81. (a) Let {N(t), t 0} be a nonhomogeneous Poisson process with mean value function m(t). Given...
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81.
(a) Let {N(t), t 0} be a nonhomogeneous Poisson process with mean value function m(t). Given N(t) = n, show that the unordered set of arrival times has the same distribution as n independent and identically distributed random variables having distribution function
(b) Suppose that workmen incur accidents in accordance with a nonhomogeneous Poisson process with mean value function m(t). Suppose further that each injured man is out of work for a random amount of time having distribution F. Let X(t) be the number of workers who are out of work at time t. By using part (a), find E[X(t)].
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