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Volumn 93, Issue 3, 2006, Pages 723-733

Empirical-type likelihoods allowing posterior credible sets with frequentist validity: Higher-order asymptotics

Author keywords

Edgeworth expansion; Empirical likelihood; Highest posterior density region; Posterior quantile; Probability matching prior

Indexed keywords


EID: 33750196513     PISSN: 00063444     EISSN: 14643510     Source Type: Journal    
DOI: 10.1093/biomet/93.3.723     Document Type: Article
Times cited : (28)

References (19)
  • 1
    • 0000454389 scopus 로고    scopus 로고
    • Empirical likelihood as a goodness-of-fit measure
    • BAGGERLY, K. A. (1998). Empirical likelihood as a goodness-of-fit measure. Biometrika 85, 535-47.
    • (1998) Biometrika , vol.85 , pp. 535-547
    • Baggerly, K.A.1
  • 2
    • 0000763454 scopus 로고
    • A decomposition for the likelihood ratio statistic and the Bartlett correction - A Bayesian argument
    • BICKEL, P. J. & GHOSH, J. K. (1990). A decomposition for the likelihood ratio statistic and the Bartlett correction-a Bayesian argument. Ann. Statist. 18, 1070-90.
    • (1990) Ann. Statist. , vol.18 , pp. 1070-1090
    • Bickel, P.J.1    Ghosh, J.K.2
  • 3
    • 3843066514 scopus 로고    scopus 로고
    • Second-order power comparisons for a class of nonparametric likelihood-based tests
    • BRAVO, F. (2003). Second-order power comparisons for a class of nonparametric likelihood-based tests. Biometrika 90, 881-90.
    • (2003) Biometrika , vol.90 , pp. 881-890
    • Bravo, F.1
  • 4
    • 0002242942 scopus 로고
    • Valid asymptotic expansions for the likelihood ratio statistic and other perturbed chi-square variables
    • CHANDRA, T. K. & GHOSH, J. K. (1979). Valid asymptotic expansions for the likelihood ratio statistic and other perturbed chi-square variables. Sankhyā: A 41, 22-47.
    • (1979) Sankhyā A , vol.41 , pp. 22-47
    • Chandra, T.K.1    Ghosh, J.K.2
  • 5
    • 0010742747 scopus 로고    scopus 로고
    • Bartlett adjustment of empirical discrepancy statistics
    • CORCORAN, S. A. (1998). Bartlett adjustment of empirical discrepancy statistics. Biometrika 85, 967-72.
    • (1998) Biometrika , vol.85 , pp. 967-972
    • Corcoran, S.A.1
  • 7
    • 0001423096 scopus 로고
    • On Bartlett adjustments for approximate Bayesian inference
    • DICICCIO, T. J. & STERN, S. E. (1993). On Bartlett adjustments for approximate Bayesian inference. Biometrika 80, 731-40.
    • (1993) Biometrika , vol.80 , pp. 731-740
    • DiCiccio, T.J.1    Stern, S.E.2
  • 8
    • 0000342632 scopus 로고
    • Frequentist and Bayesian Bartlett correction of test statistics based on adjusted profile likelihoods
    • DICICCIO, T. J. & STERN, S. E. (1994). Frequentist and Bayesian Bartlett correction of test statistics based on adjusted profile likelihoods. J. R. Statist. Soc. B 56, 397-408.
    • (1994) J. R. Statist. Soc. , vol.B56 , pp. 397-408
    • DiCiccio, T.J.1    Stern, S.E.2
  • 9
    • 21644479433 scopus 로고    scopus 로고
    • Expected lengths of confidence intervals based on empirical discrepancy statistics
    • FANG, K. T. & MUKERJEE, R. (2005). Expected lengths of confidence intervals based on empirical discrepancy statistics. Biometrika 92, 499-503.
    • (2005) Biometrika , vol.92 , pp. 499-503
    • Fang, K.T.1    Mukerjee, R.2
  • 10
    • 0010822636 scopus 로고
    • Expansions for posterior probability and integrated Bayes risk
    • Ed. S. S. Gupta and J. O. Berger. New York: Academic Press
    • GHOSH, J. K., SINHA, B. K. & JOSHI, S. N. (1982). Expansions for posterior probability and integrated Bayes risk. In Statistical Decision Theory and Related Topics III, Volume 1, Ed. S. S. Gupta and J. O. Berger, pp. 403-56. New York: Academic Press.
    • (1982) Statistical Decision Theory and Related Topics III , vol.1 , pp. 403-456
    • Ghosh, J.K.1    Sinha, B.K.2    Joshi, S.N.3
  • 11
    • 3843118606 scopus 로고    scopus 로고
    • Bayesian empirical likelihood
    • LAZAR, N. A. (2003). Bayesian empirical likelihood. Biometrika 90, 319-26.
    • (2003) Biometrika , vol.90 , pp. 319-326
    • Lazar, N.A.1
  • 13
    • 0346936577 scopus 로고
    • Proper likelihoods for Bayesian analysis
    • MONAHAN, J. F. & BOOS, D. D. (1992). Proper likelihoods for Bayesian analysis. Biometrika 79, 271-8.
    • (1992) Biometrika , vol.79 , pp. 271-278
    • Monahan, J.F.1    Boos, D.D.2
  • 14
    • 0012540372 scopus 로고    scopus 로고
    • On a property of probability matching priors: Matching the alternative coverage probabilities
    • MUKERJEE, R. & REID, N. (1999). On a property of probability matching priors: matching the alternative coverage probabilities. Biometrika 86, 333-40.
    • (1999) Biometrika , vol.86 , pp. 333-340
    • Mukerjee, R.1    Reid, N.2
  • 15
    • 1642369685 scopus 로고    scopus 로고
    • Higher order properties of GMM and generalized empirical likelihood estimators
    • NEWEY, W. K. & SMITH, R. J. (2004). Higher order properties of GMM and generalized empirical likelihood estimators. Econometrica 72, 219-55.
    • (2004) Econometrica , vol.72 , pp. 219-255
    • Newey, W.K.1    Smith, R.J.2
  • 16
    • 0000060427 scopus 로고
    • Empirical likelihood ratio confidence intervals for a single functional
    • OWEN, A. B. (1988). Empirical likelihood ratio confidence intervals for a single functional. Biometrika 75, 237-49.
    • (1988) Biometrika , vol.75 , pp. 237-49
    • Owen, A.B.1
  • 18
    • 15844382552 scopus 로고    scopus 로고
    • Bayesian exponentially tilted empirical likelihood
    • SCHENNACH, S. M. (2005). Bayesian exponentially tilted empirical likelihood. Biometrika 92, 31-46.
    • (2005) Biometrika , vol.92 , pp. 31-46
    • Schennach, S.M.1
  • 19
    • 15844410709 scopus 로고    scopus 로고
    • On the implementation of local probability matching priors for interest parameters
    • SWEETING, T. J. (2005). On the implementation of local probability matching priors for interest parameters. Biometrika 92, 47-57.
    • (2005) Biometrika , vol.92 , pp. 47-57
    • Sweeting, T.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.