EQUIVALENT CHARACTERIZATIONS ON ORDERINGS OF ORDER STATISTICS AND SAMPLE RANGES

DOI10.1017/S0269964809990258zbMath1193.60025MaRDI QIDQ3564638

Tiantian Mao, Taizhong Hu

Publication date: 26 May 2010

Published in: Probability in the Engineering and Informational Sciences (Search for Journal in Brave)

zbMATH Keywords

exponential distributiongeometric distributionlargest-order statistics

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Extreme value theory; extremal stochastic processes (60G70)

Related Items (32)

ORDER STATISTICS FROM HETEROGENOUS NEGATIVE BINOMIAL RANDOM VARIABLES ⋮ COMPARISONS ON LARGEST ORDER STATISTICS FROM HETEROGENEOUS GAMMA SAMPLES ⋮ COMPARISONS OF SAMPLE RANGES ARISING FROM MULTIPLE-OUTLIER MODELS: IN MEMORY OF MOSHE SHAKED ⋮ CHARACTERIZATION ORDERING RESULTS FOR LARGEST ORDER STATISTICS FROM HETEROGENEOUS AND HOMOGENEOUS EXPONENTIATED GENERALIZED GAMMA VARIABLES ⋮ Analysis of Order Statistics from Distributions with Regularly Varying Tails ⋮ Comparisons between parallel systems with exponentiated generalized gamma components ⋮ On sample ranges from two sets of heterogenous random variables ⋮ New results on comparisons of parallel systems with heterogeneous gamma components ⋮ Stochastic comparisons on sample extremes of dependent and heterogenous observations ⋮ On extreme order statistics from heterogeneous Weibull variables ⋮ Likelihood ratio ordering for parallel systems with exponential components ⋮ Stochastic comparisons on extreme order statistics from observations associated by FGM copula ⋮ SOME NEW RESULTS ON THE LARGEST ORDER STATISTICS FROM MULTIPLE-OUTLIER GAMMA MODELS ⋮ A stochastic comparison result about hazard rate ordering of two parallel systems comprising of geometric components ⋮ Answer to an open problem about stochastic comparison of parallel systems with geometric components ⋮ On the sample ranges from heterogeneous exponential variables ⋮ On sample ranges in multiple-outlier models ⋮ On the skewness of extreme order statistics from heterogeneous samples ⋮ On the maxima of heterogeneous gamma variables with different shape and scale parameters ⋮ On maximum order statistics from heterogeneous geometric variables ⋮ Stochastic comparisons of largest-order statistics for proportional reversed hazard rate model and applications ⋮ ORDERING PROPERTIES OF SPACINGS FROM HETEROGENEOUS GEOMETRIC SAMPLES ⋮ On the Skewness of Order Statistics in Multiple-Outlier Models ⋮ ORDERING PROPERTIES OF ORDER STATISTICS FROM HETEROGENEOUS POPULATIONS: A REVIEW WITH AN EMPHASIS ON SOME RECENT DEVELOPMENTS ⋮ Likelihood ratio order of parallel systems under multiple-outlier models ⋮ Comparisons of largest order statistics from multiple-outlier gamma models ⋮ LIKELIHOOD RATIO AND HAZARD RATE ORDERINGS OF THE MAXIMA IN TWO MULTIPLE-OUTLIER GEOMETRIC SAMPLES ⋮ On stochastic comparisons of k-out-of-n systems with Weibull components ⋮ Hazard rate ordering of the largest order statistics from geometric random variables ⋮ Comparisons of order statistics from heterogeneous negative binomial variables with applications ⋮ ON PARALLEL SYSTEMS WITH HETEROGENEOUS GAMMA COMPONENTS ⋮ Likelihood ratio order of sample minimum from heterogeneous Weibull random variables

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