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Volumn 26, Issue 3, 2011, Pages 299-316

Is bayes posterior just quick and dirty confidence?

Author keywords

Bayes; Bayes error rate; Confidence; Default prior; Evaluating a prior; Nonlinear parameter; Posterior; Prior

Indexed keywords


EID: 82655179897     PISSN: 08834237     EISSN: None     Source Type: Journal    
DOI: 10.1214/11-STS352     Document Type: Article
Times cited : (93)

References (31)
  • 2
    • 20044384935 scopus 로고    scopus 로고
    • Computation of distribution functions from likelihood information near observed data
    • MR2146092
    • Andrews, D. F., Fraser, D. A. S. and Wong, A. C. M. (2005). Computation of distribution functions from likelihood information near observed data. J. Statist. Plann. Inference 134 180-193. MR2146092.
    • (2005) J. Statist. Plann. Inference , vol.134 , pp. 180-193
    • Andrews, D.F.1    Fraser, D.A.S.2    Wong, A.C.M.3
  • 3
    • 0001185873 scopus 로고
    • An essay towards solving a problem in the doctrine of chances
    • 296-325
    • Bayes, T. (1763). An essay towards solving a problem in the doctrine of chances. Philos. Trans. R. Soc. Lond. 53 370-418; 54 296-325.
    • (1763) Philos. Trans. R. Soc. Lond. , vol.53-54 , pp. 370-418
    • Bayes, T.1
  • 4
    • 0002096055 scopus 로고
    • Reprinted in
    • Reprinted in Biometrika 45 (1958) 293-315.
    • (1958) Biometrika , vol.45 , pp. 293-315
  • 5
    • 49449111774 scopus 로고    scopus 로고
    • Higher accuracy for Bayesian and frequentist inference: Large sample theory for small sample likelihood
    • MR2416807
    • BéDard, M., Fraser, D. A. S. and Wong, A. (2007). Higher accuracy for Bayesian and frequentist inference: Large sample theory for small sample likelihood. Statist. Sci. 22 301-321. MR2416807.
    • (2007) Statist. Sci. , vol.22 , pp. 301-321
    • Bédard, M.1    Fraser, D.A.S.2    Wong, A.3
  • 6
    • 0002183088 scopus 로고
    • Reference posterior distributions for Bayesian inference (with discussion)
    • MR0547240
    • Bernardo, J.-M. (1979). Reference posterior distributions for Bayesian inference (with discussion). J. Roy. Statist. Soc. Ser. B 41 113-147. MR0547240.
    • (1979) J. Roy. Statist. Soc. Ser. B , vol.41 , pp. 113-147
    • Bernardo, J.-M.1
  • 8
    • 0000133998 scopus 로고
    • An analysis of transformations (with discussion)
    • MR0192611
    • Box, G. E. P. and Cox, D. R. (1964). An analysis of transformations (with discussion). J. Roy. Statist. Soc. Ser. B 26 211-252. MR0192611.
    • (1964) J. Roy. Statist. Soc. Ser. B , vol.26 , pp. 211-252
    • Box, G.E.P.1    Cox, D.R.2
  • 9
    • 0032011338 scopus 로고    scopus 로고
    • Likelihood centered asymptotic model: Exponential and location model versions
    • MR1614476
    • Cakmak, S., Fraser, D. A. S., Mcdunnough, P., Reid, N. and Yuan, X. (1998). Likelihood centered asymptotic model: Exponential and location model versions. J. Statist. Plann. Inference 66 211-222. MR1614476.
    • (1998) J. Statist. Plann. Inference , vol.66 , pp. 211-222
    • Cakmak, S.1    Fraser, D.A.S.2    Mcdunnough, P.3    Reid, N.4    Yuan, X.5
  • 10
    • 0000665540 scopus 로고
    • Some problems connected with statistical inference
    • MR0094890
    • Cox, D. R. (1958). Some problems connected with statistical inference. Ann. Math. Statist. 29 357-372. MR0094890.
    • (1958) Ann. Math. Statist. , vol.29 , pp. 357-372
    • Cox, D.R.1
  • 11
    • 0009126918 scopus 로고
    • Marginalization paradoxes in Bayesian and structural inference (with discussion)
    • MR0365805
    • Dawid, A. P., Stone, M. and Zidek, J. V. (1973). Marginalization paradoxes in Bayesian and structural inference (with discussion). J. Roy. Statist. Soc. Ser. B 35 189-233. MR0365805.
    • (1973) J. Roy. Statist. Soc. Ser. B , vol.35 , pp. 189-233
    • Dawid, A.P.1    Stone, M.2    Zidek, J.V.3
  • 13
  • 14
    • 0000186592 scopus 로고
    • The fiducial argument in statistical inference
    • Fisher, R. A. (1935). The fiducial argument in statistical inference. Ann. Eugenics B 391-398.
    • (1935) Ann. Eugenics B , pp. 391-398
    • Fisher, R.A.1
  • 15
    • 80052706298 scopus 로고    scopus 로고
    • Parameter curvature revisited and the Bayesian frequentist divergence
    • Fraser, A. M. Fraser, D. A. S. and Fraser, M. J. (2010a). Parameter curvature revisited and the Bayesian frequentist divergence. J. Statist. Res. 44 335-346.
    • (2010) J. Statist. Res. , vol.44 , pp. 335-346
    • Fraser, A.M.1    Fraser, D.A.S.2    Fraser, M.J.3
  • 16
    • 79251581581 scopus 로고    scopus 로고
    • Second order ancillary: A differential view with continuity
    • Fraser, A. M., Fraser, D. A. S. and Staicu, A. M. (2010c). Second order ancillary: A differential view with continuity. Bernoulli 16 1208-1223.
    • (2010) Bernoulli , vol.16 , pp. 1208-1223
    • Fraser, A.M.1    Fraser, D.A.S.2    Staicu, A.M.3
  • 17
    • 14544284453 scopus 로고
    • Some remarks on conditional and unconditional inference for location-scale models
    • MR0639293
    • Fraser, D. A. S. Andmcdunnough, P. (1980). Some remarks on conditional and unconditional inference for location-scale models. Statist. Hefte (N.F.) 21 224-231. MR0639293.
    • (1980) Statist. Hefte (N.F.) , vol.21 , pp. 224-231
    • Fraser, D.A.S.1    Andmcdunnough, P.2
  • 18
    • 1642319615 scopus 로고    scopus 로고
    • Setting confidence intervals for bounded parameters: A different perspective
    • Fraser, D. A. S., Reid, N. Andwong, A. (2004). Setting confidence intervals for bounded parameters: A different perspective. Phys. Rev. D 69 033002.
    • (2004) Phys. Rev. D , vol.69 , pp. 033002
    • Fraser, D.A.S.1    Reid, N.2    Andwong, A.3
  • 20
    • 84894129275 scopus 로고    scopus 로고
    • The Bayesian approach to setting limits: What to avoid?
    • (L. Lyons and Ü. M. Karagöz, eds.), Imperial College Press, London, MR2270215
    • Heinrich, J. (2006). The Bayesian approach to setting limits: What to avoid? In Statistical Problems in Particle Physics, Astrophysics and Cosmology (L. Lyons and Ü. M. Karagöz, eds.) 98-102. Imperial College Press, London. MR2270215.
    • (2006) Statistical Problems in Particle Physics, Astrophysics and Cosmology , pp. 98-102
    • Heinrich, J.1
  • 22
    • 84873751778 scopus 로고
    • An invariant form for the prior probability in estimation problems
    • MR0017504
    • Jeffreys, H. (1946). An invariant form for the prior probability in estimation problems. Proc. Roy. Soc. London. Ser. A 186 453-461. MR0017504.
    • (1946) Proc. Roy. Soc. London. Ser. A , vol.186 , pp. 453-461
    • Jeffreys, H.1
  • 23
    • 0009234989 scopus 로고
    • Fiducial distributions and Bayes' theorem
    • MR0095550
    • Lindley, D. V. (1958). Fiducial distributions and Bayes' theorem. J. Roy. Statist. Soc. Ser. B 20 102-107. MR0095550.
    • (1958) J. Roy. Statist. Soc. Ser. B , vol.20 , pp. 102-107
    • Lindley, D.V.1
  • 24
    • 0041419382 scopus 로고    scopus 로고
    • Setting confidence intervals for bounded parameters
    • MR1939335
    • Mandelkern, M. (2002). Setting confidence intervals for bounded parameters. Statist. Sci. 17 149-172. MR1939335.
    • (2002) Statist. Sci. , vol.17 , pp. 149-172
    • Mandelkern, M.1
  • 25
    • 0000679487 scopus 로고
    • Outline of a theory of statistical estimation based on the classical theory of probability
    • Neyman, J. (1937). Outline of a theory of statistical estimation based on the classical theory of probability. Philos. Trans. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 237 333-380.
    • (1937) Philos. Trans. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. , vol.237 , pp. 333-380
    • Neyman, J.1
  • 26
    • 82655175849 scopus 로고    scopus 로고
    • Likelihood inference in the presence of nuisance parameters
    • (L. Lyons, R. Mount and R. Reitmeyer, eds.), SLAC E-Conf C030908
    • Reid, N. and Fraser, D. A. S. (2003). Likelihood inference in the presence of nuisance parameters. In Proceedings of Phystat2003 (L. Lyons, R. Mount and R. Reitmeyer, eds.) 265-271. Slac E-Conf C030908.
    • (2003) Proceedings of PHYSTAT2003 , pp. 265-271
    • Reid, N.1    Fraser, D.A.S.2
  • 28
    • 82655167291 scopus 로고    scopus 로고
    • Gambling on tomorrow. Modelling the Earth's climate mathematically is hard already. Now a new difficulty is emerging
    • See also, August 18
    • See also: Gambling on tomorrow. Modelling the Earth's climate mathematically is hard already. Now a new difficulty is emerging. Economist August 18 (2007) 69.
    • (2007) Economist , pp. 69
  • 29
    • 0034360396 scopus 로고    scopus 로고
    • Asymptotic inference for mixture models using data-dependent priors
    • MR1747402
    • Wasserman, L. (2000). Asymptotic inference for mixture models using data-dependent priors. J. R. Stat. Soc. Ser. B Stat. Methodol. 62 159-180. MR1747402.
    • (2000) J. R. Stat. Soc. Ser. B Stat. Methodol. , vol.62 , pp. 159-180
    • Wasserman, L.1
  • 30
    • 0034343429 scopus 로고    scopus 로고
    • The problem of low counts in a signal plus noise model
    • MR1835031
    • Woodroofe, M. and Wang, H. (2000). The problem of low counts in a signal plus noise model. Ann. Statist. 28 1561-1569. MR1835031.
    • (2000) Ann. Statist. , vol.28 , pp. 1561-1569
    • Woodroofe, M.1    Wang, H.2
  • 31
    • 0038578414 scopus 로고    scopus 로고
    • Credible and confidence sets for restricted parameter spaces
    • MR1985880
    • Zhang, T. and Woodroofe, M. (2003). Credible and confidence sets for restricted parameter spaces. J. Statist. Plann. Inference 115 479-490. MR1985880.
    • (2003) J. Statist. Plann. Inference , vol.115 , pp. 479-490
    • Zhang, T.1    Woodroofe, M.2


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