39. Recall that a recurrent state that is not positive recurrent is called null recurrent. Use the...

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39. Recall that a recurrent state that is not positive recurrent is called null recurrent. Use the result of Exercise 38 to prove that null recurrence is a class property.

That is, if state i is null recurrent and state i communicates with state j, show that state j is also null recurrent

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Introduction To Probability Models

ISBN: 9780080467825

9th Edition

Authors: Sheldon M Ross

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Question Posted: Sep 14, 2024 07:01 AM

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39. Recall that a recurrent state that is not positive recurrent is called null recurrent. Use the result of Exercise 38 to prove that null recurrence is a class property. That is, if state i is null...
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40. It follows from the argument made in Exercise 38 that state i is null recurrent if it is recurrent and i = 0. Consider the one-dimensional symmetric random walk of Example 4.15. (a) Argue that i...
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39. Recall that a recurrent state that is not positive recurrent is called null recurrent. Use the...

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Introduction To Probability Models

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