On the Existence of Maximum Likelihood Estimators for the Binomial Response Models

Necessary and sufficient conditions are given for the existence of maximum likelihood estimators of the linear regression parameter in binomial response (this includes Logit and Probit) models.

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Bibliographic Details
Published in:Journal of the Royal Statistical Society. Series B, Methodological Methodological, 1981, Vol.43 (3), p.310-313
Main Author: Silvapulle, Mervyn J.
Format: Article
Language:English
Subjects:
binomial response
Binomials
existence
Mathematical functions
Mathematical minima
Mathematical vectors
maximum likelihood estimator
Maximum likelihood estimators
Questionnaires
Unit vectors
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Description
Summary:Necessary and sufficient conditions are given for the existence of maximum likelihood estimators of the linear regression parameter in binomial response (this includes Logit and Probit) models.
ISSN:0035-9246
1369-7412
2517-6161
1467-9868
DOI:10.1111/j.2517-6161.1981.tb01676.x