Accuracies in the Theory of the Logistic Models

Humberto Jesús Llinás

 

 

Abstract

The logistic models are studied, as a kind of generalized lineal models. A theorem is showed about existence and uniqueness of ML-estimates of the estimation of the logistic regression coefficients and the method in order to calculate it. According to an asymptotic theory for this ML-estimates and the score vector, it has been founded approaching for different deviations -2log L (in this expression, L is the function of maximum likelihood). In consequence, we have gotten statistics for different hypotheses test which is asymptotically chi-square. The asymptotic theory is developed for the independent variables and no distributed identically variables. It is made the difference between ungrouped and grouped data.

 

Key words: Binary response, Generalized linear model, Asymptotic theory.       

 

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