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4. Let T be a failure time having log logistic distribution with location and scale parameters μ and σ. In other words, logT has a Logistic (μ, σ) distribution. (a) Show that the s.f. of T has the form S(t)- (b) Re-parameterization. Show that with new parameters (AC), the hazard function and s.f. of T can be written as h(t) - and S(t) = Specify the parameters (λ, α) as functions of (μ, σ)

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