A stochastic ordering of partial sums of independent random variables and of some random processes

DOI10.2307/3214901zbMath0757.60010OpenAlexW2313573192MaRDI QIDQ4021721

Philip J. Boland, Y. L. Tong, Frank Proschan

Publication date: 16 January 1993

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3214901

zbMATH Keywords

queueingreliability theorylikelihood ratio orderingfirst-passage problemsfamily of density functions having the semigroup property

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Applications of renewal theory (reliability, demand theory, etc.) (60K10) Reliability and life testing (62N05)

Related Items

Inequalities for the probability content of a rotated ellipse and related stochastic domination results, SOME SUFFICIENT CONDITIONS FOR RELATIVE AGING OF LIFE DISTRIBUTIONS, Concentration order on a metric space, with some statistical applications, Stochastic Orderings of Integer Valued Random Variables, On hazard rate ordering of the sums of heterogeneous geometric random variables, ISO\(^*\) property of two-parameter compound Poisson distributions with applications