Looking-backward probabilities for Gibbs-type exchangeable random partitions
نویسنده
چکیده
SERGIO BACALLADO, STEFANO FAVARO and LORENZO TRIPPA Department of Statistics, Stanford University, Sequoia Hall, Stanford, CA 94305, USA. E-mail: [email protected] Department of Economics and Statistics, University of Torino, Corso Unione Sovietica 218/bis, 10134 Torino, Italy. E-mail: [email protected] Harvard School of Public Health and Dana-Faber Cancer Institute, 450 Brookline Avenue CLSB 11039 Boston, MA 02215, USA. E-mail: [email protected] Collegio Carlo Alberto, Via Real Collegio 30, 10024 Moncalieri, Italy
منابع مشابه
Conditional formulae for Gibbstype exchangeable random partitions
Gibbs–type random probability measures and the exchangeable random partitions they induce represent an important framework both from a theoretical and applied point of view. In the present paper, motivated by species sampling problems, we investigate some properties concerning the conditional distribution of the number of blocks with a certain frequency generated by Gibbs–type random partitions...
متن کاملBeta-Negative Binomial Process and Exchangeable Random Partitions for Mixed-Membership Modeling
The beta-negative binomial process (BNBP), an integer-valued stochastic process, is employed to partition a count vector into a latent random count matrix. As the marginal probability distribution of the BNBP that governs the exchangeable random partitions of grouped data has not yet been developed, current inference for the BNBP has to truncate the number of atoms of the beta process. This pap...
متن کاملInternational Centre for Economic Research Working Paper Series
We consider discrete nonparametric priors which induce Gibbs–type exchangeable random partitions and investigate their posterior behavior in detail. In particular, we deduce conditional distributions and the corresponding Bayesian nonparametric estimators, which can be readily exploited for predicting various features of additional samples. The results provide useful tools for genomic applicati...
متن کاملar X iv : 0 70 4 . 09 45 v 1 [ m at h . PR ] 6 A pr 2 00 7 Gibbs fragmentation trees ∗
We study fragmentation trees of Gibbs type. In the binary case, we identify the most general Gibbs type fragmentation tree with Aldous’s beta-splitting model, which has an extended parameter range β > −2 with respect to the Beta(β + 1, β + 1) probability distributions on which it is based. In the multifurcating case, we show that Gibbs fragmentation trees are associated with the two-parameter P...
متن کاملGibbs fragmentation trees
We study fragmentation trees of Gibbs type. In the binary case, we identify the most general Gibbs type fragmentation tree with Aldous’s beta-splitting model, which has an extended parameter range β > −2 with respect to the beta(β + 1, β + 1) probability distributions on which it is based. In the multifurcating case, we show that Gibbs fragmentation trees are associated with the two-parameter P...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2015