A Multivariate New Better than Used Class Derived from a Shock Model
Emad El-Neweihi, Frank Proschan, Jayaram Sethuraman
Operations Research · 1983 · Volume 31 · Issue 1
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
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