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On the construction of bivariate linear exponential distribution with FGM family

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TLDR
In this paper, a Farlie-Gumbel-Morgenstern (FGM) family of bivariate linear exponential distributions generated from given marginal's is proposed, where properties of FGM are analogous to properties of Bivariate distributions.
Abstract
In this paper we propose a Farlie-Gumbel-Morgenstern (FGM) family of bivariate linear exponential distributions generated from given marginal's. Therefore, properties of FGM are analogous to properties of bivariate distributions. We study some important statistical properties and results for the new distribution.

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References
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Journal ArticleDOI

Multivariate models and dependence concepts

Harry Joe
- 01 Sep 1998 - 
TL;DR: Introduction.
Journal ArticleDOI

A model for association in bivariate life tables and its application in epidemiological studies of familial tendency in chronic disease incidence

TL;DR: In this article, a related model for association in bivariate survivorship time distributions is proposed for the analysis of familial tendency in disease incidence, which is related to more specifically epidemiological models.
Journal ArticleDOI

Bivariate survival models induced by frailties

TL;DR: In this article, the authors consider the class of bivariate survival distributions that can arise in this way, and show that the observable bivariate distribution determines the unobserved frailty distribution up to a scale parameter.
Book

Correlation and dependence

TL;DR: Notations and definitions correlation and dependence - an introspection concepts of dependence and stochastic ordering copulas Farlie-Gumbel-Morgenstern models of dependence global versus local dependence between random variables.
Journal ArticleDOI

On some generalized farlie-gumbel-morgenstern distributions

TL;DR: In this paper, a multivariate generalization of the farlie-Gumbel-Morgenstern bivariate system of distribution is described, and properties of orthant dependence are investigated.