11. Consider a Yule process starting with a single individualthat is, suppose X(0) = 1. Let Ti...
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11. Consider a Yule process starting with a single individual—that is, suppose X(0) = 1. Let Ti denote the time it takes the process to go from a population of size i to one of size i + 1.
(a) Argue that Ti,i = 1,...,j , are independent exponentials with respective rates iλ.
(b) Let X1,...,Xj denote independent exponential random variables each having rate λ, and interpret Xi as the lifetime of component i. Argue that?
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