2. Suppose X1, X2, X3 denote a random sample from exponential distribution with mean 0. Find all unbiased estimators among the following five estimators. (a) 01 = X1 (b) Ô2 = X1+X2 (c) Ôg = X1+2X2 (d)...

How do you find the mean and variance of part(d)?I need the detailed solution.

2. Suppose X1, X2, X3 denote a random sample from exponential distribution with mean 0. Find<br>all unbiased estimators among the following five estimators.<br>(a) 01 = X1<br>(b) Ô2 = X1+X2<br>(c) Ôg = X1+2X2<br>(d) Ô4 = min{X1, X2, X3}<br>(e) Ôs = X<br>3<br>%3D<br>%3D<br>Among all unbiased estimators which has the smallest variance?<br>

Extracted text: 2. Suppose X1, X2, X3 denote a random sample from exponential distribution with mean 0. Find all unbiased estimators among the following five estimators. (a) 01 = X1 (b) Ô2 = X1+X2 (c) Ôg = X1+2X2 (d) Ô4 = min{X1, X2, X3} (e) Ôs = X 3 %3D %3D Among all unbiased estimators which has the smallest variance?

Jun 07, 2022

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2. Suppose X1, X2, X3 denote a random sample from exponential distribution with mean 0. Find all unbiased estimators among the following five estimators. (a) 01 = X1 (b) Ô2 = X1+X2 (c) Ôg = X1+2X2 (d)...

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