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9.57 Refer to Exercise 9.18. Is the estimator of o² given there an MVUE of o²?

9.57 Refer to Exercise 9.18. Is the estimator of o² given there an MVUE of o²?

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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Answer 9.57

9.57 Refer to Exercise 9.18. Is the estimator of o² given there an MVUE of o²?
Transcribed Image Text:9.57 Refer to Exercise 9.18. Is the estimator of o² given there an MVUE of o²?
9.17 Suppose that X₁, X2,..., X, and Y₁, Y2,.... Y are independent random samples from pop- ulations with means ₁ and 2 and variances of and o?, respectively. Show that X - Y is a consistent estimator of μ₁ −μ₂. 9.18 In Exercise 9.17, suppose that the populations are normally distributed with o? = 0² = 0². Show that Σ(X - X) + ΣΟΥ - Y 2n-2
Transcribed Image Text:9.17 Suppose that X₁, X2,..., X, and Y₁, Y2,.... Y are independent random samples from pop- ulations with means ₁ and 2 and variances of and o?, respectively. Show that X - Y is a consistent estimator of μ₁ −μ₂. 9.18 In Exercise 9.17, suppose that the populations are normally distributed with o? = 0² = 0². Show that Σ(X - X) + ΣΟΥ - Y 2n-2
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