Dispersive ordering of convolutions of exponential random variables

DOI10.1016/S0167-7152(98)00279-XzbMath0926.62005MaRDI QIDQ1292789

Chunsheng Ma, Subhash C. Kochar

Publication date: 28 November 1999

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Order statistics; empirical distribution functions (62G30) Characterization and structure theory of statistical distributions (62E10)

Related Items (30)

Likelihood ratio order of parallel systems with heterogeneous Weibull components ⋮ The stochastic precedence ordering with applications in sampling and testing ⋮ A note on the right spread order associated with exponential distributions ⋮ Dispersive ordering-some applications and examples ⋮ Stochastic comparisons of series systems with heterogeneous Weibull components ⋮ Stochastic comparisons of mixtures of parametric families in stochastic epidemics ⋮ Stochastic comparisons of order statistics and spacings: a review ⋮ COMMENTS ON THE SURVEY BY BALAKRISHNAN AND ZHAO ⋮ On multivariate dispersion orderings based on the standard construction ⋮ On the likelihood ratio order for convolutions of independent generalized Rayleigh random variables ⋮ On the right spread ordering of series systems with two heterogeneous Weibull components ⋮ ORDERING CONVOLUTIONS OF HETEROGENEOUS EXPONENTIAL AND GEOMETRIC DISTRIBUTIONS REVISITED ⋮ Ordering properties of convolutions of heterogeneous Erlang and Pascal random variables ⋮ Stochastic comparisons of order statistics from gamma distributions ⋮ Dispersive order of lifetimes of series systems in multiple-outlier Weibull models ⋮ The tail behavior of the convolutions of Gamma random variables ⋮ Likelihood ratio ordering of convolutions of heterogeneous exponential and geometric random variables ⋮ Some new results on convolutions of heterogeneous gamma random variables ⋮ On the mean residual life order of convolutions of independent uniform random variables ⋮ Dispersive ordering among linear combinations of uniform random variables ⋮ STOCHASTIC ORDER OF SAMPLE RANGE FROM HETEROGENEOUS EXPONENTIAL RANDOM VARIABLES ⋮ Stochastic Ordering of Exponential Family Distributions and Their Mixturesxk ⋮ Reliability, signature, and relative quality functions of systems under time‐homogeneous load‐sharing models ⋮ New results on stochastic comparison of order statistics from heterogeneous Weibull populations ⋮ Mean residual life order of convolutions of heterogeneous exponential random variables ⋮ Increasing directionally convex orderings of random vectors having the same copula, and their use in comparing ordered data ⋮ On hazard rate ordering of the sums of heterogeneous geometric random variables ⋮ On the right spread order of convolutions of heterogeneous exponential random variables ⋮ On stochastic orders for sums of independent random variables ⋮ Ordering Properties of Convolutions from Heterogeneous Populations: A Review on Some Recent Developments

Cites Work

• Unnamed Item
• Schur properties of convolutions of exponential and geometric random variables
• Stochastic orders for spacings of heterogeneous exponential random variables
• On extensions of dmrl and related partial orderings of life distributions
• Dispersive distributions, and the connection between dispersivity and strong unimodality
• Inequalities: theory of majorization and its applications

This page was built for publication: Dispersive ordering of convolutions of exponential random variables