Discussion of “Is Bayes Posterior just Quick and Dirty Confidence?” by D. A. S. Fraser
Kesar Singh and Minge Xie
Source: Statist. Sci. Volume 26, Number 3
(2011), 319-321.
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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
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.
Mathematical Reviews (MathSciNet): MR1647499
Digital Object Identifier: doi:10.1214/ss/1028905930
Project Euclid: euclid.ss/1028905930
[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.
Mathematical Reviews (MathSciNet): MR2514173
Zentralblatt MATH: 1168.62004
[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.
Mathematical Reviews (MathSciNet): MR1909788
Digital Object Identifier: doi:10.1111/1467-9469.00285
[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.
Mathematical Reviews (MathSciNet): MR2157800
Zentralblatt MATH: 1064.62003
Digital Object Identifier: doi:10.1214/009053604000001084
Project Euclid: euclid.aos/1112967703
[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.
Mathematical Reviews (MathSciNet): MR2459184
Digital Object Identifier: doi:10.1214/074921707000000102
[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.
Mathematical Reviews (MathSciNet): MR2816724
Digital Object Identifier: doi:10.1198/jasa.2011.tm09803
[13] Zabell, S. L. (1992). R. A. Fisher and the fiducial argument. Statist. Sci. 7 369–387.
Mathematical Reviews (MathSciNet): MR1181418
Digital Object Identifier: doi:10.1214/ss/1177011233
Project Euclid: euclid.ss/1177011233
