A Minimum Power Divergence Class of CDFs and Estimators for the Binary Choice Model

This paper uses information theoretic methods to introduce a new class of probability distributions and estimators for competing explanations of the data in the binary choice model. No explicit parameterization of the function connecting the data to the Bernoulli probabilities is stated in the sp...

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Main Authors: Ron Mittelhammer, George Judge
Format: Article
Language:English
Published: Econometric Research Association 2009-04-01
Series:International Econometric Review
Online Access:http://www.era.org.tr/makaleler/6010030.pdf
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author Ron Mittelhammer
George Judge
author_facet Ron Mittelhammer
George Judge
author_sort Ron Mittelhammer
collection DOAJ
description This paper uses information theoretic methods to introduce a new class of probability distributions and estimators for competing explanations of the data in the binary choice model. No explicit parameterization of the function connecting the data to the Bernoulli probabilities is stated in the specification of the statistical model. A large class of probability density functions emerges including the conventional logit model. The new class of statistical models and estimators requires minimal a priori model structure and non-sample information, and provides a range of model and estimator extensions. An empirical example is included to reflect the applicability of these methods.
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spelling doaj.art-38c9e732328c47879420fdaf3b4848c02023-02-15T16:07:51ZengEconometric Research AssociationInternational Econometric Review1308-87931308-88152009-04-01113349A Minimum Power Divergence Class of CDFs and Estimators for the Binary Choice ModelRon Mittelhammer0George Judge1Regents Professor of Economic Sciences and Statistics, Washington State UniversityUniversity of CaliforniaThis paper uses information theoretic methods to introduce a new class of probability distributions and estimators for competing explanations of the data in the binary choice model. No explicit parameterization of the function connecting the data to the Bernoulli probabilities is stated in the specification of the statistical model. A large class of probability density functions emerges including the conventional logit model. The new class of statistical models and estimators requires minimal a priori model structure and non-sample information, and provides a range of model and estimator extensions. An empirical example is included to reflect the applicability of these methods.http://www.era.org.tr/makaleler/6010030.pdf
spellingShingle Ron Mittelhammer
George Judge
A Minimum Power Divergence Class of CDFs and Estimators for the Binary Choice Model
International Econometric Review
title A Minimum Power Divergence Class of CDFs and Estimators for the Binary Choice Model
title_full A Minimum Power Divergence Class of CDFs and Estimators for the Binary Choice Model
title_fullStr A Minimum Power Divergence Class of CDFs and Estimators for the Binary Choice Model
title_full_unstemmed A Minimum Power Divergence Class of CDFs and Estimators for the Binary Choice Model
title_short A Minimum Power Divergence Class of CDFs and Estimators for the Binary Choice Model
title_sort minimum power divergence class of cdfs and estimators for the binary choice model
url http://www.era.org.tr/makaleler/6010030.pdf
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