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Volumn 20, Issue 5, 2008, Pages 447-457

Posterior analysis for some classes of nonparametric models

Author keywords

Bayesian nonparametrics; Completely random measure; Hazard rate; Multiplicative intensity model; Neutral to the right prior

Indexed keywords


EID: 47549099391     PISSN: 10485252     EISSN: 10290311     Source Type: Journal    
DOI: 10.1080/10485250802196364     Document Type: Article
Times cited : (7)

References (30)
  • 2
    • 0001876649 scopus 로고
    • On a class of Bayesian nonparametric estimates: I. density estimates
    • A.Y. Lo, On a class of Bayesian nonparametric estimates: i. density estimates, Ann. Statist. 12 (1984), pp. 351-357.
    • (1984) Ann. Statist , vol.12 , pp. 351-357
    • Lo, A.Y.1
  • 3
    • 0000396415 scopus 로고
    • On a class of Bayesian nonparametric estimates: II. Hazard rate estimates
    • A.Y. Lo and C.-S. Weng, On a class of Bayesian nonparametric estimates: II. Hazard rate estimates, Ann. Inst. Statist. Math. 41 (1989), pp. 227-245.
    • (1989) Ann. Inst. Statist. Math , vol.41 , pp. 227-245
    • Lo, A.Y.1    Weng, C.-S.2
  • 5
    • 26444603040 scopus 로고    scopus 로고
    • Bayesian Poisson process partition calculus with an application to Bayesian Lévy moving averages
    • L.F. James, Bayesian Poisson process partition calculus with an application to Bayesian Lévy moving averages, Ann. Statist. 33 (2005), pp. 1771-1799.
    • (2005) Ann. Statist , vol.33 , pp. 1771-1799
    • James, L.F.1
  • 6
    • 0000047140 scopus 로고
    • Nonparametric inference for a family of counting processes
    • O. Aalen, Nonparametric inference for a family of counting processes, Ann. Statist. 6 (1978), pp. 701-726.
    • (1978) Ann. Statist , vol.6 , pp. 701-726
    • Aalen, O.1
  • 7
    • 0001511357 scopus 로고
    • A Bayesian nonparametric approach to reliability
    • R.L. Dykstra and P.W. Laud, A Bayesian nonparametric approach to reliability, Ann. Statist. 9 (1981), pp. 356-367.
    • (1981) Ann. Statist , vol.9 , pp. 356-367
    • Dykstra, R.L.1    Laud, P.W.2
  • 8
    • 2142830935 scopus 로고    scopus 로고
    • Computational methods for multiplicative intensity models using weighted gamma processes: Proportional hazards, marked point processes, and panel count data
    • H. Ishwaran and L.F. James, Computational methods for multiplicative intensity models using weighted gamma processes: proportional hazards, marked point processes, and panel count data, J. Amer. Stat. Assoc. 99 (2004), pp. 175-190.
    • (2004) J. Amer. Stat. Assoc , vol.99 , pp. 175-190
    • Ishwaran, H.1    James, L.F.2
  • 9
    • 0348146266 scopus 로고    scopus 로고
    • Bayesian calculus for gamma processes with applications to semiparametric intensity models
    • L.F. James, Bayesian calculus for gamma processes with applications to semiparametric intensity models, Sankhya 65 (2003), pp. 179-206.
    • (2003) Sankhya , vol.65 , pp. 179-206
    • James, L.F.1
  • 10
    • 12344337317 scopus 로고    scopus 로고
    • Bayesian nonparametric survival analysis via Lévy driven Markov processes
    • L.E. Nieto-Barajas and S.G. Walker, Bayesian nonparametric survival analysis via Lévy driven Markov processes, Statist. Sinica 14 (2004), pp. 1127-1146.
    • (2004) Statist. Sinica , vol.14 , pp. 1127-1146
    • Nieto-Barajas, L.E.1    Walker, S.G.2
  • 11
    • 0001121317 scopus 로고    scopus 로고
    • Poisson/gamma random field models for spatial statistics
    • R. Wolpert and K. Ickstadt, Poisson/gamma random field models for spatial statistics, Biometrika 85 (1998), pp. 251-267.
    • (1998) Biometrika , vol.85 , pp. 251-267
    • Wolpert, R.1    Ickstadt, K.2
  • 12
    • 33744827696 scopus 로고    scopus 로고
    • Poisson calculus for spatial neutral to the right processes
    • L.F. James, Poisson calculus for spatial neutral to the right processes, Ann. Statist. 34 (2006), pp. 416-440.
    • (2006) Ann. Statist , vol.34 , pp. 416-440
    • James, L.F.1
  • 13
    • 0000111818 scopus 로고
    • Tailfree and neutral random probabilities and their posterior distributions
    • K. Doksum, Tailfree and neutral random probabilities and their posterior distributions, Ann. Probab. 2 (1974), pp. 183-201.
    • (1974) Ann. Probab , vol.2 , pp. 183-201
    • Doksum, K.1
  • 14
    • 3843126281 scopus 로고    scopus 로고
    • Exponential functionals and means of neutral-to-the-right priors
    • I. Epifani,A. Lijoi, and I. Prünster, Exponential functionals and means of neutral-to-the-right priors, Biometrika 90 (2003), pp. 791-808.
    • (2003) Biometrika , vol.90 , pp. 791-808
    • Epifani, I.1    Lijoi, A.2    Prünster, I.3
  • 15
    • 0000525603 scopus 로고
    • Bayesian nonparametric estimation based on censored data
    • T.S. Ferguson and E.G. Phadia, Bayesian nonparametric estimation based on censored data, Ann. Statist. 7 (1979), pp. 163-186.
    • (1979) Ann. Statist , vol.7 , pp. 163-186
    • Ferguson, T.S.1    Phadia, E.G.2
  • 16
    • 0032339701 scopus 로고    scopus 로고
    • A full Bayesian nonparametric analysis involving a neutral to the right process
    • S. Walker, and P. Damien, A full Bayesian nonparametric analysis involving a neutral to the right process, Scand. J. Statist. 25 (1998), pp. 669-680.
    • (1998) Scand. J. Statist , vol.25 , pp. 669-680
    • Walker, S.1    Damien, P.2
  • 17
    • 0031508902 scopus 로고    scopus 로고
    • Beta-stacy processes and a generalization of the pólya-urn scheme
    • S.Walker and P. Muliere, Beta-stacy processes and a generalization of the pólya-urn scheme,Ann. Statist. 25 (1997), pp. 1762-1780.
    • (1997) Ann. Statist , vol.25 , pp. 1762-1780
    • Walker, S.1    Muliere, P.2
  • 18
    • 0001241617 scopus 로고
    • Nonparametric Bayes estimators based on beta processes in models for life history data
    • N.L. Hjort, Nonparametric Bayes estimators based on beta processes in models for life history data, Ann. Statist. 18 (1990), pp. 1259-1294.
    • (1990) Ann. Statist , vol.18 , pp. 1259-1294
    • Hjort, N.L.1
  • 19
    • 33847351562 scopus 로고    scopus 로고
    • Proportional hazard regression models. Bayesian analysis using Beta processes
    • P. De Blasi and N.L. Hjort, Proportional hazard regression models. Bayesian analysis using Beta processes, Scand. J. Statist. 34 (2007), pp. 229-257.
    • (2007) Scand. J. Statist , vol.34 , pp. 229-257
    • De Blasi, P.1    Hjort, N.L.2
  • 20
    • 0033471036 scopus 로고    scopus 로고
    • Nonparametric Bayesian estimators for counting processes
    • Y. Kim, Nonparametric Bayesian estimators for counting processes, Ann. Statist. 27 (1999), pp. 562-588.
    • (1999) Ann. Statist , vol.27 , pp. 562-588
    • Kim, Y.1
  • 21
    • 0037688249 scopus 로고    scopus 로고
    • Bayesian analysis of proportional hazard models
    • Y. Kim and J. Lee, Bayesian analysis of proportional hazard models, Ann. Statist. 31 (2003), pp. 493-511.
    • (2003) Ann. Statist , vol.31 , pp. 493-511
    • Kim, Y.1    Lee, J.2
  • 22
    • 47549095148 scopus 로고    scopus 로고
    • A note on the problem of heaps
    • A. Lijoi and I. Prünster, A note on the problem of heaps, Sankhya 66 (2004), pp. 234-242.
    • (2004) Sankhya , vol.66 , pp. 234-242
    • Lijoi, A.1    Prünster, I.2
  • 24
    • 0038702581 scopus 로고    scopus 로고
    • Distributional results for means of random measures with independent increments
    • E. Regazzini, A. Lijoi, and I. Prünster, Distributional results for means of random measures with independent increments, Ann. Statist. 31 (2003), pp. 560-585.
    • (2003) Ann. Statist , vol.31 , pp. 560-585
    • Regazzini, E.1    Lijoi, A.2    Prünster, I.3
  • 25
    • 60249093564 scopus 로고    scopus 로고
    • L.F. James,A.Lijoi, andI.Prünster,Posterioranalysis for normalized random measures with independent increments, Scand. J. Statist. (2008). DOI: 10.1111/j.1467-9469.2008.00609.x.
    • L.F. James,A.Lijoi, andI.Prünster,Posterioranalysis for normalized random measures with independent increments, Scand. J. Statist. (2008). DOI: 10.1111/j.1467-9469.2008.00609.x.
  • 26
    • 0012675485 scopus 로고
    • A stochastic process interpretation of partition identities
    • G.M. Constantine and T.H. Savits, A stochastic process interpretation of partition identities, SIAM J. Discrete Math. 7 (1994), pp. 194-202.
    • (1994) SIAM J. Discrete Math , vol.7 , pp. 194-202
    • Constantine, G.M.1    Savits, T.H.2
  • 27
    • 84969653882 scopus 로고
    • Completely random measures
    • J.F.C. Kingman, Completely random measures, Pacific J. Math. 21 (1967), pp. 59-78.
    • (1967) Pacific J. Math , vol.21 , pp. 59-78
    • Kingman, J.F.C.1
  • 30
    • 0345058994 scopus 로고    scopus 로고
    • A simple proof of the almost sure discreteness of a class of random measures
    • L.F. James, A simple proof of the almost sure discreteness of a class of random measures, Statist. Probab. Lett. 65 (2003), pp. 363-368.
    • (2003) Statist. Probab. Lett , vol.65 , pp. 363-368
    • James, L.F.1


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