(a) Show that Approximation 1 of Section 6.9 is equivalent to uniformizing the continuous-time Markov chain with...

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(a) Show that Approximation 1 of Section 6.9 is equivalent to uniformizing the continuous-time Markov chain with a value v such that vt = n and then approximating Pij (t) by P

∗n ij .

(b) Explain why the preceding should make a good approximation.

Hint: What is the standard deviation of a Poisson random variable with mean n?

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Introduction To Probability Models

ISBN: 9780443187612

13th Edition

Authors: Sheldon M. Ross

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Question Posted: Sep 05, 2024 08:02 AM

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(a) Show that Approximation 1 of Section 6.9 is equivalent to uniformizing the continuous-time Markov chain with...

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Introduction To Probability Models

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