A note on the coincidence of some random functions
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 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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