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A strong renewal theorem for generalized renewal functions in the infinite mean case

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Publication:1092526
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DOI10.1007/BF00959611zbMath0627.60081MaRDI QIDQ1092526

Kevin K. Anderson, Krishna B. Athreya

Publication date: 1988

Published in: Probability Theory and Related Fields (Search for Journal in Brave)


zbMATH Keywords

regular variationstrong renewal theoremgeneralized renewal function


Mathematics Subject Classification ID

Renewal theory (60K05)


Related Items (3)

A fluid cluster Poisson input process can look like a fractional Brownian motion even in the slow growth aggregation regime ⋮ Modeling network traffic by a cluster Poisson input process with heavy and light-tailed file sizes ⋮ On the number of renewals in random time




Cites Work

  • A renewal theorem of Blackwell type
  • On harmonic renewal measures
  • On subordinated distributions and random record processes
  • Some Limit Theorems for Generalized Renewal Measures
  • Harmonic renewal measures
  • Strong Renewal Theorems with Infinite Mean
  • Regular variation of the tail of a subordinated probability distribution




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