The Monto-Carlo procedure of some estimation methods for Exponential-Weibull distribution
Abstract views: 21
/ 
PDF downloads: 15
Keywords:
Exponential-Weibull distribution; Monte Carlo simulation; Reliability functionAbstract
In this paper, deicing and derivative two parameters of Exponential Weibull (EW) distribution using three methods of estimate first is maximum likelihood estimation (MLE) the second is ordinary least squares estimation (OLS) and the third is ranked set sampling estimation (RSSE). After that, the simulation technique (Monto-Carlo method) is used to estimate the parameters and Reliability function for different values of sample size and various values of initial values by employing a MATLAB programmer and then using the Mean square error to find which method is the best
References
G.S. Mudholkar and D.K. Srivastava, (1993). Exponentiated Weibull family for analyzing bathtub failure-rate data, IEEE Transactions on Reliability, 42(2): 299–302.
R. Jiang and D.N.P. Murthy, (1999). The exponentiated Weibull family: a graphical approach, IEEE Transactions on Reliability, 48(1): 68–72.
M. Pal, M.M. Ali and J. Woo, (2006). Exponentiated Weibull distribution, Statistica, 66(2).
I.H. Al–Kanani and S.A. Jasim, (2011). Estimate Survival Function for the Brain Cancer Disease by Using Three Parameters Weibull Distribution, Journal of Basrah Researches (Sciences), 37(4).
I.H. Alkanani and M.S. Abbas, (2014). The Non-Bayesian Estimators Methods for Parameters of Exponentiated Weibull (EW) Distribution, International Journal of Mathematics and Statistical Studies, 2(5): 81–94.
A.H. Ali and I.H. Al-Kanani, (2021). Bayesian Methods to Estimate the Parameters of Exponentiated Weibull Distribution, Journal of Physics: Conference Series. doi: 10.1088/1742-6596/1818/1/012143
R.N. Shalan and I.H. Alkanani, (2023). Some Methods to Estimate the Parameters of Generalized Exponential Rayleigh Model by Simulation, Iraqi Journal for Computer Science and Mathematics, 4(5): 118–129.
R.N. Shalan and I.H. Alkanani, (2023). Statistical Properties of Generalized Exponential Rayleigh Distribution, Palest. J. Math., 12(1): 46–58.
Z.A. Aldraji and R.N. Shalan, (2024). Reliability Function Estimated for Generalized Exponential Rayleigh Distribution Under Type-I Censored Data and Fuzzy Data, International Journal of Neutrosophic Science, 24(2): 19–29.
R.N. Shalan and I.H. Alkanani, (2024). The Simulation Technique to Estimate the Parameters of Generalized Exponential Rayleigh Model, Iraqi Journal of Science, 65(3): 1502–1520.
G.H. Shakir and I.H. Al-Kanani, (2024). Study of new Exponential-Weibull distribution about children with Leukemia”, 4th International Conference on Pure Sciences: ICPS2023, 3036(1).
