Abstract
In this final chapter we briefly discuss some more specialized applications of nonparametric Bayesian inference, including the analysis of spatio-temporal data, model validation and causal inference. These themes are introduced to show by example the nature of the many application areas of nonparametric Bayesian inference that we did not include in earlier chapter.
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Banerjee S, Carlin BP, Gelfand AE (2004) Hierarchical modeling and analysis for spatial data. Chapman & Hall/CRC, Boca Raton, FL
Basu S, Chib S (2003) Marginal likelihood and Bayes factors for Dirichlet process mixture models. J Am Stat Assoc 98:224–235
Berger J, Guglielmi A (2001) Bayesian testing of a parametric model versus nonparametric alternatives. J Am Stat Assoc 96:174–184
Carota C, Parmigiani G, Polson NG (1996) Diagnostic measures for model criticism. J Am Stat Assoc 91:753–762
Duan JA, Guindani M, Gelfand AE (2007) Generalized spatial Dirichlet process models. Biometrika 94:809–825
Dunson D (2010) Nonparametric Bayes applications to biostatistics. Cambridge University Press, Cambridge, pp 223–273
Geisser S, Eddy W (1979) A predictive approach to model selection. J Am Stat Assoc 74:153–160
Gelfand AE, Kottas A, MacEachern SN (2005) Bayesian nonparametric spatial modeling with Dirichlet process mixing. J Am Stat Assoc 100:1021–1035
Ghosh JK, Ramamoorthi RV (2003) Bayesian nonparametrics. Springer, New York
Ghoshal S, van der Vaart A (2015) Fundamentals of nonparametric Bayesian inference. Cambridge University Press, Cambridge
Guindani M, Müller P, Zhang S (2009) A Bayesian discovery procedure. J R Stat Soc. Ser B (Stat Methodol) 71(5):905–925
Hegarty A, Barry D (2008) Bayesian disease mapping using product partition models. Stat Med 27(19):3868–3893
Hill JL (2011) Bayesian nonparametric modeling for causal inference. J Comput Graph Stat 20(1):217–240
Karabatsos G, Walker SG (2012) A Bayesian nonparametric causal model. J Stat Plann Inference 142(4):925–934
Phadia EG (2013) Prior processes and their applications. Springer, Berlin
Reich BJ, Fuentes M (2007) A multivariate semiparametric Bayesian spatial modeling framework for hurricane surface wind fields. Ann Appl Stat 1(1):249–264
Storey JD (2007) The optimal discovery procedure: a new approach to simultaneous significance testing. J R Stat Soc Ser B (Stat Methodol) 69(3):347–368
Xu Y, Müller P, Wahed AS, Thall PF (2013) Bayesian nonparametric estimation for dynamic treatment regimes with sequential transition times. ArXiv e-prints 1405.2656
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Müller, P., Quintana, F.A., Jara, A., Hanson, T. (2015). Other Inference Problems and Conclusion. In: Bayesian Nonparametric Data Analysis. Springer Series in Statistics. Springer, Cham. https://doi.org/10.1007/978-3-319-18968-0_9
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DOI: https://doi.org/10.1007/978-3-319-18968-0_9
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