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.
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Publication Date
Fall 11-15-2023
Document Type
Article
Department, Program, or Center
Mathematics and Statistics, School of
College
College of Science
Recommended Citation
Marengo, J.E., Himes, A.M., Reinberger, W.C. and Farnsworth, D.L. (2023) Probability Distributions Arising in Connection with the Inspection Paradox for Bernoulli Trials. Open Journal of Statistics, 13, 769-777. https://doi.org/10.4236/ojs.2023.136038
Campus
RIT – Main Campus
