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uniform population with a = U, then n (a) Show that 2X is also an unbiased estimator of ß. (b) Compare the efficiency of these two estimators of B. un biased

uniform population with a = U, then n (a) Show that 2X is also an unbiased estimator of ß. (b) Compare the efficiency of these two estimators of B. un biased

MATLAB: An Introduction with Applications
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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EXERCISE In Example A we showed that if X₁, X2, ..., Xn constitute a random sample from a uniform population with a = 0, then Yn is an unbiased estimator of B. n+1 n (a) Show that 2X is also an unbiased estimator of ß. (b) Compare the efficiency of these two estimators of B. al show that za is also an un biased estimater of B mean According to the properties of sample 1-8X = M 2- var(x) = wher Mis the population mean and o² is the variance of population 20 Dr. Asieh Abtahi - Faculty of Mathematics and Statistics - Islamic Azad University of Shiraz - Iran
Transcribed Image Text:EXERCISE In Example A we showed that if X₁, X2, ..., Xn constitute a random sample from a uniform population with a = 0, then Yn is an unbiased estimator of B. n+1 n (a) Show that 2X is also an unbiased estimator of ß. (b) Compare the efficiency of these two estimators of B. al show that za is also an un biased estimater of B mean According to the properties of sample 1-8X = M 2- var(x) = wher Mis the population mean and o² is the variance of population 20 Dr. Asieh Abtahi - Faculty of Mathematics and Statistics - Islamic Azad University of Shiraz - Iran
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