Let X1,...,Xn be a random sample from the pdf f(x;θ) = θx^(θ−1) , 0 ≤ x ≤ 1 , 0 < θ < ∞ Find the method of moments estimator of θ.
0 < <
between the limits 0 to 1.
Applying limts, we ge:
So, we can stimate with:
The method of moments estimator of is given by:
where is the sample mean given by:
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