Let the transition probabilities of a birth and death process be given by [p_{i}=frac{1}{1+[i /(i+1)]^{2}} text {
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Let the transition probabilities of a birth and death process be given by
\[p_{i}=\frac{1}{1+[i /(i+1)]^{2}} \text { and } q_{i}=1-p_{i} ; i=1,2, \ldots ; p_{0}=1\]
Show that the process is transient.
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Related Book For 
Applied Probability And Stochastic Processes
ISBN: 9780367658496
2nd Edition
Authors: Frank Beichelt
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