메뉴 건너뛰기




Volumn 139, Issue 12, 2009, Pages 4179-4192

Bayesian inference for circular distributions with unknown normalising constants

Author keywords

Bayesian inference; Circular statistics; Importance sampling; Markov chain Monte Carlo; Umbrella sampling; von Mises distribution

Indexed keywords


EID: 69249213904     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2009.06.008     Document Type: Article
Times cited : (7)

References (37)
  • 2
    • 60149103563 scopus 로고    scopus 로고
    • The pseudo-marginal approach for efficient Monte Carlo computations
    • Andrieu C., and Roberts G.O. The pseudo-marginal approach for efficient Monte Carlo computations. Annals of Statistics 37 2 (2009) 697-725
    • (2009) Annals of Statistics , vol.37 , Issue.2 , pp. 697-725
    • Andrieu, C.1    Roberts, G.O.2
  • 3
    • 69249233706 scopus 로고    scopus 로고
    • Atchadé, Y.F., Lartillot, N., Robert, C.P., 2008. Bayesian computation for statistical models with intractable normalizing constants. Technical Report. Available at: arxiv.org/pdf/0804.3152.
    • Atchadé, Y.F., Lartillot, N., Robert, C.P., 2008. Bayesian computation for statistical models with intractable normalizing constants. Technical Report. Available at: arxiv.org/pdf/0804.3152.
  • 5
    • 0043210659 scopus 로고    scopus 로고
    • Estimation of population growth or decline in genetically monitored populations
    • Beaumont M.A. Estimation of population growth or decline in genetically monitored populations. Genetics 164 (2003) 1139-1160
    • (2003) Genetics , vol.164 , pp. 1139-1160
    • Beaumont, M.A.1
  • 6
    • 5244304444 scopus 로고
    • Efficient estimation of free energy differences from Monte Carlo data
    • Bennett C.H. Efficient estimation of free energy differences from Monte Carlo data. Journal of Computational Physics 22 (1976) 245-268
    • (1976) Journal of Computational Physics , vol.22 , pp. 245-268
    • Bennett, C.H.1
  • 7
    • 65549116606 scopus 로고    scopus 로고
    • Gibbs sampling based Bayesian analysis of mixtures with unknown number of components
    • Bhattacharya S. Gibbs sampling based Bayesian analysis of mixtures with unknown number of components. Sankhya. Series B 70 (2008) 133-155
    • (2008) Sankhya. Series B , vol.70 , pp. 133-155
    • Bhattacharya, S.1
  • 9
    • 0031527297 scopus 로고    scopus 로고
    • On Monte Carlo methods for estimating ratios of normalizing constants
    • Chen M.H., and Shao Q.M. On Monte Carlo methods for estimating ratios of normalizing constants. The Annals of Statistics 25 (1997) 1563-1594
    • (1997) The Annals of Statistics , vol.25 , pp. 1563-1594
    • Chen, M.H.1    Shao, Q.M.2
  • 10
    • 0033459872 scopus 로고    scopus 로고
    • A full Bayesian analysis of circular data using the von Mises distribution
    • Damien P., and Walker S. A full Bayesian analysis of circular data using the von Mises distribution. The Canadian Journal of Statistics 27 (1999) 291-298
    • (1999) The Canadian Journal of Statistics , vol.27 , pp. 291-298
    • Damien, P.1    Walker, S.2
  • 11
    • 0016824222 scopus 로고
    • Suggestion for a realistic definition of an air quality index relative to hydro-carbonaceous matter associated with airborne particles
    • De Wiest F., and Della Fiorentina H. Suggestion for a realistic definition of an air quality index relative to hydro-carbonaceous matter associated with airborne particles. Atmospheric Environment (1975) 951-954
    • (1975) Atmospheric Environment , pp. 951-954
    • De Wiest, F.1    Della Fiorentina, H.2
  • 14
    • 0000736067 scopus 로고    scopus 로고
    • Simulating normalizing constants: from importance sampling to bridge sampling to path sampling
    • Gelman A., and Meng X.-L. Simulating normalizing constants: from importance sampling to bridge sampling to path sampling. Statistical Science 13 2 (1998) 163-185
    • (1998) Statistical Science , vol.13 , Issue.2 , pp. 163-185
    • Gelman, A.1    Meng, X.-L.2
  • 15
    • 0001667705 scopus 로고
    • Bayesian inference in econometric models using Monte Carlo integration
    • Geweke J. Bayesian inference in econometric models using Monte Carlo integration. Econometrica 57 6 (1989) 1317-1339
    • (1989) Econometrica , vol.57 , Issue.6 , pp. 1317-1339
    • Geweke, J.1
  • 16
    • 0000051109 scopus 로고
    • Constrained Monte Carlo maximum likelihood for dependent data (with discussion)
    • Geyer C.J., and Thompson E.A. Constrained Monte Carlo maximum likelihood for dependent data (with discussion). Journal of the Royal Statistical Society Series B 54 3 (1992) 657-699
    • (1992) Journal of the Royal Statistical Society Series B , vol.54 , Issue.3 , pp. 657-699
    • Geyer, C.J.1    Thompson, E.A.2
  • 18
    • 77956889087 scopus 로고
    • Reversible jump Markov chain Monte Carlo computation and Bayesian model determination
    • Green P.J. Reversible jump Markov chain Monte Carlo computation and Bayesian model determination. Biometrika 82 (1995) 711-732
    • (1995) Biometrika , vol.82 , pp. 711-732
    • Green, P.J.1
  • 24
  • 27
    • 34547679634 scopus 로고    scopus 로고
    • Protein bioinformatics and mixtures of bivariate von Mises distributions for angular data
    • Mardia K.V., Taylor C.C., and Subramaniam G.K. Protein bioinformatics and mixtures of bivariate von Mises distributions for angular data. Biometrics 63 (2007) 505-512
    • (2007) Biometrics , vol.63 , pp. 505-512
    • Mardia, K.V.1    Taylor, C.C.2    Subramaniam, G.K.3
  • 28
    • 0001220882 scopus 로고
    • Nonsense orientation in mallard and its relation to experiments on bird navigation
    • Matthews G.V.T. Nonsense orientation in mallard and its relation to experiments on bird navigation. Ans Platyrhynchos Ibis 103a (1961) 211-230
    • (1961) Ans Platyrhynchos Ibis , vol.103 a , pp. 211-230
    • Matthews, G.V.T.1
  • 29
    • 21444451325 scopus 로고    scopus 로고
    • Simulating ratios of normalizing constants via a simple identity: a theoretical exploration
    • Meng X.L., and Wong W.H. Simulating ratios of normalizing constants via a simple identity: a theoretical exploration. Statistica Sinica 6 (1996) 831-860
    • (1996) Statistica Sinica , vol.6 , pp. 831-860
    • Meng, X.L.1    Wong, W.H.2
  • 30
    • 0000238336 scopus 로고
    • A simplex method for function minimization
    • Nelder J.A., and Mead R. A simplex method for function minimization. Computer Journal 7 (1965) 308-313
    • (1965) Computer Journal , vol.7 , pp. 308-313
    • Nelder, J.A.1    Mead, R.2
  • 31
    • 0000487096 scopus 로고
    • A Monte Carlo method for high dimensional integration
    • Ogata Y. A Monte Carlo method for high dimensional integration. Numerische Mathematik 55 (1989) 137-157
    • (1989) Numerische Mathematik , vol.55 , pp. 137-157
    • Ogata, Y.1
  • 33
    • 18244378520 scopus 로고    scopus 로고
    • On Bayesian analysis of mixtures with an unknown number of components (with discussion)
    • Richardson S., and Green P.J. On Bayesian analysis of mixtures with an unknown number of components (with discussion). Journal of the Royal Statistical Society. Series B 59 (1997) 731-792
    • (1997) Journal of the Royal Statistical Society. Series B , vol.59 , pp. 731-792
    • Richardson, S.1    Green, P.J.2
  • 35
    • 49049108539 scopus 로고    scopus 로고
    • On the constructions of probability distributions for directional data
    • SenGupta A. On the constructions of probability distributions for directional data. Bulletin of the Calcutta Mathematical Association 96 2 (2004) 139-154
    • (2004) Bulletin of the Calcutta Mathematical Association , vol.96 , Issue.2 , pp. 139-154
    • SenGupta, A.1
  • 36
    • 0013138158 scopus 로고    scopus 로고
    • Probabilistic model for two dependent circular variables
    • Singh H., Hnizdo V., and Demchuk E. Probabilistic model for two dependent circular variables. Biometrika 89 3 (2002) 719-723
    • (2002) Biometrika , vol.89 , Issue.3 , pp. 719-723
    • Singh, H.1    Hnizdo, V.2    Demchuk, E.3
  • 37
    • 0342929614 scopus 로고
    • Nonphysical sampling distributions in Monte Carlo free-energy estimation: umbrella sampling
    • Torrie G.M., and Valleau J.P. Nonphysical sampling distributions in Monte Carlo free-energy estimation: umbrella sampling. Journal of Computational Physics 23 (1977) 187-199
    • (1977) Journal of Computational Physics , vol.23 , pp. 187-199
    • Torrie, G.M.1    Valleau, J.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.