Generalized Marshall-Olkin distributions and related bivariate aging properties

Authors:
Xiaohu Li;Franco Pellerey
Affiliations:
School of Mathematical Science, Xiamen University, Xiamen 361005, China;Dipartimento di Matematica, Politecnico di Torino, C.so Duca degli Abruzzi, 24, I-10129 Torino, Italy
Venue:
Journal of Multivariate Analysis
Year:
2011

Citing 4
Cited 1

STOCHASTIC COMPARISONS ON RESIDUAL LIFE AND INACTIVITY TIME OF SERIES AND PARALLEL SYSTEMS

Probability in the Engineering and Informational Sciences
Stochastic Ageing and Dependence for Reliability

Stochastic Ageing and Dependence for Reliability
Study of some measures of dependence between order statistics and systems

Journal of Multivariate Analysis
An Introduction to Copulas

An Introduction to Copulas

Statistical analysis of bivariate failure time data with Marshall-Olkin Weibull models

Computational Statistics & Data Analysis

Quantified Score

Hi-index	0.00

Visualization

Abstract

A class of generalized bivariate Marshall-Olkin distributions, which includes as special cases the Marshall-Olkin bivariate exponential distribution and the Marshall-Olkin type distribution due to Muliere and Scarsini (1987) [19] are examined in this paper. Stochastic comparison results are derived, and bivariate aging properties, together with properties related to evolution of dependence along time, are investigated for this class of distributions. Extensions of results previously presented in the literature are provided as well.