(a) Show that Approximation 1 of Section 6.8 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...

(a) Show that Approximation 1 of Section 6.8 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?