IJSAR, 3(3), 2016; 51-59 51 International Journal of Sciences & Applied Research www.ijsar.in Parameter and confidence interval estimation of the extended exponential distribution from right censored survival time data Kamil ALAKUŞ 1 , Necati Alp ERİLLİ 2 * 1 Department of Statistics, OndokuzMayisUniversity, Samsun, TURKEY. 2 Department of Econometrics, Cumhuriyet University, Sivas, TURKEY. Correspondence Address: *Necati Alp ERİLLİ, Department of Econometrics, Cumhuriyet University, Sivas, TURKEY. _____________________________________________________________________________________________ Abstract Introduction: Extended Exponential Distribution is a new expansion of Exponential distribution. It has a rich hazard family which can study out a wide application area in survival analysis or reliability theory. Extended Exponential Distribution has also increasing, decreasing and constant hazard properties like Weibull, Exponentiated Exponential and Gamma Distributions. It is a kind of distribution which has accelerated hazard ratio properties. Case Report: In this study parameter estimation and asymptotic confidence intervals of parameters estimation in Extended Exponential Distribution for survival time analysis of right censored is discussed. A real time data is applied for illustrating to consider parameter estimation and asymptotic confidence intervals of parameters estimation in the study. Conclusion: Results for Extended Exponential distribution for analysis in Modal Choice and Correlation Results for Lung Cancer Test Group Patients give the best results than other distributions. This shows that Extended Exponential distribution could find a large application area in survival analysis and theory. Keywords: Extended Exponential Distribution, Point Estimation, Confidence Interval, Right Censoring Introduction Survival analysis is a discipline of statistics which deals with death in biological organisms and failure in mechanical systems. This topic is called reliability theory or reliability analysis in engineering and duration analysis or duration modeling in economics or even thistory analysis in sociology. Survival analysis attempts to answer questions such as fraction of a population which will survive in a certain time or what rate they will die or fail (Alakus et al., 2015). In recent years there are two important distributions frequently studied in survival time analysis or reliability theory. One is Exponentiated Exponential distribution and the other is Extended Exponential Distribution. Both distributions have rich hazard family as Weibull distribution as. Gupta and Kundu (2001) have introduced the Exponentiated Exponential distribution. This distribution has lots of properties which