On Best Estimation for Parameter Weibull Distribution

The objective of this study is to introduce estimators to the parameters and survival function for Weibull distribution using three different methods, Maximum Likelihood estimation, Standard Bayes estimation and Modified Bayes estimation. We will then compared the three methods using simulation study to find the best one base on MPE and MSE.

• Hadeel Salim Alkutubi

• Maximum Likelihood estimation
• Bayes estimation
• Jeffery prior information
• Simulation study

[1] AlBayyati H. N. "Comparing methods of estimating Weibull failure models using simulation". Ph.D. thesis, College of Administration and Economics, Baghdad University, Iraq. 2002.
[2] AlKutubi H. S. "On Comparison estimation procedures for parameter and survival function exponential distribution using simulation". Ph.D. thesis, College of Ibn Al-Hatham, Baghdad University, Iraq. 2005.
[3] AlKutubi H. S. "Bayes estimator for exponential distribution with extension of Jeffery prior information" Malaysia journal of mathematical science. Malaysia. 3(2): 297-313.2009.
[4] Ellis W. C. and Rao T. V. "Minimum expected loss estimators of the shape and scale parameters of Weibull distribution" IEE Transaction on Reliability, vol. 35, no. 2.1986.
[5] Felsenstein K. "Bayesian inference for questionable data" Austrian Journal of Statistic, vol. 31, no. 2.2002.
[6] Sinha S. K. and Sloan J. A. "Bayes estimation of the parameters and reliability function of the 3-parameters Weibull distribution" IEEE Transaction on reliability, vol. 37, no. 4. 1988.