1 answer

Let T,Tn be independent random variables with Weibull distributions with scale parameters ρι, . . ....

Question:

Let T,Tn be independent random variables with Weibull distributions with scale parameters ρι, . . . ,Pn and common shape γ. Prove that T min (T, . . . ,Tn) also has a Weibull distribution with shape y. Derive the distribution of T- min(Ti,...,Tn). man11

Let T,Tn be independent random variables with Weibull distributions with scale parameters ρι, . . . ,Pn and common shape γ. Prove that T min (T, . . . ,Tn) also has a Weibull distribution with shape y. Derive the distribution of T- min(Ti,...,Tn). man11

Answers

here phoho= lambda

Denote the ith hazard function by h(t)i-1,... , n then Using a previous result above so by the uniqueness of hazard functions

.

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