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Volumn 8, Issue 3, 2005, Pages 283-309

Bayesian nonparametric analysis for a generalized Dirichlet process prior

Author keywords

Bayesian nonparametric inference; Dirichlet process; Generalized gamma convolutions; Lauricella hypergeometric functions; Means of random probability measures; Predictive distributions

Indexed keywords


EID: 24344458924     PISSN: 13870874     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11203-005-6071-z     Document Type: Article
Times cited : (41)

References (41)
  • 1
    • 0037689170 scopus 로고    scopus 로고
    • Moments of the mean of Dubins-Freedman random probability distributions
    • Allaart, P.: Moments of the mean of Dubins-Freedman random probability distributions, J. Theor. Probab. 16 (2003), 471-488.
    • (2003) J. Theor. Probab. , vol.16 , pp. 471-488
    • Allaart, P.1
  • 3
    • 0036031727 scopus 로고    scopus 로고
    • Random probability measures with given mean and variance
    • Bloomer, L. and Hill, T. P.: Random probability measures with given mean and variance, J. Theor. Probab. 14 (2002), 919-937.
    • (2002) J. Theor. Probab. , vol.14 , pp. 919-937
    • Bloomer, L.1    Hill, T.P.2
  • 5
    • 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.: Considerazioni generali sull'impostazione bayesiana di problemi non parametrici. Le medie associative nel contesto del processo aleatorio di Dirichlet. Parte II, Rivista di matematica per le scienze economiche e sociali 1 (1979), 95-111.
    • (1979) Rivista di Matematica per le Scienze Economiche e Sociali , vol.1 , pp. 95-111
    • Cifarelli, D.M.1    Regazzini, E.2
  • 6
    • 0000771631 scopus 로고
    • Distribution functions of means of a Dirichlet process
    • (Correction in Ann. Statist. 22 (1994), 1633-1634)
    • Cifarelli, D. M. and Regazzini, E.: Distribution functions of means of a Dirichlet process, Ann. Stat. 18 (1990), 429-442 (Correction in Ann. Statist. 22 (1994), 1633-1634).
    • (1990) Ann. Stat. , vol.18 , pp. 429-442
    • Cifarelli, D.M.1    Regazzini, E.2
  • 7
    • 3843126281 scopus 로고    scopus 로고
    • Exponential functionals and means of neutral-to-the-right priors
    • Epifani, I., Lijoi, A. and Prünster, I.: Exponential functionals and means of neutral-to-the-right priors, Biometrika 90 (2003), 791-808.
    • (2003) Biometrika , vol.90 , pp. 791-808
    • Epifani, I.1    Lijoi, A.2    Prünster, I.3
  • 8
    • 21344479762 scopus 로고
    • Estimating normal means with a Dirichlet process prior
    • Escobar, M. D.: Estimating normal means with a Dirichlet process prior, J. Am. Stat. Ass. 89 (1994), 268-277.
    • (1994) J. Am. Stat. Ass. , vol.89 , pp. 268-277
    • Escobar, M.D.1
  • 9
    • 84950937290 scopus 로고
    • Bayesian density estimation and inference using mixtures
    • Escobar, M. D. and West, M.: Bayesian density estimation and inference using mixtures, J. Am. Stat. Ass. 90 (1995), 577-588.
    • (1995) J. Am. Stat. Ass. , vol.90 , pp. 577-588
    • Escobar, M.D.1    West, M.2
  • 11
    • 0001120413 scopus 로고
    • A Bayesian analysis of some nonparametric problems
    • Ferguson, T. S.: A Bayesian analysis of some nonparametric problems, Ann. Stat. 1 (1973), 209-230.
    • (1973) Ann. Stat. , vol.1 , pp. 209-230
    • Ferguson, T.S.1
  • 12
    • 0000202123 scopus 로고
    • On the asymptotic behavior of Bayes' estimates in the discrete case
    • Freedman, D. A.: On the asymptotic behavior of Bayes' estimates in the discrete case, Ann. Math. Stat. 34 (1963), 1386-1403.
    • (1963) Ann. Math. Stat. , vol.34 , pp. 1386-1403
    • Freedman, D.A.1
  • 13
    • 0012952317 scopus 로고
    • Random alms
    • Halmos, P.: Random alms, Ann. Math. Stat. 15 (1944), 182-189.
    • (1944) Ann. Math. Stat. , vol.15 , pp. 182-189
    • Halmos, P.1
  • 14
    • 0038785429 scopus 로고    scopus 로고
    • Topics in non-parametric Bayesian statistics
    • P. J. Green et al. (eds), Oxford University Press, Oxford, Oxford Statistical Science Series
    • Hjort, N. L.: Topics in non-parametric Bayesian statistics, In: P. J. Green et al. (eds), Highly Structured Stochastic Systems, Oxford University Press, Oxford, Oxford Statistical Science Series 27 (2003), 455-478.
    • (2003) Highly Structured Stochastic Systems , vol.27 , pp. 455-478
    • Hjort, N.L.1
  • 15
    • 1842816362 scopus 로고    scopus 로고
    • Gibbs sampling methods for stick-breaking priors
    • Ishwaran, H. and James, L. F.: Gibbs sampling methods for stick-breaking priors, J. Am. Stat. Ass. 96 (2001), 161-173.
    • (2001) J. Am. Stat. Ass. , vol.96 , pp. 161-173
    • Ishwaran, H.1    James, L.F.2
  • 16
    • 24344452190 scopus 로고    scopus 로고
    • Some further developments for stick-breaking priors: Finite and infinite clustering and classification
    • Ishwaran, H. and James, L. F.: Some further developments for stick-breaking priors: finite and infinite clustering and classification, Sankhya 65 (2003), 577-592.
    • (2003) Sankhya , vol.65 , pp. 577-592
    • Ishwaran, H.1    James, L.F.2
  • 17
    • 29144528968 scopus 로고    scopus 로고
    • Poisson process partition calculus with applications to exchangeable models and bayesian nonparametrics
    • James, L. F.: Poisson Process Partition Calculus with applications to exchangeable models and Bayesian Nonparametrics, Mathematics ArXiv math.PR/0205093 (2002).
    • (2002) Mathematics ArXiv Math.PR/0205093
    • James, L.F.1
  • 20
    • 11644322139 scopus 로고
    • Sulle funzioni ipergeometriche a più variabili
    • Lauricella, G.: Sulle funzioni ipergeometriche a più variabili, Rend. Circ. Mat. Palermo 7 (1893), 111-158.
    • (1893) Rend. Circ. Mat. Palermo , vol.7 , pp. 111-158
    • Lauricella, G.1
  • 21
    • 24344439918 scopus 로고    scopus 로고
    • Hierarchical mixture modelling with normalized inverse Gaussian priors
    • Lijoi, A., Mena, R. H. and Prünster, I.: Hierarchical mixture modelling with normalized inverse Gaussian priors, ICER Working Papers 12/04 (2004).
    • (2004) ICER Working Papers , vol.12 , Issue.4
    • Lijoi, A.1    Mena, R.H.2    Prünster, I.3
  • 22
    • 3042549467 scopus 로고    scopus 로고
    • Means of a Dirichlet process and multiple hypergeometric functions
    • Lijoi, A. and Regazzini, E.: Means of a Dirichlet process and multiple hypergeometric functions, Ann. Probab. 32 (2004), 1469-1495.
    • (2004) Ann. Probab. , vol.32 , pp. 1469-1495
    • Lijoi, A.1    Regazzini, E.2
  • 23
    • 84972808999 scopus 로고
    • Estimating normal means with a conjugate style Dirichlet process prior
    • MacEachern, S. N.: Estimating normal means with a conjugate style Dirichlet process prior, Commun. Statist. Simulation Comp. 23 (1994), 727-741.
    • (1994) Commun. Statist. Simulation Comp. , vol.23 , pp. 727-741
    • MacEachern, S.N.1
  • 25
    • 21644433245 scopus 로고    scopus 로고
    • Normalized random measures driven by increasing additive processes
    • to appear
    • Nieto-Barajas, L. E., Prünster, I. and Walker, S. G.: Normalized random measures driven by increasing additive processes, Ann. Stat. 32 (2004), to appear.
    • (2004) Ann. Stat. , vol.32
    • Nieto-Barajas, L.E.1    Prünster, I.2    Walker, S.G.3
  • 26
    • 0002606820 scopus 로고    scopus 로고
    • A note on the Dirichlet process prior in Bayesian nonparametric inference with partial exchangeability
    • Petrone, S. and Raftery, A. E.: A note on the Dirichlet process prior in Bayesian nonparametric inference with partial exchangeability, Stat. Prob. Lett. 36 (1997), 69-83.
    • (1997) Stat. Prob. Lett. , vol.36 , pp. 69-83
    • Petrone, S.1    Raftery, A.E.2
  • 27
    • 21844504293 scopus 로고
    • Exchangeable and partially exchangeable random partitions
    • Pitman, J.: Exchangeable and partially exchangeable random partitions, Prob. Theory Related Fields 102 (1995), 145-158.
    • (1995) Prob. Theory Related Fields , vol.102 , pp. 145-158
    • Pitman, J.1
  • 28
    • 0000130672 scopus 로고    scopus 로고
    • Some developments of the Blackwell-MacQueen urn scheme
    • T. S. Ferguson et al. (eds), Institute of Mathematical Statistics, Hayward, Lecture Notes, Monograph Series
    • Pitman, J.: Some developments of the Blackwell-MacQueen urn scheme, In: T. S. Ferguson et al. (eds), Statistics, probability and game theory. Papers in honor of David Blackwell, Institute of Mathematical Statistics, Hayward, Lecture Notes, Monograph Series Vol 30, 1996, pp. 245-267.
    • (1996) Statistics, Probability and Game Theory. Papers in Honor of David Blackwell , vol.30 , pp. 245-267
    • Pitman, J.1
  • 29
    • 18244380018 scopus 로고    scopus 로고
    • Poisson-Kingman partitions
    • Goldstein, D.R. (ed), Institute of Mathematical Statistics, Hayward, Lecture Notes, Monograph Series
    • Pitman, J.: Poisson-Kingman partitions. In: Goldstein, D.R. (ed), Science and Statistics: A Festschrift for Terry Speed, Institute of Mathematical Statistics, Hayward, Lecture Notes, Monograph Series, Vol 40, 2003, pp. 1-35.
    • (2003) Science and Statistics: A Festschrift for Terry Speed , vol.40 , pp. 1-35
    • Pitman, J.1
  • 30
    • 0031534984 scopus 로고    scopus 로고
    • The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator
    • Pitman, J. and Yor, M.: The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator, Ann. Prob. 25 (1997), 855-900.
    • (1997) Ann. Prob. , vol.25 , pp. 855-900
    • Pitman, J.1    Yor, M.2
  • 33
    • 0041612496 scopus 로고    scopus 로고
    • An example of the interplay between statistics and special functions
    • Ace. Naz. Lincei e Acc. Scienze Torino, Roma, Atti dei Convegni Lincei
    • Regazzini, E.: An example of the interplay between statistics and special functions, In: Tricomi's ideas and contemporary applied mathematics, Ace. Naz. Lincei e Acc. Scienze Torino, Roma, Atti dei Convegni Lincei Vol. 147, 1998, pp. 303-320.
    • (1998) Tricomi's Ideas and Contemporary Applied Mathematics , vol.147 , pp. 303-320
    • Regazzini, E.1
  • 35
    • 0036432576 scopus 로고    scopus 로고
    • Theory and numerical analysis for exact distribution of functionals of a Dirichlet process
    • Regazzini, E., Guglielmi, A. and Di Nunno, G.: Theory and numerical analysis for exact distribution of functionals of a Dirichlet process, Ann. Stat. 30 (2002), 1376-1411.
    • (2002) Ann. Stat. , vol.30 , pp. 1376-1411
    • Regazzini, E.1    Guglielmi, A.2    Di Nunno, G.3
  • 36
    • 0038702581 scopus 로고    scopus 로고
    • Distributional results for means of random measures with independent increments
    • Regazzini, E., Lijoi, A. and Prünster, I.: Distributional results for means of random measures with independent increments, Ann. Stat. 31 (2003), 560-585.
    • (2003) Ann. Stat. , vol.31 , pp. 560-585
    • Regazzini, E.1    Lijoi, A.2    Prünster, I.3
  • 38
    • 0000720609 scopus 로고
    • A constructive definition of Dirichlet priors
    • Sethuraman, J.: A constructive definition of Dirichlet priors, Stat. Sinica 4 (1994), 639-650.
    • (1994) Stat. Sinica , vol.4 , pp. 639-650
    • Sethuraman, J.1
  • 40
    • 0032339701 scopus 로고    scopus 로고
    • A full Bayesian non-parametric analysis involving a neutral to the right process
    • Walker, S. G. and Damien, P.: A full Bayesian non-parametric analysis involving a neutral to the right process, Scand. J. Stat. 25 (1998), 669-680.
    • (1998) Scand. J. Stat. , vol.25 , pp. 669-680
    • Walker, S.G.1    Damien, P.2
  • 41
    • 0001541832 scopus 로고    scopus 로고
    • Bayesian nonparametric inference for random distributions and related functions
    • Walker, S. G., Damien, P., Laud, P. W. and Smith, A. F. M.: Bayesian nonparametric inference for random distributions and related functions, J. Roy. Stat. Soc. Ser. B 61 (1999), 485-527.
    • (1999) J. Roy. Stat. Soc. Ser. B , vol.61 , pp. 485-527
    • Walker, S.G.1    Damien, P.2    Laud, P.W.3    Smith, A.F.M.4


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