Some estimates of geometric sums
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Publication:5953897
DOI10.1016/S0167-7152(01)00136-5zbMath0989.60082OpenAlexW1969137282MaRDI QIDQ5953897
Vladimir Kalashnikov, Jean-Louis Bon
Publication date: 29 July 2002
Published in: Statistics \& Probability Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0167-7152(01)00136-5
Reliability, availability, maintenance, inspection in operations research (90B25) Applications of renewal theory (reliability, demand theory, etc.) (60K10) Reliability and life testing (62N05) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)
Related Items (6)
ApproximatingM/G/1 Waiting Time Tail Probabilities ⋮ Discrete random bounds for general random variables and applications to reliability ⋮ Error bounds for exponential approximation of large-system reliability ⋮ On mixed censored \(\delta \)-shock models ⋮ Monotonicity and aging properties of random sums ⋮ Refinements of bounds for tails of compound distributions and ruin probabilities
Cites Work
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- Estimates for the probability of ruin with special emphasis on the possibility of large claims
- Bounds, inequalities, and monotonicity properties for some specialized renewal processes
- Bounds for geometric sums used for evaluation of reliability of regenerative models
- Tails of waiting times and their bounds
- Two-Sided Bounds for Ruin Probabilities when the Adjustment Coefficient does not Exist
- Simplified bounds on the tails of compound distributions
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