Regenerative processes in the infinite mean cycle case

DOI10.1239/JAP/996986651zbMath0987.60092OpenAlexW2078715584MaRDI QIDQ2731159

Kosto V. Mitov, Nikolay M. Yanev

Publication date: 23 June 2002

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

Full work available at URL: https://doi.org/10.1239/jap/996986651

zbMATH Keywords

stable distributionconditional limit theoremalternating renewal processalternating regenerative processinfinite mean cycle

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Renewal theory (60K05)

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Branching stochastic processes with immigration in analysis of renewing cell populations ⋮ Age and residual lifetime distributions for branching processes ⋮ Controlled branching processes with continuous time ⋮ A study of renewal processes with infinite means ⋮ Critical Bellman–Harris branching processes with infinite variance allowing state-dependent immigration

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