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Consider a random sample X1, X2, ⋯ Xn from the pdf fx;θ=.51+θx, -1≤x≤1;0, o.w., where (this...

  1. Consider a random sample X1, X2, ⋯ Xn from the pdf

fx;θ=.51+θx, -1≤x≤1;0, o.w., where (this distribution arises in particle physics).

  1. Find the method of moment estimator of θ.

  1. Compute the variance of your estimator. Hint: Compute the variance of X and then apply the formula for X, etc.

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