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ESTIMATION OF MAXIMUM LIKELIHOOD IN LOGISTIC REGRESSION MODEL

Ton Wang

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Abstract

[Objective] To explore the relationship between the existence of maximum Likelihood estimation and the configurations of the sample space in Logistic regression model.[Methods] We describe the estimation of maximum Likelihood for separation and overlapping data with the geometric presentation of data arrangement of sample space.[Conclusion] The estimation of maximum Likelihood in Logistic regression model has association with the configurations of the sample space.Therefore,it is an important step to detect the configurations of the sample points with the aids of the warning messages from software outputs.

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What this paper is about

[Objective] To explore the relationship between the existence of maximum Likelihood estimation and the configurations of the sample space in Logistic regression model.[Methods] We describe the estimation of maximum Likelihood for separation and overlapping data with the geometric presentation of data arrangement of sample space.[Conclusion] The estimation of maximum Likelihood in Logistic regression model has association with the configurations of the sample space.Therefore,it is an important step to detect the configurations of the sample points with the aids of the warning messages from software outputs.

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Available abstract

[Objective] To explore the relationship between the existence of maximum Likelihood estimation and the configurations of the sample space in Logistic regression model.[Methods] We describe the estimation of maximum Likelihood for separation and overlapping data with the geometric presentation of data arrangement of sample space.[Conclusion] The estimation of maximum Likelihood in Logistic regression model has association with the configurations of the sample space.Therefore,it is an important step to detect the configurations of the sample points with the aids of the warning messages from software outputs.

Key concepts: Logistic regression, Statistics, Maximum likelihood, Mathematics, Sample (material), Sample space, Restricted maximum likelihood, Estimation

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