Stochastic Comparisons of Order Statistics and Spacings: A Review

By Subhash C. Kochar. 2012

50 citations recorded by the source corpus.

We review some of the recent developments in the area of stochastic comparisons of order statistics and sample spacings. We consider the cases when the parent observations are identically as well as nonidentically distributed. But most of the time we will be assuming that the observations are independent. The case of independent exponentials with unequal scale parameters as well as the proportional hazard rate model is discussed in detail.

Subfields: Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/58af92f8d30245416bc49168172ffcc72d45888f

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In Statistics and Probability

1. Rui Fang
2. Chen Li
3. Xiaohu Li

Citations in the corpus

• Stochastic comparisons on sample extremes of dependent and heterogenous observations (2016, background): “For two samples X ∼ PH(F̄, α, e−t) and Y ∼ PH(F̄, β, e−t), Khaledi and Kochar [11, Corollary 4.3] showed that β p α or equivalently (lnβ1, . . . , lnβn) w (lnα1, . . . , lnαn) implies Xn:n ≥st Yn:n. Recently, Li and Fang [4, Theorem 4.2] extended this result to two heterogeneous PH samples with diff”