Maximum Likelihood Estimation

Logic and Practice

Nonfiction, Reference & Language, Reference, Research, Social & Cultural Studies, Social Science
Cover of the book Maximum Likelihood Estimation by Scott R. Eliason, SAGE Publications
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Author: Scott R. Eliason ISBN: 9781506315904
Publisher: SAGE Publications Publication: August 9, 1993
Imprint: SAGE Publications, Inc Language: English
Author: Scott R. Eliason
ISBN: 9781506315904
Publisher: SAGE Publications
Publication: August 9, 1993
Imprint: SAGE Publications, Inc
Language: English

In this volume the underlying logic and practice of maximum likelihood (ML) estimation is made clear by providing a general modeling framework that utilizes the tools of ML methods. This framework offers readers a flexible modeling strategy since it accommodates cases from the simplest linear models to the most complex nonlinear models that link a system of endogenous and exogenous variables with non-normal distributions. Using examples to illustrate the techniques of finding ML estimators and estimates, Eliason discusses: what properties are desirable in an estimator; basic techniques for finding ML solutions; the general form of the covariance matrix for ML estimates; the sampling distribution of ML estimators; the application of ML in the normal distribution as well as in other useful distributions; and some helpful illustrations of likelihoods.

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In this volume the underlying logic and practice of maximum likelihood (ML) estimation is made clear by providing a general modeling framework that utilizes the tools of ML methods. This framework offers readers a flexible modeling strategy since it accommodates cases from the simplest linear models to the most complex nonlinear models that link a system of endogenous and exogenous variables with non-normal distributions. Using examples to illustrate the techniques of finding ML estimators and estimates, Eliason discusses: what properties are desirable in an estimator; basic techniques for finding ML solutions; the general form of the covariance matrix for ML estimates; the sampling distribution of ML estimators; the application of ML in the normal distribution as well as in other useful distributions; and some helpful illustrations of likelihoods.

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