Exact results and bounds for the joint tail and moments of the recurrence times in a renewal process
type: Item
instance of: scholarly article
title: Exact results and bounds for the joint tail and moments of the recurrence times in a renewal process
zbMATH Open document ID: 1478.60239
author: Sotirios Losidis
author: Georgios Psarrakos
author: Konstadinos Politis
published in: Methodology and Computing in Applied Probability
publication date: 2022-01-07T00:00:00Z
Mathematics Subject Classification ID: 60K05
Mathematics Subject Classification ID: 60K10
zbMATH DE Number: 7453915
zbMATH Keywords: renewal process
zbMATH Keywords: renewal density
zbMATH Keywords: forward recurrence time
zbMATH Keywords: backward recurrence time
zbMATH Keywords: spread
zbMATH Keywords: joint moments
zbMATH Keywords: failure rate
zbMATH Keywords: upper orthant stochastic order
MaRDI profile type: Publication
full work available at URL: s11009-020-09787-w
OpenAlex ID: W3089627150
cites work: Q5691084
cites work: A note on stochastic comparisons of excess lifetimes of renewal processes
cites work: Joint distribution of sojourn time and queue length in the M/G/1 queue with (in)finite capacity
cites work: Bounds, inequalities, and monotonicity properties for some specialized renewal processes
cites work: Further monotonicity properties for specialized renewal processes
cites work: Classes of life distributions and renewal counting process
cites work: The moments of forward recurrence time
cites work: The Weibull renewal function for moderate to large arguments
cites work: Q5624436
cites work: The use of multiple integrals in the study of the backward and forward recurrence times for the ordinary renewal process
cites work: A generalization of the inspection paradox in an ordinary renewal process
cites work: The correlation of the backward and forward recurrence times in a renewal process
cites work: Some characterizations of renewal densities with emphasis in reliability
cites work: Stopped Random Walks
cites work: Some new results involving the NBU(2) class of life distributions
cites work: A two-sided bound for the renewal function when the interarrival distribution is IMRL
cites work: The covariance of the backward and forward recurrence times in a renewal process: the stationary case and asymptotics for the ordinary case
cites work: The covariance between the surplus prior to and ruin in the classical risk model
cites work: Q4004226
cites work: Stochastic orders
cites work: Some results on block replacement policies and renewal theory
DOI: 10.1007/S11009-020-09787-W
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description: scientific article; zbMATH DE number 7453915