Multivariate hazard rate orders
type: Item
instance of: scholarly article
title: Multivariate hazard rate orders
zbMATH Open document ID: 1012.62108
DOI: 10.1016/S0047-259X(02)00019-2
author: Taizhong Hu
author: Baha-Eldin Khaledi
author: Moshe Shaked
published in: Journal of Multivariate Analysis
publication date: 2003-04-02T00:00:00Z
review text: A weak and a strong notion of multivariate hazard rate orders are introduced and studied. Relationships of the new orders to other common stochastic orders are described. Useful preservation properties of these orders are proven and a sample of examples which illustrate the theory is given. Some applications of the new orders in reliability theory and in actuarial science are described.
Mathematics Subject Classification ID: 62N05
Mathematics Subject Classification ID: 60E15
Mathematics Subject Classification ID: 60K10
zbMATH DE Number: 1891224
zbMATH Keywords: likelihood ratio order
zbMATH Keywords: stochastic orders
zbMATH Keywords: upper orthant order
zbMATH Keywords: total positivity
zbMATH Keywords: hazard gradient
zbMATH Keywords: preservation properties
zbMATH Keywords: mixtures
zbMATH Keywords: multivariate Pareto distributions
zbMATH Keywords: Marshall-Olkin distribution
zbMATH Keywords: Farlie-Gumbel-Morgenstern distribution
zbMATH Keywords: Multivariate mean residual life functions
zbMATH Keywords: Accelerated life testing
zbMATH Keywords: Random environments
zbMATH Keywords: k-out-of-n
zbMATH Keywords: systems
zbMATH Keywords: Shock models
zbMATH Keywords: Claim models
zbMATH Keywords: Scaled lifetimes
reviewed by: Jarosław Bartoszewicz
describes a project that uses: Linkages
MaRDI profile type: Publication
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full work available at URL: s0047-259x(02)00019-2
OpenAlex ID: W2032243132
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description: scientific article; zbMATH DE number 1891224