Consider a Markov chain in steady state. Say that a k length run of zeroes ends at

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Consider a Markov chain in steady state. Say that a k length run of zeroes ends at time m if

Show that the probability of this event is π0(P0,0)k−1(1 − P0,0)2, where π0 is the limiting probability of state 0.

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Introduction To Probability Models

ISBN: 9780443187612

13th Edition

Authors: Sheldon M. Ross

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Question Posted: Sep 19, 2024 10:06 PM

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Consider a Markov chain in steady state. Say that a k length run of zeroes ends at

Question:

Xm-k-10, Xm-k=Xm-k+1 = ... = Xm-1=0, Xm 0

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Introduction To Probability Models

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