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Volumn 32, Issue 6, 2004, Pages 2343-2360

Normalized random measures driven by increasing additive processes

Author keywords

Bayesian nonparametric inference; Distribution of means of random probability measures; Increasing additive process; Levy measure; Mixtures of Dirichlet process

Indexed keywords


EID: 21644433245     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/009053604000000625     Document Type: Article
Times cited : (49)

References (30)
  • 1
    • 0035648379 scopus 로고    scopus 로고
    • Non-Gaussian Ornstein-Uhlenbeck-based models and some of their uses in financial economics
    • BARNDORFF-NIELSEN, O. E. and SHEPHARD, N. (2001). Non-Gaussian Ornstein-Uhlenbeck-based models and some of their uses in financial economics. J. R. Stat. Soc. Ser. B Stat. Methodol. 63 167-241.
    • (2001) J. R. Stat. Soc. Ser. B Stat. Methodol. , vol.63 , pp. 167-241
    • Barndorff-Nielsen, O.E.1    Shephard, N.2
  • 2
    • 0013333655 scopus 로고    scopus 로고
    • Lévy driven CARMA processes. Nonlinear non-Gaussian models and related filtering methods
    • BROCKWELL, P. J. (2001). Lévy driven CARMA processes. Nonlinear non-Gaussian models and related filtering methods. Ann. Inst. Statist. Math. 53 113-124.
    • (2001) Ann. Inst. Statist. Math. , vol.53 , pp. 113-124
    • Brockwell, P.J.1
  • 3
    • 84951600080 scopus 로고
    • Considerazioni generali sull'impostazione bayesiana di problemi non parametrici. Le medie associative nel contesto del processo aleatorio di Dirichlet. Parte II
    • CIFARELLI, D. M. and REGAZZINI, E. (1979). Considerazioni generali sull'impostazione bayesiana di problemi non parametrici. Le medie associative nel contesto del processo aleatorio di Dirichlet. Parte II. Riv. Mat. Sci. Econom. Social. 2 95-111.
    • (1979) Riv. Mat. Sci. Econom. Social. , vol.2 , pp. 95-111
    • Cifarelli, D.M.1    Regazzini, E.2
  • 4
    • 0000771631 scopus 로고
    • Distribution functions of means of a Dirichlet process
    • [Correction (1994) 22 1633-1634.]
    • CIFARELLI, D. M. and REGAZZINI, E. (1990). Distribution functions of means of a Dirichlet process. Ann. Statist. 18 429-442. [Correction (1994) 22 1633-1634.]
    • (1990) Ann. Statist. , vol.18 , pp. 429-442
    • Cifarelli, D.M.1    Regazzini, E.2
  • 5
    • 0042888805 scopus 로고    scopus 로고
    • Tail-behaviour and finiteness of means of distributions chosen from a Dirichlet process
    • CIFARELLI, D. M. and REGAZZINI, E. (1996). Tail-behaviour and finiteness of means of distributions chosen from a Dirichlet process. Technical Report IAMI-CNR 96.19.
    • (1996) Technical Report , vol.IAMI-CNR 96.19
    • Cifarelli, D.M.1    Regazzini, E.2
  • 7
    • 0001511357 scopus 로고
    • A Bayesian nonparametric approach to reliability
    • DYKSTRA, R. L. and LAUD, P. W. (1981). A Bayesian nonparametric approach to reliability. Ann. Statist. 9 356-367.
    • (1981) Ann. Statist. , vol.9 , pp. 356-367
    • Dykstra, R.L.1    Laud, P.W.2
  • 8
    • 3843126281 scopus 로고    scopus 로고
    • Exponential functionals and means of neutral-to-the-right priors
    • EPIFANI, I., LIJOI, A. and PRÜNSTER, I. (2003). Exponential functionals and means of neutral-to-the-right priors. Biometrika 90 791-808.
    • (2003) Biometrika , vol.90 , pp. 791-808
    • Epifani, I.1    Lijoi, A.2    Prünster, I.3
  • 10
    • 84950937290 scopus 로고
    • Bayesian density estimation and inference using mixtures
    • ESCOBAR, M. D. and WEST, M. (1995). Bayesian density estimation and inference using mixtures. J. Amer. Statist. Assoc. 90 577-588.
    • (1995) J. Amer. Statist. Assoc. , vol.90 , pp. 577-588
    • Escobar, M.D.1    West, M.2
  • 11
    • 84974110694 scopus 로고
    • Linear functionals and Markov chains associated with Dirichlet processes
    • FEIGIN, P. D. and TWEEDIE, R. L. (1989). Linear functionals and Markov chains associated with Dirichlet processes. Math. Proc. Cambridge Philos. Soc. 105 579-585.
    • (1989) Math. Proc. Cambridge Philos. Soc. , vol.105 , pp. 579-585
    • Feigin, P.D.1    Tweedie, R.L.2
  • 12
    • 0001120413 scopus 로고
    • A Bayesian analysis of some nonparametric problems
    • FERGUSON, T. S. (1973). A Bayesian analysis of some nonparametric problems. Ann. Statist. 1 209-230.
    • (1973) Ann. Statist. , vol.1 , pp. 209-230
    • Ferguson, T.S.1
  • 13
    • 0001411887 scopus 로고
    • A representation of independent increment processes without Gaussian components
    • FERGUSON, T. S. and KLASS, M. J. (1972). A representation of independent increment processes without Gaussian components. Ann. Math. Statist. 43 1634-1643.
    • (1972) Ann. Math. Statist. , vol.43 , pp. 1634-1643
    • Ferguson, T.S.1    Klass, M.J.2
  • 14
    • 0001232443 scopus 로고
    • A survey of product integration with a view toward application in survival analysis
    • GILL, R. D. and JOHANSEN, S. (1990). A survey of product integration with a view toward application in survival analysis. Ann. Statist. 18 1501-1555.
    • (1990) Ann. Statist. , vol.18 , pp. 1501-1555
    • Gill, R.D.1    Johansen, S.2
  • 15
    • 0010587943 scopus 로고    scopus 로고
    • Markov chain Monte Carlo estimation of the law of the mean of a Dirichlet process
    • GUGLIELMI, A. and TWEEDIE, R. (2001). Markov chain Monte Carlo estimation of the law of the mean of a Dirichlet process. Bernoulli 7 573-592.
    • (2001) Bernoulli , vol.7 , pp. 573-592
    • Guglielmi, A.1    Tweedie, R.2
  • 16
    • 0001196969 scopus 로고
    • Inversion formulae for the distributions of ratios
    • GURLAND, J. (1948). Inversion formulae for the distributions of ratios. Ann. Math. Statist. 19 228-237.
    • (1948) Ann. Math. Statist. , vol.19 , pp. 228-237
    • Gurland, J.1
  • 17
    • 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 1259-1294.
    • (1990) Ann. Statist. , vol.18 , pp. 1259-1294
    • Hjort, N.L.1
  • 18
    • 0038785429 scopus 로고    scopus 로고
    • Topics in nonparametric Bayesian statistics
    • (P. J. Green, N. L. Hjort and S. Richardson, eds.). Oxford Univ. Press
    • HJORT, N. L. (2003). Topics in nonparametric Bayesian statistics. In Highly Structured Stochastic Systems (P. J. Green, N. L. Hjort and S. Richardson, eds.) 455-487. Oxford Univ. Press.
    • (2003) Highly Structured Stochastic Systems , pp. 455-487
    • Hjort, N.L.1
  • 19
    • 3042549467 scopus 로고    scopus 로고
    • Means of a Dirichlet process and multiple hypergeometric functions
    • LIJOI, A. and REGAZZINI, E. (2004). Means of a Dirichlet process and multiple hypergeometric functions. Ann. Probab. 32 1469-1495.
    • (2004) Ann. Probab. , vol.32 , pp. 1469-1495
    • Lijoi, A.1    Regazzini, E.2
  • 20
    • 0001876649 scopus 로고
    • On a class of Bayesian nonparametric estimates. I. Density estimates
    • LO, A. Y. (1984). On a class of Bayesian nonparametric estimates. I. Density estimates. Ann. Statist. 12 351-357.
    • (1984) Ann. Statist. , vol.12 , pp. 351-357
    • Lo, A.Y.1
  • 21
    • 0032221058 scopus 로고    scopus 로고
    • Estimating mixture of Dirichlet process models
    • MACEACHERN, S. N. and MÜLLER, P. (1998). Estimating mixture of Dirichlet process models. J. Comput. Graph. Statist. 7 223-238.
    • (1998) J. Comput. Graph. Statist. , vol.7 , pp. 223-238
    • Maceachern, S.N.1    Müller, P.2
  • 22
    • 0032091593 scopus 로고    scopus 로고
    • Approximating distributions of random functionals of Ferguson-Dirichlet priors
    • MULIERE, P. and TARDELLA, L. (1998). Approximating distributions of random functionals of Ferguson-Dirichlet priors. Canad. J. Statist. 26 283-297.
    • (1998) Canad. J. Statist. , vol.26 , pp. 283-297
    • Muliere, P.1    Tardella, L.2
  • 23
    • 12344337317 scopus 로고    scopus 로고
    • Bayesian nonparametric survival analysis via Lévy driven Markov processes
    • NIETO-BARAJAS, L. E. and WALKER, S. G. (2004). Bayesian nonparametric survival analysis via Lévy driven Markov processes. Statist. Sinica 14 1127-1146.
    • (2004) Statist. Sinica , vol.14 , pp. 1127-1146
    • Nieto-Barajas, L.E.1    Walker, S.G.2
  • 24
    • 0036432576 scopus 로고    scopus 로고
    • Theory and numerical analysis for exact distributions of functionals of a Dirichlet process
    • REGAZZINI, E., GUGLIELMI, A. and DI NUNNO, G. (2002). Theory and numerical analysis for exact distributions of functionals of a Dirichlet process. Ann. Statist. 30 1376-1411.
    • (2002) Ann. Statist. , vol.30 , pp. 1376-1411
    • Regazzini, E.1    Guglielmi, A.2    Di Nunno, G.3
  • 25
    • 0038702581 scopus 로고    scopus 로고
    • Distributional results for means of normalized random measures with independent increments
    • REGAZZINI, E., LIJOI, A. and PRÜNSTER, I. (2003). Distributional results for means of normalized random measures with independent increments. Ann. Statist. 31 560-585.
    • (2003) Ann. Statist. , vol.31 , pp. 560-585
    • Regazzini, E.1    Lijoi, A.2    Prünster, I.3
  • 27
    • 0007247917 scopus 로고    scopus 로고
    • Representations of Levy processes without Gaussian components
    • WALKER, S. G. and DAMIEN, P. (2000). Representations of Levy processes without Gaussian components. Biometrika 87 477-483.
    • (2000) Biometrika , vol.87 , pp. 477-483
    • Walker, S.G.1    Damien, P.2
  • 28
    • 0031508902 scopus 로고    scopus 로고
    • Beta-Stacy processes and a generalization of the Pólyaurn scheme
    • WALKER, S. G. and MULIERE, P. (1997). Beta-Stacy processes and a generalization of the Pólyaurn scheme. Ann. Statist. 25 1762-1780.
    • (1997) Ann. Statist. , vol.25 , pp. 1762-1780
    • Walker, S.G.1    Muliere, P.2
  • 29
    • 0001121317 scopus 로고    scopus 로고
    • Poisson/gamma random field models for spatial statistics
    • WOLPERT, R. L. and ICKSTADT, K. (1998). Poisson/gamma random field models for spatial statistics. Biometrika 85 251-267.
    • (1998) Biometrika , vol.85 , pp. 251-267
    • Wolpert, R.L.1    Ickstadt, K.2
  • 30
    • 10844236847 scopus 로고    scopus 로고
    • A nonparametric Bayesian approach to inverse problems
    • (J. M. Bernardo, M. J. Bayarri, J. O. Berger, A. P. Dawid, D. Heckerman, A. F. M. Smith and M. West, eds.). Oxford Univ. Press
    • WOLPERT, R. L., ICKSTADT, K. and HANSEN, M. B. (2003). A nonparametric Bayesian approach to inverse problems. In Bayesian Statistics 7 (J. M. Bernardo, M. J. Bayarri, J. O. Berger, A. P. Dawid, D. Heckerman, A. F. M. Smith and M. West, eds.) 403-418. Oxford Univ. Press.
    • (2003) Bayesian Statistics , vol.7 , pp. 403-418
    • Wolpert, R.L.1    Ickstadt, K.2    Hansen, M.B.3


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