The stability of a characterization of the bivariate Marshall-Olkin distribution

DOI10.1016/0022-247X(91)90326-UzbMath0751.62024MaRDI QIDQ1192553

Laurence A. Baxter, Svetlozar T. Rachev

Publication date: 27 September 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

momentshazard ratespartial derivativesuniform distanceLévy distancestability of characterizationbivariate Marshall-Olkin distributionsurvivor functionsunivariate NBU distributionsweakly bivariate NBU distributions

Mathematics Subject Classification ID

Characterization and structure theory for multivariate probability distributions; copulas (62H05) Characterization and structure theory of statistical distributions (62E10) Reliability and life testing (62N05)

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A bivariate inverse generalized exponential distribution and its applications in dependent competing risks model ⋮ The problem of stability in queueing theory ⋮ Marshall and Olkin's distributions ⋮ Recent developments about Marshall-Olkin bivariate distribution

Cites Work

• Exponential approximations for two classes of aging distributions
• Approximating IMRL distributions by exponential distributions, with applications to first passage times
• Characterizations of probability distributions. A unified approach with an emphasis on exponential and related models
• A Multivariate Exponential Distribution
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