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Volumn 24, Issue 1, 1996, Pages 174-195

Local sensitivity of posterior expectations

Author keywords

Classes of probabilities; Fr chet derivative; Jeffreys' prior; Lp norm; Local sensitivity; Robustness

Indexed keywords


EID: 0030538420     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1033066205     Document Type: Article
Times cited : (32)

References (34)
  • 1
    • 0039192372 scopus 로고
    • Local posterior robustness with parametric priors: Maximum and average sensitivity
    • (G. Heidbreder, ed.) Kluwer, Dordecht
    • BASU, S., JAMMALAMADAKA, S. R. and LIU, W. (1993). Local posterior robustness with parametric priors: maximum and average sensitivity. In Maximum Entropy and Bayesian Methods (G. Heidbreder, ed.) Kluwer, Dordecht.
    • (1993) Maximum Entropy and Bayesian Methods
    • Basu, S.1    Jammalamadaka, S.R.2    Liu, W.3
  • 2
    • 0040707719 scopus 로고
    • On the consistency of Bayes estimates
    • by P. Diaconis and D.
    • BERGER, J. O. (1986). Comment on "On the consistency of Bayes estimates" by P. Diaconis and D. Freedman Ann. Statist. 14 30-37.
    • (1986) Freedman Ann. Statist. , vol.14 , pp. 30-37
    • Berger, J.O.1
  • 3
    • 38249019651 scopus 로고
    • Robust Bayesian analysis: Sensitivity to the prior
    • BERGER, J. O. (1990). Robust Bayesian analysis: sensitivity to the prior. J. Statist. Plann. Inference 25 303-328.
    • (1990) J. Statist. Plann. Inference , vol.25 , pp. 303-328
    • Berger, J.O.1
  • 4
    • 0000083758 scopus 로고
    • Recent methodological advances in robust Bayesian inference
    • by L. Wasserman. J. M. Bernando, J. O. Berger, A. P. Dawid, and A. F. M. Smith, eds. Oxford Univ. Press
    • BERGER, J. O. (1992). Comment on "Recent methodological advances in robust Bayesian inference" by L. Wasserman. In Bayesian Statistics 4 (J. M. Bernando, J. O. Berger, A. P. Dawid, and A. F. M. Smith, eds.) 495-496. Oxford Univ. Press.
    • (1992) Bayesian Statistics , vol.4 , pp. 495-496
    • Berger, J.O.1
  • 5
    • 51649134515 scopus 로고
    • An overview of robust Bayesian analysis
    • BERGER, J. O. (1994). An overview of robust Bayesian analysis (with discussion). Test 3 5-124.
    • (1994) Test , vol.3 , pp. 5-124
    • Berger, J.O.1
  • 6
    • 0000540568 scopus 로고
    • Robust Bayes and empirical Bayes analysis with ε-contaminated priors
    • BERGER, J. O. and BERLINER, L. M. (1986). Robust Bayes and empirical Bayes analysis with ε-contaminated priors. Ann. Statist. 14 461-486.
    • (1986) Ann. Statist. , vol.14 , pp. 461-486
    • Berger, J.O.1    Berliner, L.M.2
  • 7
    • 0001330334 scopus 로고
    • On asymptotic normality of limiting density functions with Bayesian implications
    • CHEN, C. F. (1985). On asymptotic normality of limiting density functions with Bayesian implications. J. Roy. Statist. Soc. Ser. B 47 540-546.
    • (1985) J. Roy. Statist. Soc. Ser. B , vol.47 , pp. 540-546
    • Chen, C.F.1
  • 8
    • 0004152507 scopus 로고
    • On a general definition of concentration function
    • CIFARELLI, D. M. and REGAZZINI, E. (1987). On a general definition of concentration function. Sankyā Ser. B 49 307-319.
    • (1987) Sankyā Ser. B , vol.49 , pp. 307-319
    • Cifarelli, D.M.1    Regazzini, E.2
  • 9
    • 0002138061 scopus 로고
    • Jeffreys' prior is asymptotically least favourable under entropy risk
    • CLARKE, B. S. and BARRON, A. R. (1994). Jeffreys' prior is asymptotically least favourable under entropy risk. J. Statist. Plann. Inference 41 37-60.
    • (1994) J. Statist. Plann. Inference , vol.41 , pp. 37-60
    • Clarke, B.S.1    Barron, A.R.2
  • 10
    • 0000089878 scopus 로고
    • On differentiability properties of Bayes operators
    • J. M. Bernardo, M. H. DeGroot, D. V. Lindley and A. F. M. Smith, eds. Oxford Univ. Press
    • CUEVAS, A. and SANZ, P. (1988). On differentiability properties of Bayes operators. In Bayesian Statistics 3 (J. M. Bernardo, M. H. DeGroot, D. V. Lindley and A. F. M. Smith, eds.) 569-577. Oxford Univ. Press.
    • (1988) Bayesian Statistics , vol.3 , pp. 569-577
    • Cuevas, A.1    Sanz, P.2
  • 11
    • 38149148157 scopus 로고
    • Bayesian robustness for multiparameter problems
    • DELAMPADY, M. and DEY, D. (1994). Bayesian robustness for multiparameter problems. J. Statist. Plann. Inference 40 375-382.
    • (1994) J. Statist. Plann. Inference , vol.40 , pp. 375-382
    • Delampady, M.1    Dey, D.2
  • 13
    • 0000744735 scopus 로고
    • Bayesian inference using intervals of measures
    • DEROBERTIS, L. and HARTIGAN, J. (1981). Bayesian inference using intervals of measures. Ann. Statist. 9 235-244.
    • (1981) Ann. Statist. , vol.9 , pp. 235-244
    • Derobertis, L.1    Hartigan, J.2
  • 14
    • 0039522402 scopus 로고
    • Robust Bayesian analysis using entropy and divergence measures
    • DEY, D. and BIRMIWAL, L. R. (1994). Robust Bayesian analysis using entropy and divergence measures. Statist. Probab. Lett. 20 287-294.
    • (1994) Statist. Probab. Lett. , vol.20 , pp. 287-294
    • Dey, D.1    Birmiwal, L.R.2
  • 15
    • 0003171807 scopus 로고
    • On the consistency of Bayes estimates
    • DIACONIS, P. and FREEDMAN, D. (1986). On the consistency of Bayes estimates (with discussion). Ann. Statist. 14 1-67.
    • (1986) Ann. Statist. , vol.14 , pp. 1-67
    • Diaconis, P.1    Freedman, D.2
  • 16
    • 0011675912 scopus 로고
    • On Bayesian robustness of contaminated classes of priors
    • GELFAND, A. and DEY, D. (1991). On Bayesian robustness of contaminated classes of priors. Statist. Decisions 9 63-80.
    • (1991) Statist. Decisions , vol.9 , pp. 63-80
    • Gelfand, A.1    Dey, D.2
  • 17
    • 0039522403 scopus 로고
    • What is the use of a distribution?
    • P. R. Krishnaiah, ed. Academic Press, New York
    • GOOD, I. J. (1969). What is the use of a distribution? In Multivariate Analysis (P. R. Krishnaiah, ed.) 2 183-203. Academic Press, New York.
    • (1969) Multivariate Analysis , vol.2 , pp. 183-203
    • Good, I.J.1
  • 18
    • 0030540780 scopus 로고    scopus 로고
    • Local sensitivity of inferences to prior marginals
    • To appear
    • GUSTAFSON, P. (1996). Local sensitivity of inferences to prior marginals. J. Amer. Statist. Assoc. 91 To appear.
    • (1996) J. Amer. Statist. Assoc. , vol.91
    • Gustafson, P.1
  • 19
    • 0347419679 scopus 로고
    • Local sensitivity diagnostics for Bayesian inference
    • GUSTAFSON, P. and WASSERMAN, L. (1995). Local sensitivity diagnostics for Bayesian inference. Ann. Statist. 23 2153-2167.
    • (1995) Ann. Statist. , vol.23 , pp. 2153-2167
    • Gustafson, P.1    Wasserman, L.2
  • 22
    • 0011059476 scopus 로고
    • Approximate methods for assessing influence and sensitivity in Bayesian analysis
    • KASS, R. E., TIERNEY, L. and KADANE, J. B. (1989). Approximate methods for assessing influence and sensitivity in Bayesian analysis. Biometrika 76 663-674.
    • (1989) Biometrika , vol.76 , pp. 663-674
    • Kass, R.E.1    Tierney, L.2    Kadane, J.B.3
  • 23
    • 0000181744 scopus 로고
    • Sensitivity in Bayesian statistics: The prior and the likelihood
    • LAVINE, M. (1991a). Sensitivity in Bayesian statistics: the prior and the likelihood. J. Amer. Statist. Assoc. 86 396-399.
    • (1991) J. Amer. Statist. Assoc. , vol.86 , pp. 396-399
    • Lavine, M.1
  • 24
    • 0347419680 scopus 로고
    • An approach to robust Bayesian analysis for multidimensional parameter spaces
    • LAVINE, M. (1991b). An approach to robust Bayesian analysis for multidimensional parameter spaces. J. Amer. Statist. Assoc. 88 400-403.
    • (1991) J. Amer. Statist. Assoc. , vol.88 , pp. 400-403
    • Lavine, M.1
  • 25
    • 0000083758 scopus 로고
    • Recent methodological advances ion robust Bayesian inference
    • by L. Wasserman. J. M. Bernando, J. O. Berger, A. P. Dawid and A. F. M. Smith, eds. Oxford Univ. Press
    • LINDLEY, D. V. (1992). Comment on "Recent methodological advances ion robust Bayesian inference" by L. Wasserman. In Bayesian Statistics 4 (J. M. Bernando, J. O. Berger, A. P. Dawid and A. F. M. Smith, eds.) 496. Oxford Univ. Press.
    • (1992) Bayesian Statistics , vol.4 , pp. 496
    • Lindley, D.V.1
  • 26
    • 84988087888 scopus 로고
    • Infinitesimal sensitivity of posterior distributions
    • RUGGERI, F. and WASSERMAN, L. (1993). Infinitesimal sensitivity of posterior distributions. Canad. J. Statist. 21 195-203.
    • (1993) Canad. J. Statist. , vol.21 , pp. 195-203
    • Ruggeri, F.1    Wasserman, L.2
  • 27
    • 0010132153 scopus 로고
    • Density based classes of priors: Infinitesimal properties and approximations
    • RUGGERI, F. and WASSERMAN, L. (1995). Density based classes of priors: infinitesimal properties and approximations. J. Statist. Plann. Inference 46 311-324.
    • (1995) J. Statist. Plann. Inference , vol.46 , pp. 311-324
    • Ruggeri, F.1    Wasserman, L.2
  • 28
    • 0040114032 scopus 로고
    • Range of posterior measures for priors with arbitrary contaminations
    • SIVAGANESAN, S. (1988). Range of posterior measures for priors with arbitrary contaminations. Comm. Statist. Theory Methods 17 1591-1612.
    • (1988) Comm. Statist. Theory Methods , vol.17 , pp. 1591-1612
    • Sivaganesan, S.1
  • 30
    • 0004318553 scopus 로고
    • On the ranges of posterior quantities
    • Dept. Statistics, Univ. Kentucky, Lexington
    • SRINIVASAN, C. and TRUSZCZYNSKA, H. (1990). On the ranges of posterior quantities. Technical Report 294, Dept. Statistics, Univ. Kentucky, Lexington.
    • (1990) Technical Report , vol.294
    • Srinivasan, C.1    Truszczynska, H.2
  • 31
    • 0001121085 scopus 로고
    • On the coverage probability of confidence sets based on a prior distribution
    • PWN Publishers, Warsaw
    • STEIN, C. (1985). On the coverage probability of confidence sets based on a prior distribution. In Sequential Methods in Statistics 485-514. PWN Publishers, Warsaw.
    • (1985) Sequential Methods in Statistics , pp. 485-514
    • Stein, C.1
  • 32
    • 21144470642 scopus 로고
    • Invariance properties of density ratio priors
    • WASSERMAN, L. (1992a). Invariance properties of density ratio priors. Ann. Statist. 20 2177-2182.
    • (1992) Ann. Statist. , vol.20 , pp. 2177-2182
    • Wasserman, L.1
  • 33
    • 0000083758 scopus 로고
    • Recent methodological advances in robust Bayesian inference
    • J. M. Bernando, J. O. Berger, A. P. Dawid and A. F. M. Smith, eds. Oxford Univ. Press
    • WASSERMAN, L. (1992b). Recent methodological advances in robust Bayesian inference (with discussion). In Bayesian Statistics 4 (J. M. Bernando, J. O. Berger, A. P. Dawid and A. F. M. Smith, eds.) 483-502. Oxford Univ. Press.
    • (1992) Bayesian Statistics , vol.4 , pp. 483-502
    • Wasserman, L.1
  • 34
    • 0039522404 scopus 로고
    • The conflict between improper priors and robustness
    • Dept. Statistics, Carnegie Mellon Univ.
    • WASSERMAN, L. (1992c). The conflict between improper priors and robustness. Technical Report 559. Dept. Statistics, Carnegie Mellon Univ.
    • (1992) Technical Report , vol.559
    • Wasserman, L.1


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