A Bayesian positive dependence of survival times based on the multivariate arrangement increasing property

Research output: Contribution to journalArticle

Abstract

We introduce a new notion of positive dependence of survival times of system components using the multivariate arrangement increasing property. Following the spirit of Barlow and Mendel (J. Amer. Statist. Assoc. 87, 1116-1122), who introduced a new univariate aging notion relative to exchangeable populations of components, we characterize a multivariate positive dependence with respect to exchangeable multicomponent systems. Closure properties of such a class of distributions under some reliability operations are discussed. For an infinite population of systems our definition of multivariate positive dependence can be considered in the frequentist's paradigm as multivariate totally positive of order 2 with an independence condition. de Finetti(-type) representations for a particular class of survival functions are also given.

Original languageEnglish
Pages (from-to)225-240
Number of pages16
JournalJournal of Statistical Planning and Inference
Volume70
Issue number2
DOIs
Publication statusPublished - 1998 Jul 15

Keywords

  • 62F15
  • 62N05
  • Association
  • De Finetti representation theorem
  • Multivariate arrangement increasing property
  • Multivariate totally positive of order 2

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty
  • Applied Mathematics

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