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

نویسندگان
Ibrahim, Amina ID 1
Kalaf, Bayda Atiya ID 2

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

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

doi
10.22075/ijnaa.2022.5466
چکیده

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).

کلیدواژه‌ها
hybrid Simplex Downhill Algorithm, Log-Logistic distribution, Mean Square Error