For a uniform density over the interval (0, 0), we want to estimate by kusing 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)?

The sample mean of a uniform distribution (0, ) is given by . is an unbiased estimator of .

Answered: For a uniform density over the interval…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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)?