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Volumn 77, Issue 9, 2007, Pages 907-913

Bayesian nonparametric inference of stochastically ordered distributions, with Pólya trees and Bernstein polynomials

Author keywords

Bayesian nonparametrics; Bernstein polynomial prior; Polya tree prior; Stochastic order

Indexed keywords


EID: 34047261449     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spl.2006.12.012     Document Type: Article
Times cited : (8)

References (26)
  • 1
    • 0002055269 scopus 로고
    • Nonparametric Bayesian inference from right-censored survival data, using the Gibbs sampler
    • Arjas E., and Gasbarra D. Nonparametric Bayesian inference from right-censored survival data, using the Gibbs sampler. Statist. Sinica 4 (1994) 505-524
    • (1994) Statist. Sinica , vol.4 , pp. 505-524
    • Arjas, E.1    Gasbarra, D.2
  • 2
    • 0030327840 scopus 로고    scopus 로고
    • Bayesian inference of survival probabilities under stochastic ordering constraints
    • Arjas E., and Gasbarra D. Bayesian inference of survival probabilities under stochastic ordering constraints. J. Amer. Statist. Assoc. 91 (1996) 1101-1109
    • (1996) J. Amer. Statist. Assoc. , vol.91 , pp. 1101-1109
    • Arjas, E.1    Gasbarra, D.2
  • 3
    • 34047260621 scopus 로고    scopus 로고
    • Belin, T., Rubin, D., 1990. Analysis of a finite mixture model with variance components. Proceedings of the American Statistical Association, Social Statistics Section, pp. 211-215.
  • 4
    • 0041166167 scopus 로고
    • Maximum likelihood estimation of the distributions of two stochastically ordered random variables
    • Brunk H., Franck W., Hanson D., and Hogg R. Maximum likelihood estimation of the distributions of two stochastically ordered random variables. J. Amer. Statist. Assoc. 61 (1966) 1067-1080
    • (1966) J. Amer. Statist. Assoc. , vol.61 , pp. 1067-1080
    • Brunk, H.1    Franck, W.2    Hanson, D.3    Hogg, R.4
  • 5
    • 0032342956 scopus 로고    scopus 로고
    • A unified approach to likelihood inference on stochastic orderings in a non-parametric context
    • Dardanoni V., and Forcina A. A unified approach to likelihood inference on stochastic orderings in a non-parametric context. J. Amer. Statist. Assoc. 93 (1998) 1112-1123
    • (1998) J. Amer. Statist. Assoc. , vol.93 , pp. 1112-1123
    • Dardanoni, V.1    Forcina, A.2
  • 6
    • 0001260819 scopus 로고
    • Maximum likelihood estimation of the survival functions of stochastically ordered random variables
    • Dykstra R. Maximum likelihood estimation of the survival functions of stochastically ordered random variables. J. Amer. Statist. Assoc. 77 (1982) 621-628
    • (1982) J. Amer. Statist. Assoc. , vol.77 , pp. 621-628
    • Dykstra, R.1
  • 7
    • 0039465043 scopus 로고
    • Nonparametric maximum likelihood estimation of survival functions with a general stochastic ordering and its dual
    • Dykstra R., and Feltz C. Nonparametric maximum likelihood estimation of survival functions with a general stochastic ordering and its dual. Biometrika 76 (1989) 331-341
    • (1989) Biometrika , vol.76 , pp. 331-341
    • Dykstra, R.1    Feltz, C.2
  • 8
    • 0030588788 scopus 로고    scopus 로고
    • Multinomial estimation procedures for two stochastically ordered distributions
    • Dykstra R., Lee C., and Yan X. Multinomial estimation procedures for two stochastically ordered distributions. Statist. Probab. Lett. 30 (1996) 353-361
    • (1996) Statist. Probab. Lett. , vol.30 , pp. 353-361
    • Dykstra, R.1    Lee, C.2    Yan, X.3
  • 9
    • 0001506259 scopus 로고
    • Restricted multinomial maximum likelihood estimation based upon Fechnel duality
    • El Barmi H., and Dykstra R. Restricted multinomial maximum likelihood estimation based upon Fechnel duality. Statist. Probab. Lett. 21 (1994) 121-130
    • (1994) Statist. Probab. Lett. , vol.21 , pp. 121-130
    • El Barmi, H.1    Dykstra, R.2
  • 10
    • 0031507511 scopus 로고    scopus 로고
    • Evans, M., Gilula, Z., G.I., Swartz, T., 1997. Bayesian analysis of stochastically ordered distributions of categorical variables. J. Amer. Statist. Assoc. 92, 208-214.
  • 11
    • 0001106386 scopus 로고
    • Maximum likelihood estimation of the survival functions of N stochastically ordered random variables
    • Feltz C., and Dykstra R. Maximum likelihood estimation of the survival functions of N stochastically ordered random variables. J. Amer. Statist. Assoc. 80 (1985) 1012-1019
    • (1985) J. Amer. Statist. Assoc. , vol.80 , pp. 1012-1019
    • Feltz, C.1    Dykstra, R.2
  • 12
    • 0000780135 scopus 로고
    • Prior distributions on spaces of probability measures
    • Ferguson T. Prior distributions on spaces of probability measures. Ann. Statist. 2 (1974) 615-629
    • (1974) Ann. Statist. , vol.2 , pp. 615-629
    • Ferguson, T.1
  • 13
    • 0036404961 scopus 로고    scopus 로고
    • Minimum distance estimation of the distribution functions of stochastically ordered random variables
    • Gangnon R., and King W. Minimum distance estimation of the distribution functions of stochastically ordered random variables. Appl. Statist. 51 (2002) 485-502
    • (2002) Appl. Statist. , vol.51 , pp. 485-502
    • Gangnon, R.1    King, W.2
  • 14
    • 6644223092 scopus 로고    scopus 로고
    • Nonparametric Bayesian modeling for stochastic order
    • Gelfand A., and Kottas A. Nonparametric Bayesian modeling for stochastic order. Ann. Inst. Statist. Math. 53 (2001) 865-876
    • (2001) Ann. Inst. Statist. Math. , vol.53 , pp. 865-876
    • Gelfand, A.1    Kottas, A.2
  • 15
    • 23044524262 scopus 로고    scopus 로고
    • Constrained nonparametric maximum likelihood via mixtures
    • Hoff P. Constrained nonparametric maximum likelihood via mixtures. J. Comput. Graphical Statist. 9 (2000) 633-641
    • (2000) J. Comput. Graphical Statist. , vol.9 , pp. 633-641
    • Hoff, P.1
  • 16
    • 3843074062 scopus 로고    scopus 로고
    • Bayesian methods for partial stochastic orderings
    • Hoff P. Bayesian methods for partial stochastic orderings. Biometrika 90 (2003) 303-317
    • (2003) Biometrika , vol.90 , pp. 303-317
    • Hoff, P.1
  • 17
    • 3843049986 scopus 로고    scopus 로고
    • Identifying carriers of a genetic modifier using nonparametric Bayes methods
    • Gatsonis C., Kass R., Carlin B., Carriquiry A., Gelman A., Verdinelli I., and West M. (Eds), Springer, New York
    • Hoff P., Halberg R., Shedlovsky A., Dove W., and Newton M. Identifying carriers of a genetic modifier using nonparametric Bayes methods. In: Gatsonis C., Kass R., Carlin B., Carriquiry A., Gelman A., Verdinelli I., and West M. (Eds). Case Studies In Bayesian Statistics (2001), Springer, New York
    • (2001) Case Studies In Bayesian Statistics
    • Hoff, P.1    Halberg, R.2    Shedlovsky, A.3    Dove, W.4    Newton, M.5
  • 18
    • 21144477858 scopus 로고
    • Some aspects of Pólya tree distributions for statistical modeling
    • Lavine M. Some aspects of Pólya tree distributions for statistical modeling. Ann. Statist. 20 (1992) 1222-1235
    • (1992) Ann. Statist. , vol.20 , pp. 1222-1235
    • Lavine, M.1
  • 19
    • 0001933217 scopus 로고
    • Maximum likelihood estimates for stochastically ordered multinomial populations with fixed and random zeroes
    • MacNeill I., and Umphrey G. (Eds), D. Reidel, Dordrecht
    • Lee C. Maximum likelihood estimates for stochastically ordered multinomial populations with fixed and random zeroes. In: MacNeill I., and Umphrey G. (Eds). Foundations of Statistical Inference (1987), D. Reidel, Dordrecht
    • (1987) Foundations of Statistical Inference
    • Lee, C.1
  • 20
    • 0000589608 scopus 로고
    • Ordered families of distributions
    • Lehmann E. Ordered families of distributions. Ann. Math. Statist. 26 (1955) 399-419
    • (1955) Ann. Math. Statist. , vol.26 , pp. 399-419
    • Lehmann, E.1
  • 21
    • 21144459642 scopus 로고
    • Invariant directional orderings
    • Lehmann E., and Rojo J. Invariant directional orderings. Ann. Statist. 20 (1992) 2100-2110
    • (1992) Ann. Statist. , vol.20 , pp. 2100-2110
    • Lehmann, E.1    Rojo, J.2
  • 22
    • 0011137053 scopus 로고
    • Estimation of distribution functions under order restrictions
    • Lo S. Estimation of distribution functions under order restrictions. Statist. Decisions 5 (1987) 251-262
    • (1987) Statist. Decisions , vol.5 , pp. 251-262
    • Lo, S.1
  • 23
    • 0033441233 scopus 로고    scopus 로고
    • Bayesian density estimation using Bernstein polynomials
    • Petrone S. Bayesian density estimation using Bernstein polynomials. Canadian J. Statist. 27 (1999) 105-126
    • (1999) Canadian J. Statist. , vol.27 , pp. 105-126
    • Petrone, S.1
  • 24
    • 0033244554 scopus 로고    scopus 로고
    • Random Bernstein polynomials
    • Petrone S. Random Bernstein polynomials. Scand. J. Statist. 26 (1999) 373-393
    • (1999) Scand. J. Statist. , vol.26 , pp. 373-393
    • Petrone, S.1
  • 25
    • 0040650429 scopus 로고
    • On the maximum likelihood estimation of stochastically ordered random variates
    • Robertson T., and Wright F. On the maximum likelihood estimation of stochastically ordered random variates. Ann. Statist. 2 (1974) 528-534
    • (1974) Ann. Statist. , vol.2 , pp. 528-534
    • Robertson, T.1    Wright, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.