Some inequalities of linear combinations of independent random variables. II

DOI10.3150/12-BEJ429zbMath1284.60046arXiv1312.2799MaRDI QIDQ2435222

Taizhong Hu, Maochao Xu, Xiaoqing Pan

Publication date: 4 February 2014

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.2799

zbMATH Keywords

likelihood ratio ordermajorizationlog-concavityusual stochastic orderSchur-concavity

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15)

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Cites Work

• Unnamed Item
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• Peakedness for weighted sums of symmetric random variables
• Some stochastic inequalities for weighted sums
• The tail behavior of the convolutions of Gamma random variables
• On the linear combination of exponential and gamma random variables
• On the right spread order of convolutions of heterogeneous exponential random variables
• A review of selected topics in multivariate probability inequalities
• Convex orders for linear combinations of random variables
• Some Inequalities of Linear Combinations of Independent Random Variables. I.
• Inequalities for linear combinations of gamma random variables
• Some Majorization Inequalities in Multivariate Statistical Analysis
• Bivariate characterization of some stochastic order relations
• ON ORDERINGS BETWEEN WEIGHTED SUMS OF RANDOM VARIABLES
• ON SKEWNESS AND DISPERSION AMONG CONVOLUTIONS OF INDEPENDENT GAMMA RANDOM VARIABLES
• Inequalities: theory of majorization and its applications
• An inequality for the weighted sums of pairwise i. i. d. generalized Rayleigh random variables