Propriety Conditions for the Bayesian Autologistic Model—Inference for Histone Modifications
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Motivated by inference for a set of histone modifications we consider an improper prior for an autologistic model. We state sufficient conditions for posterior propriety under a constant prior on the coefficients of an autologistic model. We use known results for a multinomial logistic regression to prove posterior propriety under the autologistic model. The conditions are easily verified.
KeywordsAutologistic Bayesian Identifiability Propriety
AMS Classification6209 62A01 62B05
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- Bernstein, B. E., T. S. Mikkelsen, X. Xie, M. Kamal, D. J. Huebert, J. Cuff, B. Fry, A. Meissner, M. Wernig, K. Plath, R. Jaenisch, A. Wagschal, R. Feil, S. L. Schreiber, and E. S. Lander. 2006. A bivalent chromatin structure marks key developmental genes in embryonic stem cells. Cell, 125, 315–326.CrossRefGoogle Scholar
- Heckerman, D., and D. Geiger. 1994. Learning Gaussian networks. Proceedings of Tenth Conference on Uncertainty in Artificial Intelligence, Seattle, WA, 274–284.Google Scholar
- Heckerman, D., and D. Geiger. 1995. Learning Bayesian networks: A unification for discrete and Gaussian domains. Proceedings of Eleventh Conference on Uncertainty in Artificial Intelligence, Montreal Quebec, 293–301.Google Scholar
- Mitra, R., P. Müller, S. Liang, L. Yue, and Y. Ji. 2011. A bayesian graphical model for chip-seq data on histone modifications. J. Am. Stati. Assoc., Appli. Case Stud. To appear.Google Scholar
- Welsh, D. J. A. 1990. The computational complexity of some classical problems from statistical physics. In Disorder in physical systems, 307–321. Oxford, UK, Clarendon Press.Google Scholar