Statistical Science

Discussion of “Is Bayes Posterior just Quick and Dirty Confidence?” by D. A. S. Fraser

Kesar Singh and Minge Xie

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Article information

Source
Statist. Sci. Volume 26, Number 3 (2011), 319-321.

Dates
First available: 31 October 2011

Permanent link to this document
http://projecteuclid.org/euclid.ss/1320066920

Digital Object Identifier
doi:10.1214/11-STS352B

Mathematical Reviews number (MathSciNet)
MR2918003

Zentralblatt MATH identifier
06075174

Citation

Singh, Kesar; Xie, Minge. Discussion of “Is Bayes Posterior just Quick and Dirty Confidence?” by D. A. S. Fraser. Statistical Science 26 (2011), no. 3, 319--321. doi:10.1214/11-STS352B. http://projecteuclid.org/euclid.ss/1320066920.


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References

  • [1] Bayes, T. (1763). An essay towards solving a problem in the doctrine of chances. Phil. Trans. R. Soc. Lond. 53 370–418; 54 296–325. Reprinted in Biometrika 45 (1958), 293–315.
  • [2] Efron, B. (1998). R. A. Fisher in the 21st century (invited paper presented at the 1996 R. A. Fisher Lecture). Statist. Sci. 13 95–122. With comments and a rejoinder by the author.
  • [3] Fisher, R. A. (1930). Inverse probability. Proc. Cambridge Phil. Soc. 26 528–535.
  • [4] Hannig, J. (2009). On generalized fiducial inference. Statist. Sinica 19 491–544.
  • [5] Neyman, J. (1937). Outline of a theory of statistical estimation based on the classical theory of probability. Phil. Trans. R. Soc. Lond. Ser. A 237 333–380.
  • [6] Schweder, T. and Hjort, N. L. (2002). Confidence and likelihood. Scand. J. Statist. 29 309–332.
  • [7] Singh, K. and Xie, M. (2011). CD-posterior—Combining prior and data through confidence distributions. In Contemporary Developments in Bayesian Analysis and Statistical Decision Theory: A Festschrift for William E. Strawderman. IMS Collection 8 (D. Fourdrinier et al., eds.). To appear.
  • [8] Singh, K., Xie, M. and Strawderman, W. E. (2005). Combining information from independent sources through confidence distributions. Ann. Statist. 33 159–183.
  • [9] Singh, K., Xie, M. and Strawderman, W. E. (2007). Confidence distribution (CD)—Distribution estimator of a parameter. In Complex Datasets and Inverse Problems. Institute of Mathematical Statistics Lecture Notes—Monograph Series 54 132–150. IMS, Beachwood, OH.
  • [10] Xie, M., Liu, R. Y., Damaraju, C. V. and Olson, W. H. (2009). Incorporating external information in analyses of clinical trials with binary outcomes. Technical report, Dept. Statistics, Rutgers Univ., Piscataway, NJ. Revised 2010 and 2011.
  • [11] Xie, M. and Singh, K. (2011). Confidence distribution, the frequentist distribution estimator of a parameter—A Review. International Statistical Reviews. To appear.
  • [12] Xie, M., Singh, K. and Strawderman, W. E. (2011). Confidence distributions and a unified framework for meta-analysis. J. Amer. Statist. Assoc. 106 320–333.
  • [13] Zabell, S. L. (1992). R. A. Fisher and the fiducial argument. Statist. Sci. 7 369–387.

See also

  • Main article: Is Bayes Posterior just Quick and Dirty Confidence?.