Bayesian Analysis for the Poly-Weibull Distribution

References

• Arnell , N. W. and Gabriele , S. 1988 . “The Performance of the Two-Component Extreme Value Distribution in Regional Flood Frequency Analysis,” . Water Resources Research , 24 : 879 – 887 .
   Web of Science ®Google Scholar
• Basu , A. and Klein , J. 1982 . “Some Recent Development in Competing Risks Theory,” . In Survival Analysis , Edited by: Crowley , J. and Johnson , R. A. 216 – 229 . Hayward , CA : IMS .
   Google Scholar
• Beety , C. P. 1982 . “Analysis of Carbon Fibre Strength Distributions Exhibiting Multiple Modes of Failures,” . Fibre Science and Technology , 16 : 45 – 59 .
   Google Scholar
• Berger , J. O. 1985 . Statistical Decision Theory and Bayesian Analysis, , 2nd ed. , New York : Springer-Verlag .
   Google Scholar
• Casella , G. and George , E. I. 1992 . “Explaining the Gibbs Sampler,” . The American Statistician , 46 : 167 – 174 .
   Web of Science ®Google Scholar
• Cox , D. R. 1959 . “The Analysis of Exponentially Distributed Lifetimes With Two Types of Failures,” . Journal of the Royal Statistical Society , 21 : 411 – 421 . Ser. B
   Google Scholar
• Chuck , L. , Goodrich , S. M. , Hecht , N. L. and Dale , E. M. 1990 . “High-Temperature Tensile Strength and Tensile Stress Rupture Behavior of Norton/TRW NT-154 Silcon Nitride,” . Ceramic Engineering and Science Proceeding , 11 : 1007 – 1027 .
   Google Scholar
• David , H. A. and Moeschberger , M. L. 1978 . The Theory of Competing Risks , London : Charles W. Griffin . (Griffin's Statistical Monographs & Courses No. 39)
   Google Scholar
• Devroye , L. 1986 . Nonuniform Random Variate Generation , New York : Springer-Verlag .
   Google Scholar
• Gelfand , A. E. and Smith , A. F. M. 1990 . “Sampling Based Approaches to Calculating Marginal Densities,” . Journal of the American Statistical Association , 85 : 398 – 409 .
   Web of Science ®Google Scholar
• German , S. and German , A. 1984 . Stochastic Relaxation, Gibbs Distributions and the Bayesian Restoration of Images,” . IEEE Transactions on Pattern Analysis and Machine Intelligence , 6 : 721 – 740 .
   PubMed Web of Science ®Google Scholar
• Gilks , W. R. and Wild , P. 1992 . “Adaptive Rejection Sampling for Gibbs Sampling,” . Applied Statistics , 41 : 337 – 348 .
   Web of Science ®Google Scholar
• Elandt-Johnson , R. C. and Johnson , N. L. 1980 . Survival Models and Data Analysis , New York : John Wiley .
   Google Scholar
• Fiorentino , M. , Versace , P. and Rossi , F. 1985 . “Regional Rood Frequency Estimation Using the Two-Component Extreme Value Distribution,” . Hydrological Sciences Journal , 30 : 51 – 60 .
   Web of Science ®Google Scholar
• Geweke , J. 1992 . “Evaluating the Accuracy of Sampling-Based Approaches to the Calculation of Posterior Moments,” . In Bayesian Statistics , Edited by: Bernardo , J. M. Vol. 4 , 169 – 193 . London : Oxford University Press .
   Google Scholar
• Hjorth , U. 1980 . “A Reliability Distribution with Increasing, Decreasing, Constant, and Bathtub-Shaped Failure Rates,” . Technometrics , 22 : 99 – 107 .
   Web of Science ®Google Scholar
• Martz , H. F. and Waller , R. A. 1982 . Bayesian Reliability Analysis , New York : John Wiley .
   Google Scholar
• Mendenhall , W. and Hadel , R. J. 1958 . “Estimation of Parameters of Mixed Exponentially Distributed Failure Time Distributions from Censored Life Test Data,” . Biometrika , 45 : 504 – 520 .
   Web of Science ®Google Scholar
• Own , S. H. , Subramanian , R. V. and Saunders , S. C. 1986 . “A Bimedal Lognormal Model of the Distribution of Strength of Carbon Fibres: Effects of Electrodeposition of Titanium DI (Dioctyl Pyrophosphate) Oxyacetate,” . Journal of Materials Science , 21 : 3,912 – 3,920 .
   Web of Science ®Google Scholar
• Prentice , R. L. 1975 . “Discrimination Among Some Parametric Models,” . Biometrika , 62 : 607 – 614 .
   Web of Science ®Google Scholar
• Raftery , A. E. and Lewis , S. M. 1992 . “How Many Iterations in the Gibbs Sampler?,” . In Bayesian Statistics , Edited by: Bernardo , J. M. Vol. 4 , 763 – 773 . London : Oxford University Press .
   Google Scholar
• Rajarshi , S. and Rajarshi , M. B. 1988 . “Bathtub Distribution: A Review,” . Communications in Statistics, Part A—Theory and Methods , 17 : 2,597 – 2,621 .
   Web of Science ®Google Scholar
• Ritter , C. and Tanner , M. A. 1992 . “Facilitating the Gibbs Sampler: The Gibbs Stopper and the Griddy-Gibbs Sampler,” . Journal of the American Statistical Association , 87 : 861 – 868 .
   Web of Science ®Google Scholar
• Roberts , G. O. 1992 . “Convergence Diagnostics for the Gibbs Sampler,” . In Bayesian Statistics , Edited by: Bernardo , J. M. Vol. 4 , 775 – 782 . London : Oxford University Press .
   Google Scholar
• Stacy , E. W. 1982 . “A Generalization of the Gamma Distribution,” . The Annals of Statistics , 33 : 1,187 – 1,192 .
   Web of Science ®Google Scholar
• Sun , D. and Berger , J. O. 1993 . “Recent Developments in Bayesian Sequential Reliability Demonstration Tests,” . In Advances in Reliability , Edited by: Basu , A. 379 – 393 . Amsterdam : North-Holland .
   Google Scholar