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Information Measures for Generalized Order Statistics and Their Concomitants under General Framework from Huang-Kotz FGM Bivariate Distribution [PDF]

Entropy, 2021
In this paper, we study the concomitants of dual generalized order statistics (and consequently generalized order statistics) when the parameters γ1,…,γn are assumed to be pairwise different from Huang–Kotz Farlie–Gumble–Morgenstern bivariate ...
Mohamed A. Abd Elgawad, Haroon M. Barakat, Shengwu Xiong, Salem A. Alyami   +3 more
doaj   +3 more sources

Bootstrapping m-generalized order statistics with variable rank

AIMS Mathematics, 2022
In this paper, several bootstrap properties of m-generalized order statistics (m-GOSs) with variable rank (central and intermediate) are revealed.
H. M. Barakat, Magdy E. El-Adll, M. E. Sobh   +2 more
doaj   +2 more sources

Estimation of the Parameters of Burr Type III Distribution Based on Dual Generalized Order Statistics [PDF]

The Scientific World Journal, 2014
The estimation of the parameters of Burr type III distribution based on dual generalized order statistics is considered by using the maximum likelihood (ML) approach as well as the Bayesian approach.
Chansoo Kim, Woosuk Kim
doaj   +2 more sources

Concomitants of Order Statistics from a Bivariate Generalized Linear Exponential Distribution: Theory and Practice [PDF]

Entropy
This paper investigates the concomitants of order statistics from the bivariate generalized linear exponential (BGLE) distribution. We obtain the probability density function of a single concomitant and the joint probability density function of two ...
Areej M. AL-Zayd
doaj   +2 more sources

Characterizations of a Class of Distributions by Dual Generalized Order Statistics and Truncated Moments [PDF]

Journal of Statistical Theory and Applications (JSTA), 2014
The problem of characterizing a distribution is an important problem which has recently attracted the attention of many researchers. Thus, various characterizations have been established in many different directions.
Filippo Domma, G.G. Hamedani
doaj   +4 more sources

Generalized Order Statistics [PDF]

, 1995
Several models of ordered random variables are discussed in Section 1. In the distribution theoretical sense, these structures are included in the model of generalized order statistics which we introduce next. Section 3 contains the basic distribution theory of generalized order statistics.
Mohammad Ahsanullah, Valery Nevzorov, Mohammad Shakil   +2 more
  +4 more sources

Kernel Inference on the Generalized Gamma Distribution Based on Generalized Order Statistics [PDF]

Journal of Statistical Theory and Applications (JSTA), 2013
The kernel approach has been applied using the adaptive kernel density estimation, to inference on the generalized gamma distribution parameters, based on the generalized order statistics (GOS). For measuring the performance of this approach comparing to
M. Ahsanullah, M. Maswadah, Ali M. Seham
doaj   +1 more source

Bayesian Inference on the Generalized Gamma Distribution Based on Generalized Order Statistics [PDF]

Journal of Statistical Theory and Applications (JSTA), 2013
In this paper, the confidence intervals for the generalized gamma distribution parameters are derived based on the Bayesian approach using the informative and non-informative priors and the classical approach, via the Asymptotic Maximum likelihood ...
M. Maswadah, Ali M. Seham, M. Ahsanullah
doaj   +1 more source

Characterizations of probability distributions via bivariate regression of generalized order statistics [PDF]

Journal of Statistical Theory and Applications (JSTA), 2013
Let Xi,n,m,k, i = 1, ...,n are n generalized order statistics (gos) based on an absolutely continuous distribution function F. Suppose that ?
M.S. Kotb, M. Ahsanullah
doaj   +1 more source

Concomitants of Dual Generalized Order Statistics from Morgenstern Type Bivariate Generalized Exponential Distribution [PDF]

Journal of Statistical Theory and Applications (JSTA), 2015
[9] introduced the concept of dual generalized order statistics (dgos) that enables a common approach to descending ordered random variables like reversed order statistics and lower record values.
Saeid Tahmasebi, Ali Akbar Jafari, Mahmoud Afshari   +2 more
doaj   +1 more source