Let X1, X2, X3, X4 be a random sample of size 4 from a gamma distribution with parameters a = 3 and ß = 0, and let Y = E=1 Xj. a. Find the distribution of Y b. Is Y an unbiased estimator of 0. c. Find the value of c so that cY is an unbiased estimator of 0.

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Let X1, X2, X3, X4 be a random sample of size 4 from a gamma distribution with
3 and B = 0, and let Y = L=1Xi.
parameters a =
%3D
%3D
a. Find the distribution of Y
b. Is Y an unbiased estimator of 0.
c. Find the value of c so that cY is an unbiased estimator of 0.
Transcribed Image Text:Let X1, X2, X3, X4 be a random sample of size 4 from a gamma distribution with 3 and B = 0, and let Y = L=1Xi. parameters a = %3D %3D a. Find the distribution of Y b. Is Y an unbiased estimator of 0. c. Find the value of c so that cY is an unbiased estimator of 0.
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