A Multivariate New Better than Used Class Derived from a Shock Model

Emad El-Neweihi, Frank Proschan and Jayaram Sethuraman
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Emad El-Neweihi: University of Illinois at Chicago Circle, Chicago, Illinois
Frank Proschan: The Florida State University, Tallahassee, Florida
Jayaram Sethuraman: The Florida State University, Tallahassee, Florida

Operations Research, 1983, vol. 31, issue 1, 177-183

Abstract: We introduce a new class of multivariate new better than used (MNBU) life distributions based on a shock model similar to that yielding the Marshall-Olkin multivariate exponential distribution. Let T 1 , …, T M be independent new better than used (NBU) life lengths. Let F̄ ( t 1 , …, t n ) be the joint survival function of min I ∈ A 1 T 1 , I = 1, …, n , where A 1 , …, A n are nonempty subsets of {1, …, M } and U r =1 n A 1 = {1, …, M } F̄ ( t 1 , …, t n ) is said to be a MNBU survival function. Basic properties of MNBU survival functions are derived. Comparisons and relationships of this new class of MNBU survival functions are developed with earlier classes.

Keywords: 732; multivariate; life; distribution; model (search for similar items in EconPapers)
Date: 1983
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Persistent link: https://EconPapers.repec.org/RePEc:inm:oropre:v:31:y:1983:i:1:p:177-183

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