Some new results on convolutions of heterogeneous gamma random variables

DOI10.1016/j.jmva.2011.01.013zbMath1219.60017OpenAlexW2060150728MaRDI QIDQ716175

Peng Zhao

Publication date: 19 April 2011

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmva.2011.01.013

zbMATH Keywords

likelihood ratio ordermajorizationright spread orderhazard rate ordermean residual life orderdispersive orderstar order\(p\)-larger orderreciprocal majorization ordergamma convolution

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Applications of renewal theory (reliability, demand theory, etc.) (60K10)

Related Items

Schur properties of convolutions of gamma random variables ⋮ COMMENTS ON THE SURVEY BY BALAKRISHNAN AND ZHAO ⋮ Functional characterizations of bivariate weak SAI with an application ⋮ SOME UNIFIED RESULTS ON COMPARING LINEAR COMBINATIONS OF INDEPENDENT GAMMA RANDOM VARIABLES ⋮ ON ORDERINGS BETWEEN WEIGHTED SUMS OF RANDOM VARIABLES ⋮ Increasing convex order on generalized aggregation of SAI random variables with applications ⋮ Stochastic comparisons and ageing properties of an extended gamma process ⋮ Ordering Properties of Convolutions from Heterogeneous Populations: A Review on Some Recent Developments

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