Using Akaike and Schwarz Criterions in Comparison between Survival Functions of Continuous Probability Distribution for population Age in Syria

Abstract

 this research is present  an attempt  to apply Survival functions of Logistic Log Distribution ,Normal Log Distribution and Gompertz Distribution on surviving Syrian population ages  for males and females, from less than one year to more than one hundred year, An estimate for survival probabilities was done by using (Non-linear LS Method) and helping( R.4.4.2) program, the real survival probabilities was calculated by using (Knapp Zeuner) method after using(Sprague coefficients table) to breakup five categories into one-age categories, during the observational years 2008.2009,2010,considering 2009 as the base year, to find out the fit of probability distributions to estimated survival probabilities  (Colmogorv-smirnov)Test was applied, The results came with  appropriateness Gompertz distribution  to estimated survival probabilities due to its fit to the real survival probabilities  and its least value of Akaike and Schwartz information Criterions comparing with other distributions.