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On bivariate ageing properties of exchangeable Farlie–Gumbel–Morgenstern distributions
Communications in Statistics - Theory and Methods, 2017ABSTRACTThis 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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Modifications of the Farlie-Gumbel-Morgenstern distributions. A tough hill to climb
Metrika, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huang, J. S., Kotz, Samuel
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A Note on the Exchangeable Generalized Farlie-Gumbel-Morgenstern Distributions
Communications in Statistics - Simulation and Computation, 1975In 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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New generalized Farlie-Gumbel-Morgenstern distributions and concomitants of order statistics
Journal of Applied Statistics, 2001We 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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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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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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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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Test of Independence in the Farlie–Gumbel–Morgenstern Distribution
Communications in Statistics - Theory and Methods, 2003Abstract 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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Max-Sum local equivalence of random variables with Farlie-Gumbel-Morgenstern joint distribution
SCIENTIA SINICA Mathematica, 2016设 n 个随机变量服从Farlie-Gumbel-Morgenstern 联合分布, 本文分别研究它们的和与最大值的局部渐近性. 进而, 在这些随机变量服从局部次指数分布的条件下, 得到Max-Sum 局部等价式. 该等价式从局部和相依的角度刻画了随机游动的一个大跳原理.
Hui XU, Tao JIANG
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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 +4 more
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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 +4 more
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Reliability characteristics of Farlie–Gumbel–Morgenstern family of bivariate distributions
Communications in Statistics - Theory and Methods, 2015AbstractIn 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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