Morozov, E. and Potakhina, L. (2014) An Application of the Inspection Paradox in Stability Analysis of Optical Systems. 2014 6th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops (ICUMT), St. Petersburg, 6-8 October 2014, 522-525.
https://doi.org/10.1109/ICUMT.2014.7002156

has been cited by the following article:

• TITLE: Probability Distributions Arising in Connection with the Inspection Paradox for the Poisson Process

  AUTHORS: James E. Marengo, Anne Marino Himes, W. Cade Reinberger, David L. Farnsworth

  KEYWORDS: Inspection Paradox, Interarrival Time, Poisson Process, Renewal Process, Waiting Time

  JOURNAL NAME: Open Journal of Statistics, Vol.13 No.1, February 21, 2023

  ABSTRACT: The Inspection Paradox refers to the fact that in a Renewal Process, the length of the interarrival period which contains a fixed time is stochastically larger than the length of a typical interarrival period. To provide a more complete understanding of this phenomenon, conditioning arguments are used to obtain the distributions and moments of the lengths of the interarrival periods other than the one containing this fixed time for the case of the time-homogeneous Poisson Process. Distributions of the waiting times for events that occur both before and after this fixed time are derived. This provides a fairly complete probabilistic analysis of the Inspection Paradox.