On the existence of maximum likelihood estimates in logistic regression models

@inproceedings{Albert1984OnTE,
  title={On the existence of maximum likelihood estimates in logistic regression models},
  author={Adelin Albert and J. B. Anderson},
  year={1984}
}
SUMMARY The problems of existence, uniqueness and location of maximum likelihood estimates in log linear models have received special attention in the literature (Haberman, 1974, Chapter 2; Wedderburn, 1976; Silvapulle, 1981). For multinomial logistic regression models, we prove existence theorems by considering the possible patterns of data points, which fall into three mutually exclusive and exhaustive categories: complete separation, quasicomplete separation and overlap. Our results suggest… CONTINUE READING

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