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Statistics
A Journal of Theoretical and Applied Statistics
Volume 46, 2012 - Issue 6
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Original Articles

Bayesian prediction based on type-I censored data from a mixture of Burr type XII distribution and its reciprocal

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Pages 787-797 | Received 12 Apr 2010, Accepted 13 Jan 2011, Published online: 30 Mar 2011

References

  • Everitt , B. S. and Hand , D. J. 1981 . Finite Mixture Distributions , London : Chapman and Hall .
  • Titterington , D. M. , Smith , A. F.M. and Makov , U. E. 1985 . Statistical Analysis of Finite Mixture Distributions , New York : Wiley .
  • McLachlan , G. J. and Basford , K. E. 1988 . Mixture Models: Inferences and Applications to Clustering , New York : Marcel Dekker .
  • Aitchison , J. and Dunsmore , I. R. 1975 . Statistical Prediction Analysis , Cambridge : Cambridge University Press .
  • Geisser , S. 1993 . Predictive Inference: An Introduction , London : Chapman and Hall .
  • AL-Hussaini , E. K. 2003 . Bayesian predictive density of order statistics based on finite mixture models . J. Statist. Plann. Inference , 113 : 15 – 24 .
  • Jaheen , Z. F. 2003 . Bayesian prediction under a mixture of two-component Gompertz lifetime model . Test , 12 ( 2 ) : 413 – 426 .
  • Ahmad , K. E. , Jaheen , Z. F. and Mohammed , H. S. 2011 . Finite mixture of Burr type XII distribution and its reciprocal: Properties and applications . Statist. Papers , to appear
  • Ahmad , K. E. , Jaheen , Z. F. and Mohammed , H. S. 2011 . Bayesian estimation under a mixture of Burr type XII distribution and its reciprocal . J. Statist. Comput. Simul. , to appear
  • Mendenhall , W. and Hader , R. J. 1958 . Estimation of parameters of mixed exponentially distributed failure time distributions from censored life test data . Biometrika , 45 : 504 – 520 .
  • David , H. A. 1981 . Order Statistics , 2 , New York : Wiley .
  • Rubinstein , R. Y. and Kroese , D. P. 2008 . Simulation and the Monte Carlo Method , 2 , New York : Wiley .
  • Eberly , L. E. and Casella , G. 2003 . Estimating Bayesian credible intervals . J. Statist. Plann. Inference , 112 : 115 – 132 .
  • Bayarri , M. J. , Castellanos , M. E. and Morales , J. 2006 . MCMC methods to approximate conditional predictive distributions . J. Statist. Plann. Inference , 113 : 15 – 24 .
  • AL-Hussaini , E. K. and Jaheen , Z. F. 1992 . Bayesian estimation of the parameters, reliability and failure rate functions of the Burr type XII failure model . J. Statist. Comput. Simul. , 41 : 31 – 40 .
  • Arnold , B. C. , Balakrishnan , N. and Nagaraja , H. N. 1992 . First Course in Order Statistics , New York : Wiley .

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