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Volumn 28, Issue 2, 2013, Pages 209-222

Defining predictive probability functions for species sampling models

Author keywords

Exchangeable partition probability functions; Prediction probability functions; Species sampling prior

Indexed keywords


EID: 84878613484     PISSN: 08834237     EISSN: None     Source Type: Journal    
DOI: 10.1214/12-STS407     Document Type: Article
Times cited : (38)

References (38)
  • 1
    • 0000257224 scopus 로고
    • Empirical Bayes estimation of a binomial parameter via mixtures of Dirichlet processes
    • MR0527491
    • BERRY, D. A. and CHRISTENSEN, R. (1979). Empirical Bayes estimation of a binomial parameter via mixtures of Dirichlet processes. Ann. Statist. 7 558-568. MR0527491
    • (1979) Ann. Statist. , vol.7 , pp. 558-568
    • Berry, D.A.1    Christensen, R.2
  • 2
    • 0002617436 scopus 로고
    • Ferguson distributions via Pólya urn schemes
    • MR0362614
    • BLACKWELL, D., and MACQUEEN, J. B. (1973). Ferguson distributions via Pólya urn schemes. Ann. Statist. 1 353-355. MR0362614
    • (1973) Ann. Statist. , vol.1 , pp. 353-355
    • Blackwell, D.1    Macqueen, J.B.2
  • 3
    • 0033333437 scopus 로고    scopus 로고
    • Generalized gamma measures, and shot-noise Cox processes
    • MR1747450
    • BRIX, A. (1999). Generalized gamma measures, and shot-noise Cox processes. Adv. in Appl. Probab. 31 929-953. MR1747450
    • (1999) Adv. in Appl. Probab. , vol.31 , pp. 929-953
    • Brix, A.1
  • 4
    • 84950937290 scopus 로고
    • Bayesian density estimation, and inference using mixtures
    • MR1340510
    • ESCOBAR, M. D., and WEST, M. (1995). Bayesian density estimation, and inference using mixtures. J. Amer. Statist. Assoc. 90 577-588. MR1340510
    • (1995) J. Amer. Statist. Assoc. , vol.90 , pp. 577-588
    • Escobar, M.D.1    West, M.2
  • 5
    • 0001120413 scopus 로고
    • A Bayesian analysis of some nonparametric problems
    • MR0350949
    • FERGUSON, T. S. (1973). A Bayesian analysis of some nonparametric problems. Ann. Statist. 1 209-230. MR0350949
    • (1973) Ann. Statist. , vol.1 , pp. 209-230
    • Ferguson, T.S.1
  • 6
    • 0001411887 scopus 로고
    • A representation of independent increment processes without Gaussian components
    • MR0373022
    • FERGUSON, T. S., and KLASS, M. J. (1972). A representation of independent increment processes without Gaussian components. Ann. Math. Statist. 43 1634-1643. MR0373022
    • (1972) Ann. Math. Statist. , vol.43 , pp. 1634-1643
    • Ferguson, T.S.1    Klass, M.J.2
  • 7
    • 0013128447 scopus 로고    scopus 로고
    • Exchangeability, predictive distributions, and parametric models
    • MR1769738
    • FORTINI, S., LADELLI, L., and REGAZZINI, E. (2000). Exchangeability, predictive distributions, and parametric models. Sankhy-a Ser. A 62 86-109. MR1769738
    • (2000) Sankhy-a Ser. A , vol.62 , pp. 86-109
    • Fortini, S.1    Ladelli, L.2    Regazzini, E.3
  • 10
    • 33748669419 scopus 로고    scopus 로고
    • Exchangeable Gibbs partitions, and Stirling triangles
    • GNEDIN, A., and PITMAN, J. (2006). Exchangeable Gibbs partitions, and Stirling triangles. J. Math. Sci. 138 5674-5685.
    • (2006) J. Math. Sci. , vol.138 , pp. 5674-5685
    • Gnedin, A.1    Pitman, J.2
  • 12
    • 0346338291 scopus 로고    scopus 로고
    • Generalized weighted Chinese restaurant processes for species sampling mixture models
    • MR2026070
    • ISHWARAN, H., and JAMES, L. F. (2003). Generalized weighted Chinese restaurant processes for species sampling mixture models. Statist. Sinica 13 1211-1235. MR2026070
    • (2003) Statist. Sinica , vol.13 , pp. 1211-1235
    • Ishwaran, H.1    James, L.F.2
  • 13
    • 77649205934 scopus 로고    scopus 로고
    • Large sample asymptotics for the twoparameter Poisson-Dirichlet process Pushing the Limits of Contemporary Statistics: Contributions in Honor of Jayanta K.
    • IMS, Beachwood, OH. MR2459225
    • JAMES, L. F. (2008). Large sample asymptotics for the twoparameter Poisson-Dirichlet process. In Pushing the Limits of Contemporary Statistics: Contributions in Honor of Jayanta K. Ghosh. Inst. Math. Stat. Collect. 3 187-199. IMS, Beachwood, OH. MR2459225
    • (2008) Ghosh. Inst. Math. Stat. Collect. 3 , pp. 187-199
    • James, L.F.1
  • 14
    • 60249093564 scopus 로고    scopus 로고
    • Posterior analysis for normalized random measures with independent increments
    • MR2508332
    • JAMES, L. F., LIJOI, A., and PRÜNSTER, I. (2009). Posterior analysis for normalized random measures with independent increments. Scand. J. Stat. 36 76-97. MR2508332
    • (2009) Scand. J. Stat. , vol.36 , pp. 76-97
    • James, L.F.1    Lijoi, A.2    Prünster, I.3
  • 15
    • 77953303954 scopus 로고    scopus 로고
    • Posterior consistency of species sampling priors
    • MR2682631
    • JANG, G. H., LEE, J., and LEE, S. (2010). Posterior consistency of species sampling priors. Statist. Sinica 20 581-593. MR2682631
    • (2010) Statist. Sinica , vol.20 , pp. 581-593
    • Jang, G.H.1    Lee, J.2    Lee, S.3
  • 16
    • 0002453994 scopus 로고
    • Random discrete distribution (with discussion)
    • MR0368264
    • KINGMAN, J. F. C. (1975). Random discrete distribution (with discussion). J. R. Stat. Soc. Ser. B Stat. Methodol. 37 1-22. MR0368264
    • (1975) J. R. Stat. Soc. Ser. B Stat. Methodol. , vol.37 , pp. 1-22
    • Kingman, J.F.C.1
  • 17
    • 84927129559 scopus 로고
    • The representation of partition structures
    • MR0509954
    • KINGMAN, J. F. C. (1978). The representation of partition structures. J. Lond. Math. Soc. (2) 18 374-380. MR0509954
    • (1978) J. Lond. Math. Soc. (2) , vol.18 , pp. 374-380
    • Kingman, J.F.C.1
  • 19
    • 84862893957 scopus 로고    scopus 로고
    • Borrowing strength with nonexchangeable priors over subpopulations
    • MR2959622
    • LEÓN-NOVELO, L., BEKELE, B. N., MÜLLER, P., and QUINTANA, F. A. (2012). Borrowing strength with nonexchangeable priors over subpopulations. Biometrics 68 550- 558. MR2959622
    • (2012) Biometrics , vol.68
    • León-Novelo, L.1    Bekele, B.N.2    Müller, P.3    Quintana, F.A.4
  • 20
    • 29144511286 scopus 로고    scopus 로고
    • Hierarchical mixture modeling with normalized inverse-Gaussian priors
    • MR2236441
    • LIJOI, A., MENA, R. H., and PRÜNSTER, I. (2005). Hierarchical mixture modeling with normalized inverse-Gaussian priors. J. Amer. Statist. Assoc. 100 1278-1291. MR2236441
    • (2005) J. Amer. Statist. Assoc. , vol.100 , pp. 1278-1291
    • Lijoi, A.1    Mena, R.H.2    Prünster, I.3
  • 21
    • 37549060381 scopus 로고    scopus 로고
    • Bayesian nonparametric estimation of the probability of discovering new species
    • MR2416792
    • LIJOI, A., MENA, R. H., and PRÜNSTER, I. (2007). Bayesian nonparametric estimation of the probability of discovering new species. Biometrika 94 769-786. MR2416792
    • (2007) Biometrika , vol.94 , pp. 769-786
    • Lijoi, A.1    Mena, R.H.2    Prünster, I.3
  • 22
    • 29144484266 scopus 로고    scopus 로고
    • On consistency of nonparametric normal mixtures for Bayesian density estimation
    • MR2236442
    • LIJOI, A., PRÜNSTER, I., and WALKER, S. G. (2005). On consistency of nonparametric normal mixtures for Bayesian density estimation. J. Amer. Statist. Assoc. 100 1292-1296. MR2236442
    • (2005) J. Amer. Statist. Assoc. , vol.100 , pp. 1292-1296
    • Lijoi, A.1    Prünster, I.2    Walker, S.G.3
  • 23
    • 60149085871 scopus 로고    scopus 로고
    • Investigating nonparametric priors with Gibbs structure
    • MR2469329
    • LIJOI, A., PRÜNSTER, I. and WALKER, S. G. (2008a). Investigating nonparametric priors with Gibbs structure. Statist. Sinica 18 1653-1668. MR2469329
    • (2008) Statist. Sinica , vol.18 , pp. 1653-1668
    • Lijoi, A.1    Prünster, I.2    Walker, S.G.3
  • 24
    • 52949085493 scopus 로고    scopus 로고
    • Bayesian nonparametric estimators derived from conditional Gibbs structures
    • MR2434179
    • LIJOI, A., PRÜNSTER, I. and WALKER, S. G. (2008b). Bayesian nonparametric estimators derived from conditional Gibbs structures. Ann. Appl. Probab. 18 1519-1547. MR2434179
    • (2008) Ann. Appl. Probab. , vol.18 , pp. 1519-1547
    • Lijoi, A.1    Prünster, I.2    Walker, S.G.3
  • 25
    • 75749084121 scopus 로고    scopus 로고
    • Models beyond the Dirichlet process
    • Cambridge Univ. Press, Cambridge. MR2730661 (N. L. Hjort, C. Holmes, P. Müller, and S. G. Walker, eds.)
    • LIJOI, A., and PRÜNSTER, I. (2010). Models beyond the Dirichlet process. In Bayesian Nonparametrics (N. L. Hjort, C. Holmes, P. Müller, and S. G. Walker, eds.) 80-136. Cambridge Univ. Press, Cambridge. MR2730661
    • (2010) In Bayesian Nonparametrics , pp. 80-136
    • Lijoi, A.1    Prünster, I.2
  • 26
    • 0030487956 scopus 로고    scopus 로고
    • Nonparametric hierarchical Bayes via sequential imputations
    • MR1401830
    • LIU, J. S. (1996). Nonparametric hierarchical Bayes via sequential imputations. Ann. Statist. 24 911-930. MR1401830
    • (1996) Ann. Statist. , vol.24 , pp. 911-930
    • Liu, J.S.1
  • 27
    • 84972808999 scopus 로고
    • Estimating normal means with a conjugate style Dirichlet process prior
    • MR1293996
    • MACEACHERN, S. N. (1994). Estimating normal means with a conjugate style Dirichlet process prior. Comm. Statist. Simulation Comput. 23 727-741. MR1293996
    • (1994) Comm. Statist. Simulation Comput. , vol.23 , pp. 727-741
    • Maceachern, S.N.1
  • 28
    • 0032221058 scopus 로고    scopus 로고
    • Estimating mixtures of Dirichlet process models
    • MACEACHERN, S. N., and MÜLLER, P. (1998). Estimating mixtures of Dirichlet process models. J. Comput. Graph. Statist. 7 223-239.
    • (1998) J. Comput. Graph. Statist. , vol.7 , pp. 223-239
    • Maceachern, S.N.1    Müller, P.2
  • 29
    • 56049096276 scopus 로고    scopus 로고
    • Some issues in nonparametric Bayesian modelling using species sampling models
    • MR2750628
    • NAVARRETE, C., QUINTANA, F. A., and MÜLLER, P. (2008). Some issues in nonparametric Bayesian modelling using species sampling models. Stat. Model. 8 3-21. MR2750628
    • (2008) Stat. Model. , vol.8 , pp. 3-21
    • Navarrete, C.1    Quintana, F.A.2    Müller, P.3
  • 30
    • 21644433245 scopus 로고    scopus 로고
    • Normalized random measures driven by increasing additive processes
    • MR2153987
    • NIETO-BARAJAS, L. E., PRÜNSTER, I., and WALKER, S. G. (2004). Normalized random measures driven by increasing additive processes. Ann. Statist. 32 2343-2360. MR2153987
    • (2004) Ann. Statist. , vol.32 , pp. 2343-2360
    • Nieto-Barajas, L.E.1    Prünster, I.2    Walker, S.G.3
  • 31
    • 0001902647 scopus 로고
    • Size-biased sampling of Poisson point processes, and excursions
    • MR1156448
    • PERMAN, M., PITMAN, J., and YOR, M. (1992). Size-biased sampling of Poisson point processes, and excursions. Probab. Theory Related Fields 92 21-39. MR1156448
    • (1992) Probab. Theory Related Fields , vol.92 , pp. 21-39
    • Perman, M.1    Pitman, J.2    Yor, M.3
  • 32
    • 21844504293 scopus 로고
    • Exchangeable, and partially exchangeable random partitions
    • MR1337249
    • PITMAN, J. (1995). Exchangeable, and partially exchangeable random partitions. Probab. Theory Related Fields 102 145-158. MR1337249
    • (1995) Probab. Theory Related Fields , vol.102 , pp. 145-158
    • Pitman, J.1
  • 35
    • 33745310764 scopus 로고    scopus 로고
    • Combinatorial Stochastic Processes
    • Springer, Berlin
    • PITMAN, J. (2006). Combinatorial Stochastic Processes. Lecture Notes in Math. 1875. Springer, Berlin.
    • (2006) Lecture Notes in Math. , pp. 1875
    • Pitman, J.1
  • 36
    • 0038702581 scopus 로고    scopus 로고
    • Distributional results for means of normalized random measures with independent increments
    • MR1983542
    • REGAZZINI, E., LIJOI, A., and PRÜNSTER, I. (2003). Distributional results for means of normalized random measures with independent increments. Ann. Statist. 31 560-585. MR1983542
    • (2003) Ann. Statist. , vol.31 , pp. 560-585
    • Regazzini, E.1    Lijoi, A.2    Prünster, I.3
  • 37
    • 84865357375 scopus 로고    scopus 로고
    • A class of normalized random measures with an exact predictive sampling scheme
    • TRIPPA, L., and FAVARO, S. (2012). A class of normalized random measures with an exact predictive sampling scheme. Scand. J. Stat. 39 444-460.
    • (2012) Scand. J. Stat. , vol.39 , pp. 444-460
    • Trippa, L.1    Favaro, S.2
  • 38
    • 0001063049 scopus 로고
    • W.E. Johnson's "sufficientness" postulate
    • MR0673645,(1 plate)
    • ZABELL, S. L. (1982). W. E. Johnson's "sufficientness" postulate. Ann. Statist. 10 1090-1099 (1 plate). MR0673645
    • (1982) Ann. Statist. , vol.10 , pp. 1090-1099
    • Zabell, S.L.1


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