Ordering Properties of Convolutions from Heterogeneous Populations: A Review on Some Recent Developments
type: Item
instance of: scholarly article
title: Ordering Properties of Convolutions from Heterogeneous Populations: A Review on Some Recent Developments
zbMATH Open document ID: 1332.60040
DOI: 10.1080/03610926.2012.762796
author: Peng Zhao
author: Xiaohu Li
publication date: 2014-08-18T00:00:00Z
Mathematics Subject Classification ID: 60E15
Mathematics Subject Classification ID: 60K10
zbMATH DE Number: 6331058
zbMATH Keywords: likelihood ratio order
zbMATH Keywords: hazard rate order
zbMATH Keywords: reversed hazard rate order
zbMATH Keywords: usual stochastic order
zbMATH Keywords: star order
zbMATH Keywords: dispersive order
zbMATH Keywords: majorization
zbMATH Keywords: \(p\)-larger order
zbMATH Keywords: convolution
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1080/03610926.2012.762796
OpenAlex ID: W2089811260
cites work: Schur properties of convolutions of exponential and geometric random variables
cites work: Ordering properties of convolutions of exponential random variables
cites work: Dispersive ordering of convolutions of exponential random variables
cites work: On the right spread order of convolutions of heterogeneous exponential random variables
cites work: The tail behavior of the convolutions of Gamma random variables
cites work: SOME UNIFIED RESULTS ON COMPARING LINEAR COMBINATIONS OF INDEPENDENT GAMMA RANDOM VARIABLES
cites work: On stochastic orders for sums of independent random variables
cites work: ORDERING CONVOLUTIONS OF HETEROGENEOUS EXPONENTIAL AND GEOMETRIC DISTRIBUTIONS REVISITED
cites work: Inequalities: theory of majorization and its applications
cites work: Life distributions. Structure of nonparametric, semiparametric, and parametric families.
cites work: Some properties of convolutions of Pascal and Erlang random variables
cites work: Comparison methods for stochastic models and risks
cites work: Convolution of geometrics and a reliability problem
cites work: Stochastic orders
cites work: On the Convolution of Heterogeneous Bernoulli Random Variables
cites work: Stochastic Ordering of Exponential Family Distributions and Their Mixturesxk
cites work: Some new results on convolutions of heterogeneous gamma random variables
cites work: Mean residual life order of convolutions of heterogeneous exponential random variables
cites work: Likelihood ratio ordering of convolutions of heterogeneous exponential and geometric random variables
cites work: Ordering properties of convolutions of heterogeneous Erlang and Pascal random variables
cites work: On hazard rate ordering of the sums of heterogeneous geometric random variables
cites work: Likelihood ratio order of the second order statistic from independent heterogeneous exponential random variables
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published in: Communications in Statistics. Theory and Methods
reviewed by: Fraser Daly
description: scientific article; zbMATH DE number 6331058