Thesis Discussion
The College of Science for Women at the University of Baghdad discussed a master’s thesis
(Estimate The Reliability Function For Exponential Weibull Model With Application)
by a student (Israa Abbas Ahmed).
This thesis aims, two parameters of the Exponential Weibull distribution (EWD) are analyzed using five classical estimation methods to estimate these parameters, the first is Maximum Likelihood Estimation (MLE), the second is Rank Set Sampling Estimation (RSSE), the third is Ordinary Least Squares Estimation (OLSE1), the fourth is Ordinary Least Squares Estimation (OLSE2), and the fifth is Maximum Entropy Estimation (MEE).After that, the simulation procedure (Monto-Carlo technique) is used to estimate the parameters and Reliability function for different and various values of sample size and various initial values, which comes from employing a MATLAB programing.
Subsequently, a comparative analysis of the five estimation methods is conducted based on the absolute error values and the Mean Squared Error (MSE) foe estimating the two parameters. Additionally, the (MSE) is employed to access the estimation of the Reliability function, facilitating the identification of the most effective methods for parameters and Reliability estimation .The results are then organized in to tables to enable comprehensive comparison. Finally, real data is collected from the Ministry of Industry and Minerals/General Company for Automotive Industry/Battery Factory are apply to find estimate values of probability failure function(pff), cumulative distribution function(cdf), Reliability R(t) and hazard h(t) functions.
Final Grade: Excellent.
