أختيار أفضل تقدير نموذج إنحدار لتوزيع ذي الحدين السالب مع تطبيق عملي

Choice of best estimate of regression model to negative binomial distribution with practical application

Abstract
Consider the negative binomial regression model one of the count models , that used to represent many phenomena and cases , these can not be expressed by ordinary models , necessarily we must use a count models generally and negative binomial regression spetially to represent these phenomena and cases , as well as lack of the researches and modern studies for these threads particularly health topics . Have been estimated the parameters of negative binomial regression model by four different methods : [ maximum likelihood estimation (MLE) ,iteratively re-weighted least square (IRLS) , weighted likelihood estimation (WLE) , weighted least square (WLS) . The goal of the study to reach the best method for estimation , where taked a random sample (257) patients are newborn suffering from congenital anomalies , they registered in the department of health Babylon . by using statistical programs (stata , spss , minitab ) to estimate the parameters of the models and determine the best method. The show results that the method of (IRLS)is the best because it has the lowest mean square error MSE and the highest R2