An extension and implications of the inspection paradox

Research output: Contribution to journalArticlepeer-review


If random variables are observed until their sum first exceeds a constant then the "inspection paradox" is that XN is stochastically larger than X1. We generalize the inspection paradox, show a stochastic ordering of X1,...XN, and then interpret and consider ramifications of this stochastic ordering.

Original languageEnglish (US)
Pages (from-to)269-273
Number of pages5
JournalStatistics and Probability Letters
Issue number4
StatePublished - Mar 1988


  • Wald's identity
  • renewal process
  • stochastically larger

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty


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