Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



A note on the coincidence of some random functions

Author: George H. Weiss
Journal: Quart. Appl. Math. 14 (1956), 103-107
MSC: Primary 60.0X
DOI: https://doi.org/10.1090/qam/77026
MathSciNet review: 77026
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Abstract: This paper deals with a system capable of randomly attaining two states ``on'' and ``off". For convenience this system is pictured as a pulse train. The question is, what is the expected amount of time that $ n$ of such systems are in the same state simultaneously. The answer is shown to depend on the probability of a system being in a given state at a specified time. A formal solution for the Laplace transform of this probability is given.

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DOI: https://doi.org/10.1090/qam/77026
Article copyright: © Copyright 1956 American Mathematical Society

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