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.
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Department, Program, or Center
Mathematics and Statistics, School of
College of Science
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
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