Ordering properties of convolutions of heterogeneous Erlang and Pascal random variables
type: Item
instance of: scholarly article
title: Ordering properties of convolutions of heterogeneous Erlang and Pascal random variables
zbMATH Open document ID: 1193.60027
author: Peng Zhao
author: Narayanaswamy Balakrishnan
published in: Statistics \& Probability Letters
publication date: 2010-05-28T00:00:00Z
Mathematics Subject Classification ID: 60E15
Mathematics Subject Classification ID: 60K10
zbMATH DE Number: 5713567
zbMATH Keywords: majorization
zbMATH Keywords: \(p\)-larger order
zbMATH Keywords: reciprocal majorization order
zbMATH Keywords: likelihood ratio order
zbMATH Keywords: hazard rate order
zbMATH Keywords: mean residual life order
zbMATH Keywords: Erlang convolution
zbMATH Keywords: Pascal convolution
MaRDI profile type: Publication
full work available at URL: j.spl.2010.02.010
OpenAlex ID: W1967903349
cites work: Schur properties of convolutions of exponential and geometric random variables
cites work: Ordering properties of convolutions of exponential random variables
cites work: Q3580480
cites work: Q3367558
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: 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: 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: 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: 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
DOI: 10.1016/J.SPL.2010.02.010
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description: scientific article; zbMATH DE number 5713567