Marengo, J.E., Himes, A.M., Reinberger, W.C. and Farnsworth, D.L. (2023) Probability Distributions Arising in Connection with the Inspection Paradox for the Poisson Process. Open Journal of Statistics, 13, 16-24.
https://doi.org/10.4236/ojs.2023.131002

has been cited by the following article:

• TITLE: Probability Distributions Arising in Connection with the Inspection Paradox for Bernoulli Trials

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

  KEYWORDS: Inspection Paradox, Interarrival Time, Bernoulli Trial, Renewal Process, Waiting Time

  JOURNAL NAME: Open Journal of Statistics, Vol.13 No.6, November 14, 2023

  ABSTRACT: In renewal theory, the Inspection Paradox refers to the fact that an interarrival period in a renewal process which contains a fixed inspection time tends to be longer than one for the corresponding uninspected process. We focus on the paradox for Bernoulli trials. Probability distributions and moments for the lengths of the interarrival periods are derived for the inspected process, and we compare them to those for the uninspected case.