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

Marengo, James E. and Himes, Anne Marino and Reinberger, W. Cade and Farnsworth, David L. (2023) Probability Distributions Arising in Connection with the Inspection Paradox for Bernoulli Trials. Open Journal of Statistics, 13 (06). pp. 769-777. ISSN 2161-718X

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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.

Item Type: Article
Subjects: STM Library > Multidisciplinary
Depositing User: Managing Editor
Date Deposited: 14 Nov 2023 05:36
Last Modified: 14 Nov 2023 05:36
URI: http://open.journal4submit.com/id/eprint/3283

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