Math  /  Data & Statistics

Question6 5/5 points Let X1,X2,,XnX_{1}, X_{2}, \ldots, X_{n} be independent and identically distributed random variables from a uniform distribution on the interval (0,a)(0, a). The value of a is unknown. Derive the method of moments estimate of the parameter a. 2(X1++Xn)/n2\left(X_{1}+\ldots+X_{n}\right) / n 2* median( X1,,Xn\mathrm{X} 1, \ldots, \mathrm{Xn} ) Max(X1,X2,,Xn)\operatorname{Max}\left(X_{1}, X_{2}, \ldots, X_{n}\right)

Studdy Solution
The method of moments estimate for the parameter aa is given by:
a=2Xˉa = 2 \cdot \bar{X}

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