a) If X,, X,..., X, is a random sample from the uniform, U (4,2) distribution, find the method of moments estimators of 2, and 2,. (b) If X,, X,..., X, is a random sample from the geometric distribution with probability density function f(r; a)= a(1-a)*, x=0,1, 2,...; 0< a <1, determine 23**** 1- the Cramer-Rao lower bound for the variance of unbiased estimators of

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Question 2
(a) If X,, X,. X, is a random sample from the uniform, U (4,4) distribution, find
the method of moments estimators of 2, and A,.
(b) If X,, X,.., X, is a random sample from the geometric distribution with
probability density function f(r;a)=a(l-a)", x=0,1, 2,..; 0< a <l, determine
1-a
the Cramer-Rao lower bound for the variance of unbiased estimators of
Transcribed Image Text:Question 2 (a) If X,, X,. X, is a random sample from the uniform, U (4,4) distribution, find the method of moments estimators of 2, and A,. (b) If X,, X,.., X, is a random sample from the geometric distribution with probability density function f(r;a)=a(l-a)", x=0,1, 2,..; 0< a <l, determine 1-a the Cramer-Rao lower bound for the variance of unbiased estimators of
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