Question: (a) Explain why it is anachronistic to compare the maximum likelihood method to the parametric method of moments. (b) Compare and contrast Pearsons method of

(a) Explain why it is anachronistic to compare the maximum likelihood method to the parametric method of moments.

(b) Compare and contrast Pearson’s method of moments with the parametric method of moments.

(c) Consider the simple Pareto statistical model with density

f(x; 0) = 0xx(0+1), 0 > 0, x > xo > 0,

where x0 is a known lower bound for X. Derive theMLE of θ and compare it with the PMM and least-squares estimators.

f(x; 0) = 0xx(0+1), 0 > 0, x > xo > 0, x R,

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