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4. The density function of X is f(x|0) = (1 + 0)x, 0 x 1 where the domain of the parameter is restricted to

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4. The density function of X is f(x|0) = (1 + 0)x, 0 x 1 where the domain of the parameter is restricted to 0 > - 1 Suppose we have observed a random sample of size n independently generated from this distribution, X, . . . X Find the method of moment estimate 0. For a small dataset of size n= 3, x = 0.3, x2 = 0.5, x3 = 0.4, give the estimate.

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