Question: Let X1, X2, . . . Xn be a random sample of size n from a distribution with probability density function f(x, ?) = ?x??1

Let X1, X2, . . . Xn be a random sample of size n from a distribution with probability density function f(x, ?) = ?x??1 , 0 0

(a) Obtain the maximum likelihood estimator of ?, ??. Calculate the estimate when x1 = 0.10, x2 = 0.20, x3 = 0.30, x4 = 0.40.

(a) Obtain the method of moments estimator of ?, ??. Calculate the estimate when x1 = 0.10, x2 = 0.20, x3 = 0.30, x4 = 0.40.

Let X1, X2, . . . Xn be a random sample of size n
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