Bayesian Prediction for Progressively Type-II Censored Data from the Rayleigh Model

References

• Aggarwala , R. ( 1996 ). Advances in Life Testing: Progressive Censoring and Generalized Distribution. Ph. D. thesis, McMaster University .
   Google Scholar
• Aggarwala , R. , Balakrishnan , N. ( 1996 ). Recurrence relation for single and product moments of progressive Type-II right censored order statistics from exponential and truncated exponential distribution . Ann. Inst. Statist. Math. 48 ( 4 ): 757 – 771 . [CSA]
   Web of Science ®Google Scholar
• Aggarwala , R. , Balakrishnan , N. ( 1998 ). Some properties of progressive censored order statistics from arbitrary and uniform distribution with application to inference and simulation . J. Statist. Plain Inference 70 : 35 – 49 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Ali Mousa , M. A. M. ( 2001 ). Inference and prediction for Pareto progressively censored data . J. Statist. Comput. Simul. 71 : 163 – 181 . [CSA]
   Web of Science ®Google Scholar
• Ali Mousa , M. A. M. , Jaheen , Z. F. ( 2002a ). Statistical inference for the Burr model based on progressively censored data . Computers and Mathematics with Applications 43 ( 10 ): 1441 – 1449 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Ali Mousa , M. A. M. , Jaheen , Z. F. ( 2002b ). Bayesian prediction for progressively censored data from the Burr model . Statistical Pap. 43 : 587 – 593 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Balakrishnan , N. , Sandhu , R. A. ( 1995 ). A simple simulation algorithm for generating progressive Type-II censored samples . Amer. Statistician 49 ( 2 ): 229 – 230 . [CSA]
   Web of Science ®Google Scholar
• Balakrishnan , N. , Sandhu , R. A. ( 1996 ). Best linear unbiased and maximum likelihood estimation for exponential distributions under general progressive Type-II censored samples . Sankhya B 58: 1 – 9 . [CSA]
   Google Scholar
• Balakrishnan , N. , Aggarwala , R. ( 2000 ). Progressive Censoring: Theory, Methods and Applications . Boston : Birkhauser .
   Google Scholar
• Balakrishnan , N. , Cramer , E. , Kamps , U. ( 2001 ). Bounds for means and variances of progressive Type-II censored order statistics . Statist. Probab. Lett. 54 : 301 – 315 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Cacciari , M. , Motanari , G. C. ( 1987 ). A method to estimate the Weibull parameters for progressively censored tests . IEEE Trans. Reliabil. R-36: 87 – 93 . [CSA]
   Web of Science ®Google Scholar
• Cohen , A. C. ( 1976 ). Progressively censored sampling in the three parameter log-normal distribution . Technometrics 18 : 99 – 103 . [CSA]
   Web of Science ®Google Scholar
• Cramer , E. , Kamps , U. ( 1996 ). Sequential order statistics and k-out-of-n systems with sequentially adjusted failure rates . Ann. Inst. Statist. Math. 48 : 535 – 549 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Cramer , E. , Kamps , U. ( 1998 ). Sequential k-out-of-n systems with Weibull components . Econom Qual. Control 13 : 227 – 239 . [CSA]
   Google Scholar
• Dyer , D. D. , Whisenand . ( 1973 ). Best linear unbiased estimatior of the parameter of the Rayleigh distribution . IEEE Trans. Reliabil. R-22:27–34, 455 – 466 . [CSA]
   Web of Science ®Google Scholar
• Fernandez , A. J. (2000). Bayesian inference from Type-II doubly censored Rayleigh data. Statist. Probabil. Lett. 48:393–399. [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Gibbons , D. I. , Vance , L. C. ( 1983 ). Estimators for the 2-parameter Weibull distribution with progressively censored samples . IEEE Trans. Reliabil. R-32: 95 – 99 . [CSA]
   Web of Science ®Google Scholar
• Howlader , H. A. ( 1985 ). HPD prediction intervals for Rayleigh distribution . IEEE Trans. Reliabil. R-34 : 121 – 123 . [CSA]
   Web of Science ®Google Scholar
• Howlader , H. A. , Hossain , A. ( 1995 ). On Bayesian estimation and prediction from Rayleigh based on Type-II censored data . Commun. Statist. Theor. Meth 24 ( 9 ): 2249 – 2259 . [CSA]
   Web of Science ®Google Scholar
• Kamps , U. , Cramer , E. ( 2001 ). On distributions of generalized order statistics . Statistics 35 : 269 – 280 . [CSA]
   Web of Science ®Google Scholar
• Mann , N. R. ( 1971 ). Best linear invariant estimation for Weibull parameters under progressive censoring . Technometrics 13 : 521 – 435 . [CSA]
   Web of Science ®Google Scholar
• Miller , K. , Sackrowitz , H. ( 1967 ). Relationships between biased and unbiased rayleigh distribution . Siam J. Appl. Math. 15 : 1409 – 1495 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Montanari , G. C. , Cacciari , M. ( 1988 ). Progressively-censored aging tests on XLPE-insulated cable models . IEEE Trans. Electrical Insulation 23 : 365 – 372 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Polovko , A. M. ( 1968 ). Fundamentals of Reliability Theory . Academic Press .
   Google Scholar
• Raqab , M. Z. ( 1996 ). Linear predictors of future order statistics . Commun. Statist. Theor. Meth. 25 : 1553 – 1568 . [CSA]
   Web of Science ®Google Scholar
• Raqab , M. Z. ( 1997 ). Modified maximum likelihood predictors of future order statistics from normal samples . Computat. Statist. Data Anal. 25 : 91 – 106 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Raqab , M. Z. , Madi , M. T. ( 2002 ). Bayesian prediction of the total time on test using doubly censored Rayleigh/Data . J. Statist. Comput. Simul. 72 : 781 – 789 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Siddiqui , M. M. ( 1962 ). Some problems connecter with Rayleigh distribution . J. Res. Nat. Bur. Stand. D 66D: 167 – 174 . [CSA]
   Google Scholar
• Viveros , R. , Balakrishnan , N. ( 1994 ). Interval estimation of life charateristics from progressively censored data . Technometrics 36 : 84 – 91 . [CSA]
   Web of Science ®Google Scholar