Consistency of the Maximum Likelihood Estimator in Logistic Regression Model: A Different Approach

Abstract

This article investigates the consistency of maximum likelihood estimators for the logistic regression model using a different approach. In this approach, we verify all the regularity conditions for the logistic regression model needed for consistency of the maximum likelihood estimators. The performance of the maximum likelihood estimators for consistency in the logistic regression model is also examined via standard Monte Carlo simulation study.