A continuous life distribution is said to be an IFR
Chapter , Problem 5(choose chapter or problem)
A continuous life distribution is said to be an IFR (increasing failure rate) distribution if its failure rate function (t) is nondecreasing in t. (a) Show that the gamma distribution with density f (t) = 2tet , t > 0 is IFR. (b) Show, more generally, that the gamma distribution with parameters , is IFR whenever 1. Hint: Write (t) = __ t es(s)1 ds et(t)1 _1
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