Along with classical continuous inspection plans, inspection plans with memory are considered that memorize the result of the last step of inspection after inspection stops. Using recurrent events, for each plan the expectation and variance of the number of objects are inspected until inspection stops.
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References
W. Feller, An Introduction to Probability Theory and its Applications, Vol. 1, 2nd ed., Wiley, New York (1957).
A. L. Gusev, “Recurrent events and characteristics of plans of continuous control,” J. Math. Sci., 75, 1571–1575 (1995).
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Translated from Statisticheskie Metody Otsenivaniya i Proverki Gipotez, Vol. 22, pp. 148–153, 2010
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Gusev, A.L. Continuous Inspection Plans with Memory. J Math Sci 267, 64–67 (2022). https://doi.org/10.1007/s10958-022-06107-0
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DOI: https://doi.org/10.1007/s10958-022-06107-0