For a uniform density over the interval (0,8), we want to estimate by kX using a sample of size n. X is the sample mean. a. What should be the value of k for this estimator to be an unbiased estimator? b. What is the variance of this estimator for the calculated value of k in part (a)?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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For a uniform density over the interval (0, 0), we want to estimate by k
using a sample of size n. X is the sample mean.
a. What should be the value of k for this estimator to be an unbiased estimator?
b. What is the variance of this estimator for the calculated value of k in part
(a)?
Transcribed Image Text:For a uniform density over the interval (0, 0), we want to estimate by k using a sample of size n. X is the sample mean. a. What should be the value of k for this estimator to be an unbiased estimator? b. What is the variance of this estimator for the calculated value of k in part (a)?
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