Evaluate result for the case in which x is an exponential rv

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Reference no: EM13909382

(a) Find limt→∞{E [N(t)] - t/X} for a renewal counting process {N(t); t > 0} with inter-renewal times {Xi; i ≥ 1}. Hint: Use Wald's equation.

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

(c) Evaluate your result for a case in which E [X] <>∞ and E rX2l = ∞. Explain (very briefly) why this does not contradict the elementary renewal theorem.

Text Book: Stochastic Processes: Theory for Applications By Robert G. Gallager.

Reference no: EM13909382

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