A note on Veraverbeke's theorem

Stan Zachary

Research output: Contribution to journalArticlepeer-review

29 Citations (Scopus)


We give an elementary probabilistic proof of Veraverbeke's theorem for the asymptotic distribution of the maximum of a random walk with negative drift and heavy-tailed increments. The proof gives insight into the principle that the maximum is in general attained through a single large jump.

Original languageEnglish
Pages (from-to)9-14
Number of pages6
JournalQueueing Systems
Issue number1-2
Publication statusPublished - Jan 2004


  • Long-tailed distribution
  • Ruin probability
  • Subexponential distribution


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