Exact results and bounds for the joint tail and moments of the recurrence times in a renewal process
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Publication:2065483
DOI10.1007/s11009-020-09787-wzbMath1478.60239OpenAlexW3089627150MaRDI QIDQ2065483
Georgios Psarrakos, Sotirios Losidis, Konstadinos Politis
Publication date: 7 January 2022
Published in: Methodology and Computing in Applied Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11009-020-09787-w
failure raterenewal processspreadrenewal densityjoint momentsforward recurrence timebackward recurrence timeupper orthant stochastic order
Related Items
Recurrence times and the expected number of renewal epochs over a finite interval ⋮ Covariance between the forward recurrence time and the number of renewals ⋮ Refinement bounds for the expected number of renewal epochs over a finite interval
Cites Work
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- Joint distribution of sojourn time and queue length in the M/G/1 queue with (in)finite capacity
- Stochastic orders
- Bounds, inequalities, and monotonicity properties for some specialized renewal processes
- The moments of forward recurrence time
- Further monotonicity properties for specialized renewal processes
- The Weibull renewal function for moderate to large arguments
- A two-sided bound for the renewal function when the interarrival distribution is IMRL
- Some new results involving the NBU(2) class of life distributions
- A note on stochastic comparisons of excess lifetimes of renewal processes
- The Covariance Between the Surplus Prior to and at Ruin in the Classical Risk Model
- Stopped Random Walks
- Some characterizations of renewal densities with emphasis in reliability
- The use of multiple integrals in the study of the backward and forward recurrence times for the ordinary renewal process
- Some results on block replacement policies and renewal theory
- A generalization of the inspection paradox in an ordinary renewal process
- The correlation of the backward and forward recurrence times in a renewal process
- Classes of life distributions and renewal counting process
- The covariance of the backward and forward recurrence times in a renewal process: the stationary case and asymptotics for the ordinary case