Prediction of Progressive Censored Data from the Gompertz Model

References

• Aggarwala , R. and Balakrishnan , N. 1996 . Recurrence relations for single and product moments of progressive type-II right censored order statistics from exponential and truncated exponential distributions . Ann. Inst. Statist. Math. , 48 ( 4 ) : 757 – 771 .
   Google Scholar
• Aggarwala , R. and Balakrishnan , N. 1998a . Some properties of progressive censored order statistics from arbitrary and uniform distributions with applications to inference and simulation . J. Statist. Plain. Inference , 70 : 35 – 49 .
   Google Scholar
• Aggarwala , R. and Balakrishnan , N. 1998b . “ Progressive Censored Samples ” . In Statistics for Industry and Technology Series Springer Verlag .
   Google Scholar
• Aitchison , J. and Dunsmore , I. R. 1975 . Statistical Prediction Analysis Cambridge University Press .
   Google Scholar
• AL-Hussaini , E. K. , Al-Dayian , G. R. and Adham , S. A. 2000 . On finite mixture of two-component Gompertz lifetime model . J. Statist. Comput. Simul. , 67 ( 1 ) : 1 – 15 .
   Google Scholar
• Ali Mousa , M. A. M. and Jaheen , Z. F. 2002 . Statistical inference for the Burr model based on progressively censored data . Computers and Mathematics with Applications , 43 ( 10 ) : 10 – 11 . 1441–1449
   Google Scholar
• Arnold , B. C. , Balakrishnan , N. and Nagaraja , H. N. 1992 . A First Course in Order Statistics New York : John Wiley and Sons, Inc. .
   Google Scholar
• Balakrishnan , N. and Sandhu , R. A. 1995 . A simple simulation algorithm for generating progressive type-II censored samples . American Statistician , 49 ( 2 ) : 229 – 230 .
   Google Scholar
• Balakrishnan , N. and 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 .
   Google Scholar
• Bernardo , J. M. and Smith , A. F. M. 1994 . Bayesian Theory New York : Wiley .
   Google Scholar
• Dunsmore , I. R. 1974 . The Bayesian predictive distribution in life testing models . Technometrics , 16 : 455 – 460 .
   Google Scholar
• Garg , M. L. , Raja Rao , B. and Redmond , K. 1970 . Maximum likelihood estimation of the parameters of the Gompertz survival function . J. Roy. Statist. Soc., Ser. Appl. Statist , 19 : 152 – 159 .
   Google Scholar
• Geisser , S. 1993 . Predictive Inference: An Introduction Chapman and Hall .
   Google Scholar
• Gibbons , D. I. and Vance , L. C. 1983 . Estimators for the 2-parameter Weibull distribution with progressively censored samples . IEEE Transactions on Reliability , R-32 : 95 – 99 .
   Google Scholar
• Gompertz , B. 1825 . On the nature of the function expressive of the law of human mortality, and on a new model of determining the value of life contingencies . Philos. Trans. Roy. Soc. London , 115 : 513 – 585 .
   Google Scholar
• 1984 . IMSL Reference Manual Houston, TX : IMSL, Inc. .
   Google Scholar
• Johnson , N. L. , Kotz , S. and Balakrishnan , N. 1995 . Continuous Univariate Distributions , 2nd ed. Vol. 2 , New York : John Wiley and Sons, Inc. .
   Google Scholar
• Mann , N. R. 1971 . Best linear invariant estimation for Weibull parameter under progressive censoring . Technometrics , 13 : 521 – 534 .
   Google Scholar
• Maritz , J. L. and Lwin , T. 1989 . Empirical Bayes Methods. , 2nd ed. Chapman and Hall .
   Google Scholar
• Osman , M. I. 1987 . A New Model for Analyzing the Survival of Heterogenous Data USA. : Case Western Reserve University . Ph.D. thesis
   Google Scholar
• Waller , R. A. Waterman and M. S. 1978 . Percentiles for the gamma distribution . SIAM Review , 20 : 856
   Google Scholar