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- W2384432675 abstract "In this paper we discuss the bounds of difference between two life distributions under certain stochastic orders. Let F be a life distribution, μ(F) and μ_2(F) the first and the second moments of F, respectively. The main results are as follows. 1) If FG, μ(F)=μ(G)=μ, then 1/μ integral from n=o to ∞ F(t)-G(t)|dt≤2 ρ~(1/2) where ρ=p/μ~2, p=1/2[μ_2(G)-μ_2(F)]. 2) If FG, μ(F)=μ(G)=μ, and G satisfies Lipschitz condition, i. e., x_1, x_2≥0, |G(x_1)-G(x_2)|≤M|x_1-x_2|, M0 is a constant, then sup |F(t)-G(t)|≤((2M)~2p)~(1/3). Finally, we discuss the using of Weibull distribution as an approximate bound of a special class of life distributions." @default.
- W2384432675 created "2016-06-24" @default.
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- W2384432675 date "1988-01-01" @default.
- W2384432675 modified "2023-09-23" @default.
- W2384432675 title "SOME INEQUALITIES UNDER CERTAIN STOCHASTIC ORDER" @default.
- W2384432675 hasPublicationYear "1988" @default.
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