Some new constructions of bivariate Weibull models

DOI10.1007/BF00049307zbMath0712.62094OpenAlexW2048298517MaRDI QIDQ749137

Gouri K. Bhattacharyya, Jye-Chyi Lu

Publication date: 1990

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00049307

zbMATH Keywords

momentstwo-component systemdependence structurequadrant dependencebivariate exponentialconstruction of bivariate Weibull modelsfailure behaviorsgeneral method of construction of bivariate life modelsindependence representationnew bivariate family of life distributionsrandom environmental effectsrandom hazardsWeibull minimum

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Reliability and life testing (62N05)

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Cites Work

• Unnamed Item
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• Multivariate distributions having Weibull properties
• Life table methods for heterogeneous populations: Distributions describing the heterogeneity
• Bivariate Exponential Distributions
• A Bivariate Extension of the Exponential Distribution
• A continuous multivariate exponential distribution
• A Test of the Equality of Survival Distributions Based on Paired Observations from Conditionally Independent Exponential Distributions
• Testing Equality of Correlated Exponential Variables
• A Continuous Bivariate Exponential Distribution
• Bivariate extreme value theory: Models and estimation
• Bivariate Survival Models Induced by Frailties
• One-parameter families of bivariate distributions with fixed marginals
• A Continuous Bivariate Exponential Extension
• A model for association in bivariate life tables and its application in epidemiological studies of familial tendency in chronic disease incidence
• Families of Multivariate Distributions
• Some Concepts of Dependence
• A Multivariate Exponential Distribution
• A Reliability Bound for Systems of Maintained, Interdependent Components