 25 malignant and 26 benign breast lesions showing non-mass enhancement on breast MRI. An experienced radiologist without prior knowledge of the pathological results drew a region of interest (ROI) outlining the periphery of each lesion on the ADC map. A histogram was then made for each lesion. Following a univariate analysis of 18
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Bono, Roser, Jaume Arnau, Rafael Alarcón, and Maria J. Blanca. "Bias, Precision, and Accuracy of Skewness and Kurtosis Estimators for Frequently Used Continuous Distributions." Symmetry 12, no. 1 (2019): 19. http://dx.doi.org/10.3390/sym12010019.

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Several measures of skewness and kurtosis were proposed by Hogg (1974) in order to reduce the bias of conventional estimators when the distribution is non-normal. Here we conducted a Monte Carlo simulation study to compare the performance of conventional and Hogg’s estimators, considering the most frequent continuous distributions used in health, education, and social sciences (gamma, lognormal and exponential distributions). In order to determine the bias, precision and accuracy of the skewness and kurtosis estimators for each distribution we calculated the relative bias, the coefficient of v
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Rulseh, Aaron Michael, and Josef Vymazal. "Whole brain apparent diffusion coefficient measurements correlate with survival in glioblastoma patients." Journal of Neuro-Oncology 146, no. 1 (2019): 157–62. http://dx.doi.org/10.1007/s11060-019-03357-y.

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Abstract Introduction Glioblastoma (GBM) is the most common malignant primary brain tumor, and methods to improve the early detection of disease progression and evaluate treatment response are highly desirable. We therefore explored changes in whole-brain apparent diffusion coefficient (ADC) values with respect to survival (progression-free [PFS], overall [OS]) in a cohort of GBM patients followed at regular intervals until disease progression. Methods A total of 43 subjects met inclusion criteria and were analyzed retrospectively. Histogram data were extracted from standardized whole-brain AD
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Khan, Muhammad Shuaib, Robert King, and Irene L. Hudson. "Transmuted Modified Weibull distribution: Properties and Application." European Journal of Pure and Applied Mathematics 11, no. 2 (2018): 362–74. http://dx.doi.org/10.29020/nybg.ejpam.v11i2.3208.

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This research investigates the potential usefulness of the transmutedmodified Weibull distribution for modelling lifetime data. Weattain the diagnostic shapes of the density and hazard functions. Weformulate the expressions for the moments,incomplete moments, Renyientropy and q- entropy. We estimate the mean, variance, coefficientof variation, coefficient of skewness and coefficient of kurtosis basedon moment approach. The method of maximum likelihood is used forestimating the model parameters. We illustrate the use of transmutedmodified Weibull distribution with an application to survival dat
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Habeb, Ayat, та Abas Lafta. "توزيع رايلي باريتو , الخصائص والتقدير". Al Kut Journal of Economics and Administrative Sciences 15, № 49 (2023): 1–14. http://dx.doi.org/10.29124/kjeas.1549.1.

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Abstract In this paper , the Rayleigh-Pareto distribution was presented, which is an expansion of the Rayleigh distribution. Many statistical properties were studied, such as moments, mean, variance, median, skewness coefficient, kurtosis coefficient. In addition, the parameters of the new distribution were estimated using maximum likelihood method . Simulation experiment showed the efficiency of maximum likelihood method . Among the most important conclusions was the efficiency of the maximum likelihood method in estimating the parameters of the new distribution .
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Maulenov, A. O. "Application of descriptive statistics methods to Kazakhstan stock market." Bulletin of "Turan" University, no. 3 (October 4, 2023): 141–52. http://dx.doi.org/10.46914/1562-2959-2023-1-3-141-152.

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The article discusses the methods of descriptive statistics and its application for the most liquid shares of the Kazakhstan stock market KASE (trading codes: HSBK, KZTK, CCBN, KZTO, KCEL, KEGC, KZKAK) from 2007 to 2022. Descriptive statistics are calculated for each stock, such as average return, variance, sample range, standard deviation, coefficient of variation, kurtosis, and skewness. The coefficients of the regression equation and the coefficient of determination R2 are estimated, which show the relationship between the market return and the return on an individual stock. The comparative
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Li, Mingjie, Xiaomin Zhang, Yuxuan Bao, et al. "The Influence of Roof Opening and Closure on the Overall Wind Pressure Distribution of Airport Terminal Roof." Buildings 15, no. 5 (2025): 735. https://doi.org/10.3390/buildings15050735.

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This article investigates the effects of roof opening and closure conditions on the mean and fluctuating wind pressure coefficient of the roof surface through rigid model wind tunnel tests and further explores the non-Gaussian characteristics of wind pressure (skewness, kurtosis, and wind pressure probability density) under the two conditions. Then, based on the non-Gaussian characteristics under two working conditions, this paper constructs a Hermite moment model to solve the peak factor of the roof surface to evaluate the impact of roof opening and closure on the most unfavorable extreme win
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Fatichi, S., V. Yu Ivanov, and E. Caporali. "Investigating Interannual Variability of Precipitation at the Global Scale: Is There a Connection with Seasonality?" Journal of Climate 25, no. 16 (2012): 5512–23. http://dx.doi.org/10.1175/jcli-d-11-00356.1.

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Abstract Interannual variability of precipitation can directly or indirectly affect many hydrological, ecological, and biogeochemical processes that, in turn, influence climate. Despite the significant importance of the phenomenon, few studies have attempted to elucidate spatial patterns of this variability at the global scale. This study uses land gauge precipitation records of the Global Historical Climatology Network, version 2, as well as reanalysis data to provide an assessment of the spatial organization of characteristics of precipitation interannual variability. The coefficient of vari
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Periwal, Vipul, and Carson C. Chow. "Patterns in food intake correlate with body mass index." American Journal of Physiology-Endocrinology and Metabolism 291, no. 5 (2006): E929—E936. http://dx.doi.org/10.1152/ajpendo.00122.2006.

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Quantifying eating behavior may give clues to both the physiological and behavioral mechanisms behind weight regulation. We analyzed year-long dietary records of 29 stable-weight subjects. The records showed wide daily variations of food intake. We computed the temporal autocorrelation and skewness of food intake mass, energy, carbohydrate, fat, and protein. We also computed the cross-correlation coefficient between intake mass and intake energy. The mass of the food intake exhibited long-term trends that were positively skewed, with wide variability among individuals. The average duration of
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ija, Sr, and Jaya lakshmi. "Ratio Cum Median Based Modified Ratio Estimators with Known Skewness, and Coefficient of Variation." International Journal of Mathematics Trends and Technology 55, no. 5 (2018): 322–30. http://dx.doi.org/10.14445/22315373/ijmtt-v55p543.

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Lopez-Rueda, Antonio, Josep Puig, Santiago Thió-Henestrosa, et al. "Texture Analysis of the Apparent Diffusion Coefficient Focused on Contrast-Enhancing Lesions in Predicting Survival for Bevacizumab-Treated Patients with Recurrent Glioblastoma." Cancers 15, no. 11 (2023): 3026. http://dx.doi.org/10.3390/cancers15113026.

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Purpose: Glioblastoma often recurs after treatment. Bevacizumab increases progression-free survival in some patients with recurrent glioblastoma. Identifying pretreatment predictors of survival can help clinical decision making. Magnetic resonance texture analysis (MRTA) quantifies macroscopic tissue heterogeneity indirectly linked to microscopic tissue properties. We investigated the usefulness of MRTA in predicting survival in patients with recurrent glioblastoma treated with bevacizumab. Methods: We evaluated retrospective longitudinal data from 33 patients (20 men; mean age 56 ± 13 years)
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Ogunmola, Adeniyi Oyewole, and Olateju Alao Bamigbala. "A Poisson Quasi Suja Distribution." Mikailalsys Journal of Advanced Engineering International 2, no. 2 (2025): 193–200. https://doi.org/10.58578/mjaei.v2i2.5398.

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Two-parameter Poisson Quasi Suja distribution (PQSD) derived from the two-parameter quasi suja distribution is proposed for extremely positively count data. Its survival and hazard functions, first four raw moments’ measures were expressed. The variance, coefficient of variation, index of dispersion, skewness and kurtosis were also obtained. The impacts of each parameter in the new distribution were assessed.
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Cho, Hong-Yeon, Tae-Seob Jeong, and Gi-Seop Lee. "Density Estimation of the Wave Steepness Using the KMA Buoy Data." Journal of Korean Society of Coastal and Ocean Engineers 37, no. 2 (2025): 25–37. https://doi.org/10.9765/kscoe.2025.37.2.25.

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The Korean coast’s wave steepness (or slope) distribution function was estimated and analyzed using KMA ocean buoy data. The distribution was estimated using the Gaussian mixture distribution function that can reflect multiple peaks and inflection patterns, and the parameter estimation was performed using the maximum likelihood-based EM algorithm. The final estimated distribution shape, when judged based on the skewness coefficient, showed a distribution form skewed to the right in all cases except for the Seogwipo (St. 14) station, and it was determined that a distribution consisting of 2~3 m
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