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Econometrica Vol. 51 No. 3 1983

Distribution-Free Maximum Likelihood Estimator of the Binary Choice Model

Stephen R. Cosslett

Abstract

is a given function of the exogenous variables z and unknown parameters 9, representing the systematic component of the utility difference, and F is the distribution function of the random component of the utility difference. This paper describes a method of estimating the parameters 9 without assuming any functional form for the distribution function F, and proves that this estimator is consistent. F is also consistently estimated. The method uses maximum likelihood estimation in which the likelihood is maximized not only over the parameter 9 but also over a space which contains all distribution functions.

DOI
10.2307/1912157
Volume
51
Issue
3
Pages
765
Sources
bibtex:phds-export.bib crossref openalex

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