Probability Distributions Arising in Connection with the Inspection Paradox for Bernoulli Trials ()
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.
Share and Cite:
Marengo, J. , Himes, A. , Reinberger, W. and Farnsworth, D. (2023) Probability Distributions Arising in Connection with the Inspection Paradox for Bernoulli Trials.
Open Journal of Statistics,
13, 769-777. doi:
10.4236/ojs.2023.136038.
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