Let X1, X2, X3, X4 be a random sample of size 4 from a gamma distribution with parameters a = 3 and B = 0, and let Y = E=1Xi- 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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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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