a) Find lim t→∞ {E [N(t)]t/ } for a renewal counting process {N(t); t > 0} with inter-renewal times {X i ;i ≥ 1}. b) Evaluate your result for the case in which X is an exponential random variable (you...




a) Find limt→∞{E [N(t)]t/} for a renewal counting process {N(t); t > 0} with inter-renewal times {Xi;i ≥ 1}.

b) Evaluate your result for the case in which X is an exponential random variable (you already know what the result should be in this case).


c) Evaluate your result for a case in which E[X] <>[X2] = ∞. Explain (very briefly) why this does not contradict the elementary renewal theorem.




May 08, 2022
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