메뉴 건너뛰기




Volumn 51, Issue 2, 2006, Pages 872-884

Very accurate posterior approximations based on finite mixtures of the hyperparameters conditionals

Author keywords

Approximate Bayesian inference; Chi squared divergence; Harmonic or Triangular divergence; Hierarchical models; Importance sampling; Mixture distributions

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; MATHEMATICAL MODELS; OPTIMIZATION; SAMPLING; STATISTICAL TESTS;

EID: 33750344778     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2005.09.008     Document Type: Article
Times cited : (2)

References (18)
  • 3
    • 0000489740 scopus 로고
    • Information-type measures of difference of probability distributions and indirect observations
    • Csiszár I. Information-type measures of difference of probability distributions and indirect observations. Stud. Sci. Math. Hungar. 2 (1967) 299-318
    • (1967) Stud. Sci. Math. Hungar. , vol.2 , pp. 299-318
    • Csiszár, I.1
  • 4
    • 0023287238 scopus 로고
    • Robust empirical Bayes analysis of event rates
    • Gaver D., and O'Muircheartaigh I. Robust empirical Bayes analysis of event rates. Technometrics 29 (1987) 1-15
    • (1987) Technometrics , vol.29 , pp. 1-15
    • Gaver, D.1    O'Muircheartaigh, I.2
  • 6
    • 84950453304 scopus 로고
    • Sampling-based approaches to calculating marginal densities
    • Gelfand A.E., and Smith A.F.M. Sampling-based approaches to calculating marginal densities. J. Amer. Statist. Assoc. 85 (1990) 398-409
    • (1990) J. Amer. Statist. Assoc. , vol.85 , pp. 398-409
    • Gelfand, A.E.1    Smith, A.F.M.2
  • 8
    • 0011450202 scopus 로고
    • A technique for estimating marginal posterior densities in hierarchical models using mixtures of conditional densities
    • Johnson V.E. A technique for estimating marginal posterior densities in hierarchical models using mixtures of conditional densities. J. Amer. Statist. Assoc. 87 (1992) 852-860
    • (1992) J. Amer. Statist. Assoc. , vol.87 , pp. 852-860
    • Johnson, V.E.1
  • 10
    • 0011059476 scopus 로고
    • Approximate methods for assessing influence and sensitivity in Bayesian analysis
    • Kass R.E., Tierney L., and Kadane J.B. Approximate methods for assessing influence and sensitivity in Bayesian analysis. Biometrika 76 (1989) 663-674
    • (1989) Biometrika , vol.76 , pp. 663-674
    • Kass, R.E.1    Tierney, L.2    Kadane, J.B.3
  • 12
    • 84989405947 scopus 로고
    • Bayesian analysis of outlier problems using divergence measures
    • Peng F.C., and Dey D.K. Bayesian analysis of outlier problems using divergence measures. Canad. J. Statist.-Revue Canad. Statist. 23 (1995) 199-213
    • (1995) Canad. J. Statist.-Revue Canad. Statist. , vol.23 , pp. 199-213
    • Peng, F.C.1    Dey, D.K.2
  • 13
    • 33750348686 scopus 로고    scopus 로고
    • R Development Core Team, 2004. R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. URL http://www.R-project.org.
  • 14
    • 0022205528 scopus 로고
    • A modular system of algorithms for unconstrained minimization
    • Schnabel R.B., Koontz J.E., and Weiss B.E. A modular system of algorithms for unconstrained minimization. ACM Trans. Math. Software 11 (1985) 419-440
    • (1985) ACM Trans. Math. Software , vol.11 , pp. 419-440
    • Schnabel, R.B.1    Koontz, J.E.2    Weiss, B.E.3
  • 15
    • 85164149872 scopus 로고    scopus 로고
    • An approach to Bayesian sensitivity analysis
    • Weiss R. An approach to Bayesian sensitivity analysis. J. R. Statist. Soc. B 58 (1996) 751-762
    • (1996) J. R. Statist. Soc. B , vol.58 , pp. 751-762
    • Weiss, R.1
  • 16
    • 0040092426 scopus 로고    scopus 로고
    • Bayesian marginal influence assessment
    • Weiss R., and Cho M.H. Bayesian marginal influence assessment. J. Statist. Plann. Inference 71 (1998) 163-177
    • (1998) J. Statist. Plann. Inference , vol.71 , pp. 163-177
    • Weiss, R.1    Cho, M.H.2
  • 17
    • 84950871099 scopus 로고
    • Accurate approximations for posterior moments marginal densities
    • Tierney L., and Kadane J.B. Accurate approximations for posterior moments marginal densities. J. Amer. Statist. Assoc. 81 (1986) 82-86
    • (1986) J. Amer. Statist. Assoc. , vol.81 , pp. 82-86
    • Tierney, L.1    Kadane, J.B.2
  • 18
    • 0034224418 scopus 로고    scopus 로고
    • Some inequalities for information divergence and related measures of discrimination
    • Topsoe F. Some inequalities for information divergence and related measures of discrimination. IEEE Trans. Inform. Theory 46 (2000) 1602-1609
    • (2000) IEEE Trans. Inform. Theory , vol.46 , pp. 1602-1609
    • Topsoe, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.