Convergence of the sum of reciprocal renewal times

Research output: Contribution to journalArticlepeer-review


Necessary and sufficient conditions are given for the almost sure convergence or divergence of ∑n=1(T1+ ⋯ + Tn)-1, where T1, T2,... are i.i.d. and positive.

Original languageEnglish (US)
Pages (from-to)185-187
Number of pages3
JournalStatistics and Probability Letters
Issue number3
StatePublished - Aug 1990


  • Renewal processes
  • almost sure convergence
  • return times

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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