The Annals of Probability

A Class of Multivariate New Better Than Used Distributions

Albert W. Marshall and Moshe Shaked

Full-text: Open access

Abstract

A class of multivariate distributions with new better than used (NBU) marginals is introduced. A number of necessary and sufficient conditions for a distribution to be a member in the class are given. Closure results, which are useful for the identification or construction of members in the class, are derived. In particular, simple proofs of some well known preservation properties of the class of the univariate NBU distributions are obtained. Two examples of replacement models, that give rise to multivariate NBU distributions in the class, are discussed.

Article information

Source
Ann. Probab., Volume 10, Number 1 (1982), 259-264.

Dates
First available in Project Euclid: 19 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aop/1176993931

Digital Object Identifier
doi:10.1214/aop/1176993931

Mathematical Reviews number (MathSciNet)
MR637394

Zentralblatt MATH identifier
0481.62077

JSTOR
links.jstor.org

Subjects
Primary: 62N05: Reliability and life testing [See also 90B25]
Secondary: 62H05: Characterization and structure theory

Keywords
New better than used upper sets homogenous and subhomogenous functions increasing failure rate average coherent structures replacement model

Citation

Marshall, Albert W.; Shaked, Moshe. A Class of Multivariate New Better Than Used Distributions. Ann. Probab. 10 (1982), no. 1, 259--264. doi:10.1214/aop/1176993931. https://projecteuclid.org/euclid.aop/1176993931


Export citation