메뉴 건너뛰기




Volumn 98, Issue 1, 2011, Pages 17-34

The multivariate beta process and an extension of the Polya tree model

Author keywords

Dependent random probability measures; Multivariate beta process; Polya tree distribution

Indexed keywords


EID: 79952135833     PISSN: 00063444     EISSN: 14643510     Source Type: Journal    
DOI: 10.1093/biomet/asq072     Document Type: Article
Times cited : (28)

References (25)
  • 1
    • 1842715165 scopus 로고    scopus 로고
    • Bayesian testing of a parametric model versus nonparametric alternatives
    • BERGER, J. O. & GUGLIELMI, A. (2001). Bayesian testing of a parametric model versus nonparametric alternatives. J. Am. Statist. Assoc. 96, 174-84
    • (2001) J. Am. Statist. Assoc. , vol.96 , pp. 174-184
    • Berger, J.O.1    Guglielmi, A.2
  • 2
    • 84972533536 scopus 로고
    • A class of isotropic distributions in Rn and their characteristic functions
    • BERMAN, M. (1978). A class of isotropic distributions in Rn and their characteristic functions. Pac. J. Math. 78, 1-9.
    • (1978) Pac. J. Math. , vol.78 , pp. 1-9
    • Berman, M.1
  • 3
    • 0002617436 scopus 로고
    • Ferguson distributions via Polya urn schemes
    • BLACKWELL, D. & MACQUEEN, J. B. (1973). Ferguson distributions via Polya urn schemes. Ann. Statist. 1, 353-5.
    • (1973) Ann. Statist. , vol.1 , pp. 353-355
    • Blackwell, D.1    MacQueen, J.B.2
  • 5
    • 0000111818 scopus 로고
    • Tailfree and neutral random probabilities and their posterior distributions
    • DOKSUM, K. (1974). Tailfree and neutral random probabilities and their posterior distributions. Ann. Prob. 2, 183-201.
    • (1974) Ann. Prob. , vol.2 , pp. 183-201
    • Doksum, K.1
  • 6
    • 40249086281 scopus 로고    scopus 로고
    • Kernel stick-breaking processes
    • DOI 10.1093/biomet/asn012
    • DUNSON, D. B. & PARK, B. K. (2008). Kernel stick-breaking processes. Biometrika 95, 307-23. (Pubitemid 351797211)
    • (2008) Biometrika , vol.95 , Issue.2 , pp. 307-323
    • Dunson, D.B.1    Park, J.-H.2
  • 8
    • 0000780135 scopus 로고
    • Prior distributions on spaces of probability measures
    • FERGUSON, T. S. (1974). Prior distributions on spaces of probability measures. Ann. Statist. 4, 615-29.
    • (1974) Ann. Statist. , vol.4 , pp. 615-629
    • Ferguson, T.S.1
  • 9
    • 0011904678 scopus 로고    scopus 로고
    • Radial positive definite functions generated by Euclid's hat
    • GNEITING, T. (1999). Radial positive definite functions generated by Euclid's hat. J. Mult. Anal. 69, 88-19.
    • (1999) J. Mult. Anal. , vol.69 , pp. 88-119
    • Gneiting, T.1
  • 10
    • 33846106535 scopus 로고    scopus 로고
    • Inference for mixtures of finite Polya tree models
    • HANSON, T. (2006). Inference for mixtures of finite Polya tree models. J. Am. Statist. Assoc. 101, 1548-65.
    • (2006) J. Am. Statist. Assoc. , vol.101 , pp. 1548-1565
    • Hanson, T.1
  • 11
    • 0036969133 scopus 로고    scopus 로고
    • Modeling regression error with a mixture of Polya trees
    • DOI 10.1198/016214502388618843
    • HANSON, T. & JOHNSON, W. (2002).Modeling regression error with a mixture of Polya trees. J. Am. Statist. Assoc. 97, 1020-33. (Pubitemid 36136562)
    • (2002) Journal of the American Statistical Association , vol.97 , Issue.460 , pp. 1020-1033
    • Hanson, T.1    Johnson, W.O.2
  • 12
    • 0001241617 scopus 로고
    • Nonparametric Bayes estimators based on Beta processes in models for life history data
    • HJORT, N. L. (1990). Nonparametric Bayes estimators based on Beta processes in models for life history data. Ann. Statist. 18, 1259-94.
    • (1990) Ann. Statist. , vol.18 , pp. 1259-1294
    • Hjort, N.L.1
  • 13
    • 0023839826 scopus 로고
    • The benefit of adjuvant treatment for resected locally advanced non-small-cell lung cancer
    • LAD, T., RUBINSTEIN, L. & SADEGHI, A. (1988). The benefit of adjuvant treatment for resected locally advanced non-small-cell lung cancer. J. Clin. Oncol. 6, 9-17. (Pubitemid 18039985)
    • (1988) Journal of Clinical Oncology , vol.6 , Issue.1 , pp. 9-17
    • Lad, T.1    Rubinstein, L.2    Sadeghi, A.3
  • 14
    • 21144477858 scopus 로고
    • Some aspects of Polya tree distributions for statistical modelling
    • LAVINE, M. (1992). Some aspects of Polya tree distributions for statistical modelling. Ann. Statist. 20, 1222-35.
    • (1992) Ann. Statist. , vol.20 , pp. 1222-1235
    • Lavine, M.1
  • 15
    • 21844505499 scopus 로고
    • More aspects of Polya tree distributions for statistical modelling
    • LAVINE, M. (1994). More aspects of Polya tree distributions for statistical modelling. Ann. Statist. 22, 1161-76.
    • (1994) Ann. Statist. , vol.22 , pp. 1161-1176
    • Lavine, M.1
  • 16
    • 3543023776 scopus 로고    scopus 로고
    • Dependent nonparametric processes
    • Alexandria, VA: American Statistical Association
    • MACEACHERN, S. (1999). Dependent nonparametric processes. In ASA Proc. Sec. Bayesian Statist. Sci., pp. 50-5. Alexandria, VA: American Statistical Association.
    • (1999) ASA Proc. Sec. Bayesian Statist. Sci. , pp. 50-55
    • MacEachern, S.1
  • 18
    • 84972538826 scopus 로고
    • A class of isotropic covariance functions
    • MITTAL, Y. (1976). A class of isotropic covariance functions. Pac. J. Math 64, 517-38.
    • (1976) Pac. J. Math , vol.64 , pp. 517-538
    • Mittal, Y.1
  • 19
    • 29344443090 scopus 로고    scopus 로고
    • Some bivariate beta distributions
    • DOI 10.1080/02331880500286902, PII JX5X513480
    • NADARAJAH, S. & KOTZ, S. (2005) Some bivariate beta distributions. Statistics 39, 457-66. (Pubitemid 43000307)
    • (2005) Statistics , vol.39 , Issue.5 , pp. 457-466
    • Nadarajah, S.1    Kotz, S.2
  • 21
    • 0037405514 scopus 로고    scopus 로고
    • A bivariate beta distribution
    • DOI 10.1016/S0167-7152(03)00048-8, PII S0167715203000488
    • OLKIN, I. & LIU, R. (2003). A bivariate beta distribution Statist. Prob. Lett. 62, 407-12. (Pubitemid 36439419)
    • (2003) Statistics and Probability Letters , vol.62 , Issue.4 , pp. 407-412
    • Olkin, I.1    Liu, R.2
  • 23
    • 0000759236 scopus 로고
    • How many iterations in the Gibbs sampler?
    • Ed. J.M Bernardo, J. O. Berger, A. P. Dawid and A. F. M. Smith,Oxford: Oxford University Press
    • RAFTERY, A. E. & LEWIS, S. M. (1992). How many iterations in the Gibbs sampler? In Bayesian Statist. 4, Ed. J.M. Bernardo, J. O. Berger, A. P. Dawid and A. F. M. Smith, pp. 763-73. Oxford: Oxford University Press.
    • (1992) Bayesian Statist. , vol.4 , pp. 763-73
    • Raftery, A.E.1    Lewis, S.M.2
  • 24
    • 0033041454 scopus 로고    scopus 로고
    • A Bayesian semiparametric accelerated failure time model
    • WALKER, S. & MALLICK, B. K. (1999). A Bayesian semiparametric accelerated failure time model. Biometrics 55, 477-83. (Pubitemid 29302572)
    • (1999) Biometrics , vol.55 , Issue.2 , pp. 477-483
    • Walker, S.1    Mallick, B.K.2
  • 25
    • 7444266552 scopus 로고    scopus 로고
    • A bivariate Dirichlet process
    • DOI 10.1016/S0167-7152(03)00124-X, PII S016771520300124X
    • WALKER, S. & MULIERE, P. (2003). A bivariate Dirichlet process. Statist. Prob. Lett. 64, 1-7. (Pubitemid 36831808)
    • (2003) Statistics and Probability Letters , vol.64 , Issue.1 , pp. 1-7
    • Walker, S.1    Muliere, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.