Q2. The Pareto distribution with parameter a has the following pdf a f(x) = xa+1•X € [1, 00), a > 1. Suppose the data x1 = 5, x2 = 2, x3 = 3 were drawn independently from such a distribution. a) Find the estimator for the parameter a by using methods of moments. b) Find the maximum likelihood estimate (MLE) of a. %3D

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Q2. The Pareto distribution with parameter a has the following pdf
f(x) =
x E [1, 00), a > 1.
xa+1'
Suppose the data x1 = 5, x2 = 2, x3 = 3 were drawn independently from such a distribution.
a) Find the estimator for the parameter a by using methods of moments.
b) Find the maximum likelihood estimate (MLE) of a.
Transcribed Image Text:Q2. The Pareto distribution with parameter a has the following pdf f(x) = x E [1, 00), a > 1. xa+1' Suppose the data x1 = 5, x2 = 2, x3 = 3 were drawn independently from such a distribution. a) Find the estimator for the parameter a by using methods of moments. b) Find the maximum likelihood estimate (MLE) of a.
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