SOME UNIFIED RESULTS ON COMPARING LINEAR COMBINATIONS OF INDEPENDENT GAMMA RANDOM VARIABLES

DOI10.1017/S0269964812000071zbMath1264.60018MaRDI QIDQ4911121

Maochao Xu, Subhash C. Kochar

Publication date: 13 March 2013

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

zbMATH Keywords

star orderingcomparing linear combinations of independent gamma random variables

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Probability distributions: general theory (60E05)

Related Items

Ordering results for series and parallel systems comprising heterogeneous exponentiated Weibull components ⋮ Schur properties of convolutions of gamma random variables ⋮ Stochastic comparisons on sample extremes of dependent and heterogenous observations ⋮ Star-shaped order for distributions characterized by several parameters and some applications ⋮ On the sample ranges from heterogeneous exponential variables ⋮ On the unique crossing conjecture of Diaconis and Perlman on convolutions of gamma random variables ⋮ On the skewness of extreme order statistics from heterogeneous samples ⋮ On the skewness of order statistics with applications ⋮ Ordering Properties of Convolutions from Heterogeneous Populations: A Review on Some Recent Developments

Cites Work

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• On tail-ordering and comparison of failure rates
• Dispersive and superadditive ordering
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• Two Variability Orders
• ON SKEWNESS AND DISPERSION AMONG CONVOLUTIONS OF INDEPENDENT GAMMA RANDOM VARIABLES
• Inequalities: theory of majorization and its applications

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