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Volumn 139, Issue 7, 2009, Pages 2316-2328

The Bernstein-von Mises theorem in semiparametric competing risks models

Author keywords

Bayesian nonparametrics; Bernstein von Mises theorem; Beta process; Cause specific conditional probability; Competing risks; Semiparametric inference

Indexed keywords


EID: 62049084353     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2008.10.018     Document Type: Article
Times cited : (13)

References (26)
  • 1
    • 0000047140 scopus 로고
    • Nonparametric inference for a family of counting processes
    • Aalen O. Nonparametric inference for a family of counting processes. Ann. Statist. 6 (1978) 701-726
    • (1978) Ann. Statist. , vol.6 , pp. 701-726
    • Aalen, O.1
  • 2
    • 0002662712 scopus 로고
    • On the existence of maximum likelihood estimates in logistic regression models
    • Albert A., and Anderson J.A. On the existence of maximum likelihood estimates in logistic regression models. Biometrika 71 (1984) 1-10
    • (1984) Biometrika , vol.71 , pp. 1-10
    • Albert, A.1    Anderson, J.A.2
  • 3
    • 0001646484 scopus 로고
    • Cox's regression model for counting processes: a large sample study
    • Andersen P.K., and Gill R.D. Cox's regression model for counting processes: a large sample study. Ann. Statist. 10 (1982) 1100-1120
    • (1982) Ann. Statist. , vol.10 , pp. 1100-1120
    • Andersen, P.K.1    Gill, R.D.2
  • 5
    • 21144475432 scopus 로고
    • An analysis of Bayesian inference for nonparametric regression
    • Cox D.D. An analysis of Bayesian inference for nonparametric regression. Ann. Statist. 21 (1993) 903-923
    • (1993) Ann. Statist. , vol.21 , pp. 903-923
    • Cox, D.D.1
  • 6
    • 33847351562 scopus 로고    scopus 로고
    • Bayesian survival analysis in proportional hazard models with logistic relative risk
    • De Blasi P., and Hjort N.L. Bayesian survival analysis in proportional hazard models with logistic relative risk. Scand. J. Statist. 34 (2007) 229-257
    • (2007) Scand. J. Statist. , vol.34 , pp. 229-257
    • De Blasi, P.1    Hjort, N.L.2
  • 7
    • 0003171807 scopus 로고
    • On the consistency of Bayes estimates
    • Diaconis P., and Freedman D. On the consistency of Bayes estimates. Ann. Statist. 14 (1986) 1-26
    • (1986) Ann. Statist. , vol.14 , pp. 1-26
    • Diaconis, P.1    Freedman, D.2
  • 8
    • 0000111818 scopus 로고
    • Tailfree and neutral random probabilities and their posterior distributions
    • Doksum K. Tailfree and neutral random probabilities and their posterior distributions. Ann. Probab. 2 (1974) 183-201
    • (1974) Ann. Probab. , vol.2 , pp. 183-201
    • Doksum, K.1
  • 9
    • 0033236897 scopus 로고    scopus 로고
    • On the Bernstein-von Mises theorem with infinite-dimensional parameters
    • Freedman D. On the Bernstein-von Mises theorem with infinite-dimensional parameters. Ann. Statist. 27 (1999) 1119-1140
    • (1999) Ann. Statist. , vol.27 , pp. 1119-1140
    • Freedman, D.1
  • 10
    • 0034338191 scopus 로고    scopus 로고
    • Analysis of competing risks by using Bayesian smoothing
    • Gasbarra D., and Karia S.R. Analysis of competing risks by using Bayesian smoothing. Scand. J. Statist. 27 (2000) 605-617
    • (2000) Scand. J. Statist. , vol.27 , pp. 605-617
    • Gasbarra, D.1    Karia, S.R.2
  • 12
    • 0000324169 scopus 로고
    • Adaptive rejection sampling for Gibbs sampling
    • Gilks W.R., and Wild P. Adaptive rejection sampling for Gibbs sampling. Appl. Statist. 41 (1992) 337-348
    • (1992) Appl. Statist. , vol.41 , pp. 337-348
    • Gilks, W.R.1    Wild, P.2
  • 13
    • 0002610193 scopus 로고
    • Non- and semi-parametric maximum likelihood estimators and the von Mises method I
    • (with discussion)
    • Gill R.D. Non- and semi-parametric maximum likelihood estimators and the von Mises method I. Scand. J. Statist. 16 (1989) 97-128 (with discussion)
    • (1989) Scand. J. Statist. , vol.16 , pp. 97-128
    • Gill, R.D.1
  • 14
    • 0001232443 scopus 로고
    • A survey of product-integration with a view toward application to survival analysis
    • Gill R.D., and Johansen S. A survey of product-integration with a view toward application to survival analysis. Ann. Statist. 18 (1990) 1501-1555
    • (1990) Ann. Statist. , vol.18 , pp. 1501-1555
    • Gill, R.D.1    Johansen, S.2
  • 15
    • 0001241617 scopus 로고
    • Nonparametric Bayes estimators based on beta processes in models for life history data
    • Hjort N.L. Nonparametric Bayes estimators based on beta processes in models for life history data. Ann. Statist. 18 (1990) 1259-1294
    • (1990) Ann. Statist. , vol.18 , pp. 1259-1294
    • Hjort, N.L.1
  • 16
    • 0040605177 scopus 로고
    • Asymptotics for minimisers of convex processes
    • Department of Mathematics, University of Oslo
    • Hjort, N.L., Pollard, D.B., 1994. Asymptotics for minimisers of convex processes. Statistical Research Report, Department of Mathematics, University of Oslo.
    • (1994) Statistical Research Report
    • Hjort, N.L.1    Pollard, D.B.2
  • 17
    • 0001219764 scopus 로고    scopus 로고
    • Nonparametric estimation of the joint distribution of survival time and mark variables
    • Huang Y., and Louis T.A. Nonparametric estimation of the joint distribution of survival time and mark variables. Biometrika 85 (1998) 785-798
    • (1998) Biometrika , vol.85 , pp. 785-798
    • Huang, Y.1    Louis, T.A.2
  • 18
    • 79960450252 scopus 로고
    • On Bayesian analysis of generalized linear models using Jeffreys's prior
    • Ibrahim J.G., and Laud P.W. On Bayesian analysis of generalized linear models using Jeffreys's prior. J. Amer. Statist. Assoc. 86 (1991) 981-986
    • (1991) J. Amer. Statist. Assoc. , vol.86 , pp. 981-986
    • Ibrahim, J.G.1    Laud, P.W.2
  • 19
    • 33744827696 scopus 로고    scopus 로고
    • Poisson calculus for spatial neutral to the right processes
    • James L.F. Poisson calculus for spatial neutral to the right processes. Ann. Statist. 34 (2006) 416-440
    • (2006) Ann. Statist. , vol.34 , pp. 416-440
    • James, L.F.1
  • 20
    • 0033471036 scopus 로고    scopus 로고
    • Nonparametric Bayesian estimators for counting processes
    • Kim Y. Nonparametric Bayesian estimators for counting processes. Ann. Statist. 27 (1999) 562-588
    • (1999) Ann. Statist. , vol.27 , pp. 562-588
    • Kim, Y.1
  • 21
    • 33845333028 scopus 로고    scopus 로고
    • The Bernstein-von Mises theorem for the proportional hazard model
    • Kim Y. The Bernstein-von Mises theorem for the proportional hazard model. Ann. Statist. 34 (2006) 1678-1700
    • (2006) Ann. Statist. , vol.34 , pp. 1678-1700
    • Kim, Y.1
  • 22
    • 24344452101 scopus 로고    scopus 로고
    • A Bernstein-von Mises theorem in the nonparametric right-censoring model
    • Kim Y., and Lee J. A Bernstein-von Mises theorem in the nonparametric right-censoring model. Ann. Statist. 32 (2004) 1492-1512
    • (2004) Ann. Statist. , vol.32 , pp. 1492-1512
    • Kim, Y.1    Lee, J.2
  • 23
    • 0022239517 scopus 로고
    • A mixture model for the regression analysis of competing risks data
    • Larson M.G., and Dinse G.E. A mixture model for the regression analysis of competing risks data. Appl. Statist. 34 (1985) 201-211
    • (1985) Appl. Statist. , vol.34 , pp. 201-211
    • Larson, M.G.1    Dinse, G.E.2
  • 24
    • 0027166881 scopus 로고
    • Kaplan-Meier, marginal and conditional probability curves in summarizing competing risks failure time data
    • Pepe M.S., and Mori M. Kaplan-Meier, marginal and conditional probability curves in summarizing competing risks failure time data. Statist. Med. 12 (1993) 737-751
    • (1993) Statist. Med. , vol.12 , pp. 737-751
    • Pepe, M.S.1    Mori, M.2
  • 26
    • 0034347381 scopus 로고    scopus 로고
    • Bayesian aspects of some nonparametric problems
    • Zhao L.H. Bayesian aspects of some nonparametric problems. Ann. Statist. 28 (2000) 532-552
    • (2000) Ann. Statist. , vol.28 , pp. 532-552
    • Zhao, L.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.