A note on conjugate \(\Pi\)-variation and a weak limit theorem for the number of renewals

DOI10.1016/0167-7152(88)90111-3zbMath0632.60084OpenAlexW2091186354MaRDI QIDQ1095507

Kevin K. Anderson, Krishna B. Athreya

Publication date: 1988

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(88)90111-3

zbMATH Keywords

regular variationrenewal theoryconjugation concepts

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Rate of growth of functions, orders of infinity, slowly varying functions (26A12) Renewal theory (60K05)

Related Items (3)

Strong renewal theorems and local large deviations for multivariate random walks and renewals ⋮ Notes on random walks in the Cauchy domain of attraction ⋮ Random walks in a moderately sparse random environment

Cites Work

• Conjugate \(\pi\)-variation and process inversion
• Regularly varying functions in the theory of simple branching processes
• Limit theorems for regenerative phenomena, recurrent events and renewal theory
• Fluctuation Theory of Recurrent Events
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