560
Views
14
CrossRef citations to date
0
Altmetric
Original Articles

Bayesian Survival Analysis of Head and Neck Cancer Data Using Lognormal Model

, , &
Pages 392-407 | Received 27 Aug 2010, Accepted 02 Feb 2012, Published online: 02 Jul 2013

References

  • Bernier , J. , Domenge , C. , et al. ( 2004 ). Postoperative irradiation with or without concomitant chemotherapy for locally advanced head and neck cancer . N. Engl. J. Med. 350 : 1945 – 1952 .
  • Blom , G. ( 1958 ). Statistical Estimates and Transformed Beta Variables . New York : Wiley .
  • Boag , J. W. ( 1949 ). Maximum likelihood estimates of the proportion of patients cured by cancer therapy . J. Roy. Statist. Soc. 11 : 15 – 44 .
  • Crow , E. L. , Shimizu , K. ( 1988 ). Lognormal Distributions: Theory and Applications . New York : Marcel Dekker .
  • Devroye , L. ( 1986 ). Non-Uniform Random Variate Generation . New York : Springer-Verlag .
  • Efron , B. ( 1988 ). Logistic regression, survival analysis, and the Kaplan-Meier curve . J. Amer. Statist. Assoc. 83 : 414 – 425 .
  • Flegal , J. M. , Haran , M. , Jones , G. L. ( 2008 ). Markov chain Monte Carlo: Can we trust the third significant figure? Statistical Science 23 : 250 – 260 .
  • Gelman , A. , Carlin , J. B. , Stern , H. S. , Rubin , D. B. (2003). Bayesian Data Analysis , 2nd ed. Boca Raton , FL : Chapman & Hall/CRC.
  • Gelman , A. , Meng , X. L. , Stern , H. S. ( 1996 ). Posterior predictive assessment of model fitness via realized discrepancies . Statistica Sinica 6 : 733 – 807 .
  • Gilks , W. R. , Wild , D. G. ( 1992 ). Adaptive rejection sampling for Gibbs sampling . Appl. Statist. 41 : 337 – 348 .
  • Goldthwaite , L. ( 1961 ). Failure rate study for the lognormal lifetime model. Proc. Seventh Nation. Symp. Reliab. Qual. Control 208–213 .
  • Jones , G. L. , Haran , M. , Caffo , B. S. , Neath , R. ( 2006 ). Fixed-width output analysis for Markov chain Monte Carlo . J. Amer. Statist. Assoc. 101 : 1537 – 1547 .
  • Kimball , B. F. ( 1960 ). On the choice of plotting positions on probability paper . J. Amer. Statist. Assoc. 55 : 546 – 560 .
  • Lawless , J. F. ( 2002 ). Statistical Models and Methods for Lifetime Data . New York : Wiley .
  • Mann , N. R. , Schafer , R. E. , Singpurwalla , N. D. ( 1974 ). Methods for Statistical Analysis of Reliability and Lifetime Data . New York : Wiley .
  • Martz , H. F. , Waller , R. A. ( 1982 ). Bayesian Reliability Analysis . New York : Wiley .
  • Parkin , D. M. , Bray , F. , Ferlay , J. , Pisani , P. ( 2001 ). Estimating the world cancer burden: Globocan 2000 . Int J. Cancer 94 : 153 – 156 .
  • Royston , P. ( 2001 ). The lognormal distribution as a model for survival time in cancer, with an emphasis on prognostic factors . Statistica Neerlandica 55 : 89 – 104 .
  • Singpurwalla , N. D. ( 2006 ). Reliability and Risk: A Bayesian Perspective . New York : Wiley .
  • Upadhyay , S. K. , Smith , A. F. M. ( 1994 ). Modelling complexity in reliability, and the role of simulation in Bayesian computation . Intern. J. Continuing Eng. Education 4 : 93 – 104 .
  • Upadhyay , S. K. , Vasishta , N. , Smith , A. F. M. ( 2001 ). Bayes inference in life testing and reliability via Markov chain Monte Carlo simulation. Sankhya, A 15–40 .
  • Upadhyay , S. K. , Peshwani , M. ( 2001 ). Full posterior analysis of three parameter lognormal distribution using gibbs sampler . J. Stat. Comput. Simulation 71 : 215 – 230 .
  • Upadhyay , S. K. , Peshwani , M. ( 2008 ). Posterior analysis of lognormal regression models using the Gibbs sampler . Statist. Papers 49 : 59 – 85 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.