메뉴 건너뛰기




Volumn 99, Issue 468, 2004, Pages 1037-1049

Fully exponential Laplace approximations using asymptotic modes

Author keywords

Asymptotic expansions; Bayesian inference; Computation of integrals; Laplace's method; Predictive distributions

Indexed keywords


EID: 10844236318     PISSN: 01621459     EISSN: None     Source Type: Journal    
DOI: 10.1198/016214504000001673     Document Type: Article
Times cited : (18)

References (16)
  • 4
    • 0001371882 scopus 로고
    • An asymptotic expansion for posterior distributions
    • Johnson, R. A. (1967), An Asymptotic Expansion for Posterior Distributions, The Annals of Mathematical Statistics, 38, 1266-1272.
    • (1967) The Annals of Mathematical Statistics , vol.38 , pp. 1266-1272
    • Johnson, R.A.1
  • 5
    • 0001153759 scopus 로고
    • Asymptotic expansions associated with posterior distributions
    • _ (1970), Asymptotic Expansions Associated With Posterior Distributions, The Annals of Mathematical Statistics, 41, 851-864,
    • (1970) The Annals of Mathematical Statistics , vol.41 , pp. 851-864
  • 6
    • 0003100767 scopus 로고
    • The validity of posterior expansions based on laplace's method
    • eds. S. Geisser, J. S. Hodges, S. J. Press, and A. Zellner, Amsterdam: North-Holland
    • Kass, R. E., Tierney, L., and Kadane, J. B. (1990), The Validity of Posterior Expansions Based on Laplace's Method, in Essays in Honor of George Barnard, eds. S. Geisser, J. S. Hodges, S. J. Press, and A. Zellner, Amsterdam: North-Holland, pp. 473-488.
    • (1990) Essays in Honor of George Barnard , pp. 473-488
    • Kass, R.E.1    Tierney, L.2    Kadane, J.B.3
  • 7
    • 10844232606 scopus 로고
    • Paris: Imprimerie Royale
    • Laplace, P. S. (1847), Oeuvres, Vol. 7, Paris: Imprimerie Royale.
    • (1847) Oeuvres , vol.7
    • Laplace, P.S.1
  • 9
    • 0042113387 scopus 로고
    • Comment on A simple predictive density function,
    • by M. Lejeune and G. D. Faulkenberry
    • Leonard, T. (1982), Comment on A Simple Predictive Density Function, by M. Lejeune and G. D. Faulkenberry, Journal of the American Statistical Association, 77, 657-658.
    • (1982) Journal of the American Statistical Association , vol.77 , pp. 657-658
    • Leonard, T.1
  • 10
    • 0031514994 scopus 로고    scopus 로고
    • Estimating bayes factors via posterior simulation with the laplace-metropolis estimator
    • Lewis, S. M., and Raftery, A. E. (1997), Estimating Bayes Factors via Posterior Simulation With the Laplace-Metropolis Estimator, Journal of the American Statistical Association, 92, 648-655.
    • (1997) Journal of the American Statistical Association , vol.92 , pp. 648-655
    • Lewis, S.M.1    Raftery, A.E.2
  • 11
    • 0037580073 scopus 로고
    • The use of prior probability distributions in statistical inference and decisions
    • Berkeley, CA: University of California Press
    • Lindley, D. V. (1961), The Use of Prior Probability Distributions in Statistical Inference and Decisions, in Proceedings of the Fourth Berkeley Symposium, Vol. 1, Berkeley, CA: University of California Press, pp. 453-468.
    • (1961) Proceedings of the Fourth Berkeley Symposium , vol.1 , pp. 453-468
    • Lindley, D.V.1
  • 16
    • 0001560641 scopus 로고
    • Fully exponential laplace approximations to expectations and variances of nonpositive functions
    • Tierney, L., Kass, R. E., and Kadane, J. B. (1989), Fully Exponential Laplace Approximations to Expectations and Variances of Nonpositive Functions, Journal of the American Statistical Association, 84, 710-716.
    • (1989) Journal of the American Statistical Association , vol.84 , pp. 710-716
    • Tierney, L.1    Kass, R.E.2    Kadane, J.B.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.