Results 131 to 140 of about 192 (166)

On bivariate ageing properties of exchangeable Farlie–Gumbel–Morgenstern distributions

Communications in Statistics - Theory and Methods, 2017
ABSTRACTThis paper deals with bivariate Farlie–Gumbel–Morgenstern distributions. We build the TP2 (RR2) property of the residual lifetime and study the evolution of the dependence of the residual l...
Rongfang Yan, Yinping You, Xiaohu Li
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A Note on the Exchangeable Generalized Farlie-Gumbel-Morgenstern Distributions

Communications in Statistics - Simulation and Computation, 1975
In this note we find a necessary condition and a sufficient condition for a multivariate Farlie-Gumbel-Morgenstern (FGM) distribution to be positively dependent in a sense of Dykstra et al. (1973), Sidak (1973) and Shaked (197S). Applications of the results to problems in the theory of 8ayesian survey sampling and in reliability theory are discussed.
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ESTIMATION OF A PARAMETER OF FARLIE-GUMBEL-MORGENSTERN BIVARIATE BILAL DISTRIBUTION BY RANKED SET SAMPLING

2023
A bivariate version of the Bilal distribution has been proposed in the literature, called the Farlie-Gumbel-Morgenstern bivariate Bilal (FGMBB) distribution. In this article, we have dealt with the problem of estimation of the scale parameter associated with the study variable Z of primary interest, based on the ranked set sample defined by ordering ...
M.R. Irshad, R. Maya , A.I. Al-Omari , Hanandeh, Ahmad A., S.P. Arun   +4 more
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On concomitants of dual generalized order statistics from Bairamov–Kotz–Becki Farlie–Gumbel–Morgenstern bivariate distributions

Asian-European Journal of Mathematics, 2021
In this paper, we study the concomitants of [Formula: see text]-dual generalized order statistics ([Formula: see text]-DGOS) from Bairamov–Kotz–Becki Farlie–Gumbel–Morgenstern bivariate distributions as an extension of several recent papers. This study can also be applied to the model of [Formula: see text]-generalized order statistics ([Formula: see ...
M. A. Alawady, H. M. Barakat, Shengwu Xiong, M. A. Abd Elgawad   +3 more
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Test of Independence in the Farlie–Gumbel–Morgenstern Distribution

Communications in Statistics - Theory and Methods, 2003
Abstract We consider the hypotheses; H 0: θ = 0 vs. where θ is the dependence parameter of the Farlie–Gumbel–Morgenstren distribution and η ∈ (0,1]. A test, which maximizes the minimum power over the alternative hypothesis, is given for these hypotheses. The power function of this test is monotone increasing over the alternative hypothesis. Furthermore,
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New generalized Farlie-Gumbel-Morgenstern distributions and concomitants of order statistics

Journal of Applied Statistics, 2001
We consider a generalization of the bivariate Farlie-Gumbel-Morgenstern (FGM) distribution by introducing additional parameters. For the generalized FGM distribution, the admissible range of the association parameter allowing positive quadrant dependence property is shown.
I. Bairamov, S. Kotz, M. Bekçi
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Relationships between two extensions of Farlie-Gumbel-Morgenstern distribution

Annals of the Institute of Statistical Mathematics, 1987
\textit{N. L. Johnson} and \textit{S. Kotz}, Commun. Stat., Theory Methods A6, 485-496 (1977; Zbl 0382.62040) introduced the (k-1)-iteration Farlie- Gumbel-Morgenstern (FGM) distribution \[ H_{1k}=FG+\sum^{k}_{j=1}\alpha_{1j}(FG)^{[j/2]+1}(\bar F\bar G)^{[(j+1)/2]} \] where F and G are the marginal distributions. \textit{J. S.
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On some generalized farlie-gumbel-morgenstern distributions-II regression, correlation and further generalizations

Communications in Statistics - Theory and Methods, 1977
Regression and correlation properties of the generalized Farlie-Gumbel-Morgenstem distributions introduced in Johnson and Kotz (1975) are studied. Further generalizations of these distributions are considered.
N. L. Johnson, S. Kotz
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Measures of information in order statistics and their concomitants for the single iterated Farlie–Gumbel–Morgenstern bivariate distribution

Mathematical Population Studies, 2020
The Fisher information matrix related to an order statistic and its concomitant used to order a bivariate random sample are obtained in the case of the shape-parameter vector of an iterated Farlie–...
Haroon M. Barakat, El-Sayed M. Nigm, Islam A. Husseiny   +2 more
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Reliability characteristics of Farlie–Gumbel–Morgenstern family of bivariate distributions

Communications in Statistics - Theory and Methods, 2015
AbstractIn this paper, we study the Farlie–Gumbel–Morgenstern family of bivariate distributions from a reliability point of view. The properties of this family of distributions and the association between the two variables are investigated by studying the local dependence function and the association measure defined by Clayton (1978). We also study the
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