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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
This problem is concerned with the estimation of the variance of a normal distribution with unknown mean from a sample X1,..., Xn of
. normal random variables. In answering the following questions, use the fact that (from Theorem B of Section 6.3)
![]()
and that the mean and variance of a chi-square random variable with r
are r and 2r, respectively.
a. Which of the following estimates is unbiased?
![]()
b. Which of the estimates given in part (a) has the smaller MSE?
c. For what value of ρ does
have the minimal MSE?
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