Bayesian Estimators Using Record Statistics of Exponentiated Inverse Weibull Distribution
作者： Yong-Ku Kim , Jung-In Seo , Suk-Bok Kang
DOI: 10.5351/CKSS.2012.19.3.479
关键词:
摘要: The inverse Weibull distribution(IWD) is a complementary distribution and plays an important role in many application areas. In this paper, we develop Bayesian estimator the context of record statistics values from exponentiated distribution(EIWD). We obtained estimators through squared error loss function (quadratic loss) LINEX function. This done with respect to conjugate priors for shape scale parameters. results may be interest especially when only are stored.
koreascience.or.kr 参考文章(12)
M. Masoom Ali, Manisha Pal, Jung-Soo Woo, Some Exponentiated Distributions Communications for Statistical Applications and Methods. ,vol. 14, pp. 93- 109 ,(2007) , 10.5351/CKSS.2007.14.1.093
N. Balakrishnan, M. Ahsanullah, P.S. Chan, Relations for single and product moments of record values from Gumbel distribution Statistics & Probability Letters. ,vol. 15, pp. 223- 227 ,(1992) , 10.1016/0167-7152(92)90193-9
Richard M. Soland, Bayesian Analysis of the Weibull Process With Unknown Scale and Shape Parameters IEEE Transactions on Reliability. ,vol. 4, pp. 181- 184 ,(1969) , 10.1109/TR.1969.5216348
M.A.W. Mahmoud, K.S. Sultan, S.M. Amer, Order statistics from inverse Weibull distribution and associated inference Computational Statistics & Data Analysis. ,vol. 42, pp. 149- 163 ,(2003) , 10.1016/S0167-9473(02)00151-2
Arnold Zellner, Bayesian Estimation and Prediction Using Asymmetric Loss Functions Journal of the American Statistical Association. ,vol. 81, pp. 446- 451 ,(1986) , 10.1080/01621459.1986.10478289
M. Maswadah, Conditional confidence interval estimation for the inverse weibull distribution based on censored generalized order statistics Journal of Statistical Computation and Simulation. ,vol. 73, pp. 887- 898 ,(2003) , 10.1080/0094965031000099140
Ahmed A. Soliman, A.H. Abd Ellah, K.S. Sultan, Comparison of estimates using record statistics from Weibull model: Bayesian and non-Bayesian approaches Computational Statistics & Data Analysis. ,vol. 51, pp. 2065- 2077 ,(2006) , 10.1016/J.CSDA.2005.12.020
R. Calabria, G. Pulcini, Bayes 2-sample prediction for the inverse weibull distribution Communications in Statistics-theory and Methods. ,vol. 23, pp. 1811- 1824 ,(1994) , 10.1080/03610929408831356
Wayne Nelson, Applied life data analysis ,(1982)
Robert Dumonceaux, Charles E. Antle, Discrimination Between the Log-Normal and the Weibull Distributions Technometrics. ,vol. 15, pp. 923- 926 ,(1973) , 10.1080/00401706.1973.10489124