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x, R(x), is defined as the probability that X>x; ie, R(x)-P(X> x). Now, suppose that X has the Negative Exponential p.d.f, Then (ii) Use Theorem 1 in order to determine the MLE of R(x; θ), on the basis of a random sample X1,…, X from the underlying p.d.f. Theorem 1 Let θ-θ(x) be the MLE of θ on the basis of the observed values x1, , xn of the random sample X1, , X, from the pdf f(, θ), θ eOG ต Also, let θ*-g(e) be a one-to-one function defined on Ω onto Ω*GM Then the MLE ore..a(x), is given by θ(x)-g[d(x)]

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x, R(x), is defined as the probability that X>x; ie, R(x)-P(X> x). Now, suppose that X...
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