Estimation of the survival function based on the log-logistic distribution

Document Type : Research Paper


Department of Mathematics, College of Education for pure Sciences, Ibn-Al-Haitham , University of Baghdad, Iraq


This paper proposes a new method by hybrid Simplex Downhill Algorithm with Moment Method (SMOM) to estimate the parameters of Log-Logistic distribution based on Survival functions. Simulation is used to compare the suggested methods with two classical methods (Maximum Likelihood Estimator and with Moment Method). The results demonstrate that SMOM was efficient than the maximum likelihood Estimator and Moment method based on Mean Square Error (MSE).