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,X, and X, is a random sample of size 3 from a population with mean value u and variance o, T, T, T, are the 3 estimators used to estimate mean value cap or where T=X,+X,-X,T,= 2X,+3X, - 4X,&T, -ax, + x,+ x,) 1 +X+ (i) Are T and T unbiased estimators ? (ii) Find the value of A such that T, is unbiased estimator for u. With this value of A is T, a consistent estimator ? (iii) (iv) Which is the best estimator ?

,X, and X, is a random sample of size 3 from a population with mean value u and variance o, T, T, T, are the 3 estimators used to estimate mean value cap or where T=X,+X,-X,T,= 2X,+3X, - 4X,&T, -ax, + x,+ x,) 1 +X+ (i) Are T and T unbiased estimators ? (ii) Find the value of A such that T, is unbiased estimator for u. With this value of A is T, a consistent estimator ? (iii) (iv) Which is the best estimator ?

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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X,X, and X, is a random sample of size 3 from a population 3. with mean value u and variance o2, T, T, T, are the 3. estimators used to estimate mean value u, where T=X,+X,-X,T,= 2X,+3X, - 4X,& T, ax,+x,+x) 1 (ax,+X,+X,) (i) Are T, and T, unbiased estimators ? 1 2 (ii) Find the value of such that T, is unbiased estimator 3 for u. With this value of A is T, a consistent estimator ? (iii) 3 (iv) Which is the best estimator ?
Transcribed Image Text:X,X, and X, is a random sample of size 3 from a population 3. with mean value u and variance o2, T, T, T, are the 3. estimators used to estimate mean value u, where T=X,+X,-X,T,= 2X,+3X, - 4X,& T, ax,+x,+x) 1 (ax,+X,+X,) (i) Are T, and T, unbiased estimators ? 1 2 (ii) Find the value of such that T, is unbiased estimator 3 for u. With this value of A is T, a consistent estimator ? (iii) 3 (iv) Which is the best estimator ?
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