For a random sample Y1,..., Yn iid f (y; 0), define the following: - the likelihood function; | - the score function; the Fisher information in the sample about 0; the Cramer-Rao lower bound for the variance of estimators

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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• For a random sample Y1,...,Yn
f (y; 0), define the following:
the likelihood function;
the score function;
the Fisher information in the sample about 0;
the Cramer-Rao lower bound for the variance of estimators of 0;
the moment estimator of 0;
the maximum likelihood estimator of 0.
• What does it mean to say that 0 is an efficient estimator?
• What is the invariance property of MLES?
Transcribed Image Text:iid • For a random sample Y1,...,Yn f (y; 0), define the following: the likelihood function; the score function; the Fisher information in the sample about 0; the Cramer-Rao lower bound for the variance of estimators of 0; the moment estimator of 0; the maximum likelihood estimator of 0. • What does it mean to say that 0 is an efficient estimator? • What is the invariance property of MLES?
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