Finite mixtures of multivariate Poisson distributions with application
Tài liệu tham khảo
Aitchinson, 1989, The multivariate Poisson-log normal distribution, Biometrika, 75, 621
Aitkin, 1999, A general maximum likelihood analysis of variance components in generalized linear models, Biometrics, 55, 218, 10.1111/j.0006-341X.1999.00117.x
Al-Hussaini, 1981, On the identifiability of finite mixtures of distributions, IEEE Trans. Inf. Theory, 27, 664, 10.1109/TIT.1981.1056389
Banfield, 1993, Model based Gaussian and non-Gaussian clustering, Biometrics, 49, 803, 10.2307/2532201
Biernacki, 1999, An improvement of the NEC criterion for assessing the number of clusters in a mixture model, Pattern Recognition Lett., 20, 267, 10.1016/S0167-8655(98)00144-5
Bohning, 2000
Celeux, 1996, An entropy criterion for assessing the number of clusters in a mixture model, J. Classification, 13, 195, 10.1007/BF01246098
Chanda, 1954, A note on the consistency and maxima of the roots of likelihood equations, Biometrika, 41, 56, 10.1093/biomet/41.1-2.56
Chib, 2001, Markov chain Monte Carlo analysis of correlated count data, J. Bus. Econ. Stat., 19, 428, 10.1198/07350010152596673
Diebolt, 1994, Estimation of finite mixture distributions through Bayesian sampling, J. R. Stat. Soc. B, 56, 363
Johnson, 1997
Kano, 1991, On recurrence relations for the probability function of multivariate generalized Poisson distribution, Commun. Stat. Theory Methods, 20, 165, 10.1080/03610929108830490
Karlis, 2003, An EM algorithm for multivariate Poisson distribution and related models, J. Appl. Stat., 30, 63, 10.1080/0266476022000018510
Karlis, 2005, Multivariate Poisson regression with covariance structure, Stat. Comput., 15, 255, 10.1007/s11222-005-4069-4
Karlis, 2005, Mixed Poisson distributions, Int. Stat. Rev., 73, 35, 10.1111/j.1751-5823.2005.tb00250.x
Lindsay, 1989, Moment matrices: application in mixtures, Ann. Stat., 17, 722, 10.1214/aos/1176347138
Lindsay, B.G., 1995. Mixture models: theory, geometry and applications. In: Regional Conference Series in Probability and Statistics, vol. 5. Institute of Mathematical Statistics and American Statistical Association.
McLachlan, 1988
McLachlan, 2000
Redner, 1984, Mixture densities, maximum likelihood and the EM algorithm, SIAM Rev., 26, 195, 10.1137/1026034
Richardson, 1997, On Bayesian analysis of mixtures with an unknown number of components (with discussion), J. R. Stat. Soc. B, 59, 731, 10.1111/1467-9868.00095
Sutradhar, 2003, On familial longitudinal Poisson mixed models with gamma random effects, J. Multivar. Anal., 87, 398, 10.1016/S0047-259X(03)00062-9
Teicher, 1961, Identifiability of mixtures, Ann. Math. Stat., 26, 244, 10.1214/aoms/1177705155
Tsiamyrtzis, 2004, Strategies for efficient computation of multivariate probabilities, Commun. Stat. Simulation Comput., 33, 271, 10.1081/SAC-120037235
Tsionas, 1999, Bayesian analysis of the multivariate Poisson distribution, Commun. Stat. Theory Methods, 28, 431, 10.1080/03610929908832305
Tsionas, 2001, Bayesian multivariate Poisson regression, Commun. Stat. Theory Methods, 30, 243, 10.1081/STA-100002028
Wedel, 2003, Factor models for multivariate count data, J. Multivar. Anal., 87, 356, 10.1016/S0047-259X(03)00020-4