Let X1, . . . , Xn denote a sample from a population with one of the following densities or frequency functions. Find the MLE of θ

f(x, θ) = cθ^cx ^−(c+1) , x ≥ θ; c constant > 0; θ > 0. (Pareto density)

f(x, θ) = √ θx^ (√ θ−1) , 0 ≤ x ≤ 1, θ > 0. (beta, β( √ θ, 1), density)

 

 

 

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