Classroom Note: The Inspection Paradox Inequality

  • Authors:
  • John E. Angus

  • Affiliations:
  • -

  • Venue:
  • SIAM Review
  • Year:
  • 1997

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Abstract

This note presents a rigorous proof of the fact that in a renewal process, the interarrival interval containing a specific time point is stochastically larger than a "typical" interarrival interval in the process. The key of the proof is a very useful and easily proved covariance inequality.