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Some new results on stochastic comparisons of parallel systems
Let X 1,…,X n be independent exponential random variables with X i having hazard rate . Let Y 1,…,Y n be a random sample of size n from an exponential distribution with common hazard rate ̃λ = (∏ i=1
The signature of a coherent system and its application to comparisons among systems
Various methods and criteria for comparing coherent systems are discussed. Theoretical results are derived for comparing systems of a given order when components are assumed to have independent and
Some New Results on Stochastic Comparisons of Spacings from Heterogeneous Exponential Distributions
Some new results are obtained on stochastic orderings between random vectors of spacings from heterogeneous exponential distributions and homogeneous ones. LetD1, ?, Dnbe the normalized spacings
Partial orderings of distributions based on right-spread functions
In this paper we introduce a quantile dispersion measure. We use it to characterize different classes of ageing distributions. Based on the quantile dispersion measure, we propose a new partial
The total time on test transform and the excess wealth stochastic orders of distributions
For nonnegative random variables X and Y we write X ≤TTT Y if ∫0 F -1(p)(1-F(x))dx ≤ ∫0 G -1(p)(1-G(x))dx all p ∈ (0,1), where F and G denote the distribution functions of X and Y respectively. The
Comparisons of Parallel Systems According to the Convex Transform Order
A parallel system with heterogeneous exponential component lifetimes is shown to be more skewed (according to the convex transform order) than the system with independent and identically distributed
On tail-ordering and comparison of failure rates
In this paper, we have studied some implications between tail-ordering (also known as dispersive ordering) and failure rate ordering (also called TP2 ordering) of two probability distribution