Robust weighted Maximum Likelihood Estimates and their comparison with other methods of logistic model with practical application

Abstract

In most of studies about the logistic regression model take in it's nature more progness in the procedure of acurate statistical analysis which aim getting estimators of a high level of efficiency , and importance of it's necessity to applicate of the robust methods, appears when the data of the studied phenomenon are contaminated , it means some of the observations vareit clearly from other observations called outliers which may produce estimators untrustworthy and so the decision will be false about the problem that we are trying to study it .From this point was the goal of this research in reaching robust estimators to estimate parameters of binary response logistic regression model through study estimators (method (WMLE) , OLS )Also the researcher specified a chapter for applying and using method WMLE (w1) on real data of angina pectoris patients which taking from Ibn-al- Nafees hospital for the purpose of estimate parameters of binary logistic regression model.