Regression Analysis for Multivariate Dependent Count Data Using Convolved Gaussian Processes

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Sofro, A'yunin; Shi, Jian Qing; Cao, Chunzheng;
(2017)
  • Subject: Statistics - Methodology

Research on Poisson regression analysis for dependent data has been developed rapidly in the last decade. One of difficult problems in a multivariate case is how to construct a cross-correlation structure and at the meantime make sure that the covariance matrix is posit... View more
  • References (24)
    24 references, page 1 of 3

    Andriluka, M., Weizsacker, L and Hofmann, T. (2007). Multi-class classi cation with dependent Gaussian process. In proceddings of International Conference on Applied Stochastic Models and Data Analysis (ASMDA).

    Banerjee, S., Carlin, B., and Gelfand, A. (2004). Hierarchical Modeling and Analysis for Spatial Data. Boca Raton: Chapman and Hall/CRC Press.

    Besag, J and Kooperberg, C. (1995). On conditional and intrinsic autoregressions. Biometrika, 82(4), 733-746.

    Boyle, P. and Frean, M. (2005). Dependent Gaussian Process. In Saul, L. K., Weiss, Y., and Bottou, L., editors, Advances in Neural Information Processing Systems, 17, 217-224, Cambridge: MIT Press.

    Choi, T. (2005), Posterior Consistency in Nonparametric Regression Problems under Gaussian Process Priors, PhD thesis, Carnegie Mellon University, Pittsburgh, PA.

    Crainiceanu, C. M., Diggle, P. J and Rowlingson, B. (2008). Bivariate binomial spatial modeling of Loa loa prevalence in Tropical Africa. Journal of the American Statistical Association, 103(481), 21-37.

    Diggle, P. J., Tawn, J. A. and Moyeed, R. A. (1998). Model-based geostatistics. Journal of Royal Statistics Society, Series C, 47(3), 299-350.

    Gelfand, A. E and Vounatsou, P. (2003). Proper multivariate conditional autoregressive models for spatial data analysis. BioStatistics, 4(1), 11-25.

    Gramacy, R. and Lian, H. (2012). Gaussian process single-index models as emulators for computer experiments. Technometrics, 54(1): 30-41.

    Jin, X., Carlin, B. and Banerjee, S. (2005). Generalized hierarchical multivariate CAR model for areal data. Biometrics, 61(4), 950-961.

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