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A component in a system is placed into service where it operates until its failure whereupon it is replaced at the end of the period with a new component having statistically identical properties

A component in a system is placed into service, where it operates until its failure, whereupon it is replaced at the end of the period with a new component having statistically identical properties, and the process repeats. The probability that a component lasts for k periods is ak, for k = 1, 2, .... Let X,, be the remaining life of the component in service at the end of period n. Then Xn = 0 means that Xn will be the total operating life of the next component. Give the transition probabilities for the Markov chain

{Xn}.

Aug 04 2020 View more View Less

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