Stochastic Order Relations Among Parallel Systems from Weibull Distributions

2015/03/01 by Nuria Torrado, Subhash C. Kochar · 2 citations
Mathematics · Decision Sciences · #Statistical Distribution Estimation and Applications #Probability and Risk Models #Random Matrices and Applications

paper · pdf · doi:10.1239/jap/1429282609

Abstract

Let X λ 1 , X λ 2 , …, X λ n be independent Weibull random variables with X λ i ∼ W(α, λ i ), where λ i > 0 for i = 1, …, n . Let X n : n λ denote the lifetime of the parallel system formed from X λ 1 , X λ 2 , …, X λ n . We investigate the effect of the changes in the scale parameters (λ 1 , …, λ n ) on the magnitude of X n : n λ according to reverse hazard rate and likelihood ratio orderings.

Cited by

• Ordering Results between Two Extreme Order Statistics with Heterogeneous Linear Failure Rate Distributed Components
• Orderings of extremes among dependent extended Weibull random variables

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