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This paper proposes a new estimation technique for fitting parametric Gibbs point process models to a spatial point pattern dataset. The technique is a counterpart, for spatial point processes, of the variational estimators for Markov…

Statistics Theory · Mathematics 2013-07-24 Adrian Baddeley , David Dereudre

This is a contribution for the discussion on "A Gibbs sampler for a class of random convex polytopes" by Pierre E. Jacob, Ruobin Gong, Paul T. Edlefsen and Arthur P. Dempster to appear in the Journal of American Statistical Association.

Computation · Statistics 2021-04-16 Persi Diaconis , Guanyang Wang

This article is a discussion of Zanella and Roberts' paper: Multilevel linear models, gibbs samplers and multigrid decompositions. We consider several extensions in which the multigrid decomposition would bring us interesting insights,…

Computation · Statistics 2021-12-17 Xiaodong Yang , Jun S. Liu

We construct examples of variational bivectors that are not Poissonian.

Differential Geometry · Mathematics 2025-05-08 I. S. Krasil'shchik

We obtain some approximation results for the weights appearing in the exchangeable partition probability function identifying Gibbs partition models of parameter $\alpha \in (0,1)$, as introduced in Gnedin and Pitman (2006). We rely on…

Probability · Mathematics 2012-06-29 Annalisa Cerquetti

Gibbs random fields play an important role in statistics. However they are complicated to work with due to an intractability of the likelihood function and there has been much work devoted to finding computational algorithms to allow…

Methodology · Statistics 2014-04-01 Nial Friel

Discussion of "Statistical Modeling of Spatial Extremes" by A. C. Davison, S. A. Padoan and M. Ribatet [arXiv:1208.3378].

Methodology · Statistics 2012-08-20 Johan Segers

We present a non-parametric Bayesian approach to structure learning with hidden causes. Previous Bayesian treatments of this problem define a prior over the number of hidden causes and use algorithms such as reversible jump Markov chain…

Machine Learning · Computer Science 2012-07-02 Frank Wood , Thomas Griffiths , Zoubin Ghahramani

Approximate Bayesian computation methods are useful for generative models with intractable likelihoods. These methods are however sensitive to the dimension of the parameter space, requiring exponentially increasing resources as this…

Computation · Statistics 2026-02-09 Grégoire Clarté , Christian P. Robert , Robin Ryder , Julien Stoehr

We show that a Gibbs characterization of normalized generalized Gamma processes, recently obtained in Lijoi, Pr\"unster and Walker (2007), can alternatively be derived by exploiting a characterization of exponentially tilted Poisson-Kingman…

Probability · Mathematics 2010-01-02 Annalisa Cerquetti

Discussion of "Likelihood Inference for Models with Unobservables: Another View" by Youngjo Lee and John A. Nelder [arXiv:1010.0303]

Methodology · Statistics 2010-10-06 Xiao-Li Meng

Comment on ``On Random Scan Gibbs Samplers'' [arXiv:0808.3852]

Methodology · Statistics 2008-08-29 Richard A. Levine , George Casella

A Bayesian nonparametric method of James, Lijoi \& Prunster (2009) used to predict future values of observations from normalized random measures with independent increments is modified to a class of models based on negative binomial…

Methodology · Statistics 2024-02-20 Robert C. Griffiths , Ross A. Maller , Soudabeh Shemehsavar

Gibbs partition models are the largest class of infinite exchangeable partitions of the positive integers generalizing the product form of the probability function of the two-parameter Poisson-Dirichlet family. Recently those models have…

Probability · Mathematics 2013-12-23 Annalisa Cerquetti

Some derivation-based differential calculi which have been used to construct models of noncommutative gauge theories are presented and commented. Some comparisons between them are made.

Mathematical Physics · Physics 2010-01-18 T. Masson

Comments on NC Abelian Higgs model withdrawn. An improved treatment of NC U(2) adjoint models to appear elsewhere.

High Energy Physics - Theory · Physics 2007-05-23 Bruce A. Campbell , Kirk Kaminsky

Existence and uniqueness results for the solution of the Gibbs-type formula from non-extensive mechanics are derived rigorously. A new conditional extremal problem is proposed to get in a more simple way the Gibbs-type formula itself.

Mathematical Physics · Physics 2011-10-31 Lev Sakhnovich

This volume is a collection of six papers on the use of auxiliary information and 'a priori' values in construction of improved estimators. The work included here will be of immense application for researchers and students who emply…

Methodology · Statistics 2010-02-19 Rajesh Singh , Pankaj Chauhan , Nirmala Sawan , Florentin Smarandache

Gaussian graphical models provide a powerful framework to reveal the conditional dependency structure between multivariate variables. The process of uncovering the conditional dependency network is known as structure learning. Bayesian…

Methodology · Statistics 2024-07-30 Lucas Vogels , Reza Mohammadi , Marit Schoonhoven , S. Ilker Birbil

We study random composite structures considered up to symmetry that are sampled according to weights on the inner and outer structures. This model may be viewed as an unlabelled version of Gibbs partitions and encompasses multisets of…

Combinatorics · Mathematics 2020-04-01 Benedikt Stufler