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Second-order asymptotics in level crossing for differences of renewal processes

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Publication:1190173
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DOI10.1016/0304-4149(92)90016-JzbMath0751.60085OpenAlexW2057754078WikidataQ118141968 ScholiaQ118141968MaRDI QIDQ1190173

Wilbert C. M. Kallenberg, Dirk P. Kroese

Publication date: 27 September 1992

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(92)90016-j


zbMATH Keywords

renewal processeslevel crossingSecond-order expansions


Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Reliability and life testing (62N05) Renewal theory (60K05)




Cites Work

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  • Sequential analysis. Tests and confidence intervals
  • Asymptotic expansions in boundary crossing problems
  • On the Characteristics of the General Queueing Process, with Applications to Random Walk
  • Limit theorems for first-passage times in linear and non-linear renewal theory
  • Approximations to the Lifetime Distribution of k-Out-of-n Systems with Cold Standby
  • The difference of two renewal processes level crossing and the infimum
  • Convergence Rates in the Law of Large Numbers


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