Monotone Hazard and Failure Rates for Multivariate Distributions.

Abstract

It is shown that the monotone multivariate hazard and failure rates of Harris and of Brindley and Thompson have no natural analog involving the multivariate failure rate function of Basu for absolutely continuous distributions. Quantities related to the multivariate failure rate function are used to define monotone hazard and failure rates. It is shown that these are equivalent to the monotone hazard and failure rates of Harris and of Brindley and Thompson. Based on these quantities, the loss of memory property of Marshall and Olkin is characterized. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1975
Accession Number
ADA019942

Entities

People

  • Henry W. Block

Organizations

  • University of California, Berkeley

Tags

Fields of Study

  • Mathematics

Readers

  • Statistical inference.