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Nonparametric Bayesian models are often based on the assumption that the objects being modeled are exchangeable. While appropriate in some applications (e.g., bag-of-words models for documents), exchangeability is sometimes assumed simply…

机器学习 · 计算机科学 2012-06-18 Kurt T. Miller , Thomas Griffiths , Michael I. Jordan

Rejoinder of "Treelets--An adaptive multi-scale basis for spare unordered data" [arXiv:0707.0481]

应用统计 · 统计学 2008-07-28 Ann B. Lee , Boaz Nadler , Larry Wasserman

Comment to "Nonextensive Thermodynamics and Glassy Behaviour in Hamiltonian Systems" by A. Rapisarda and A. Pluchino, Europhysics News 36, 202 (2005).

统计力学 · 物理学 2007-05-23 Freddy Bouchet , Thierry Dauxois , Stefano Ruffo

Comment on ``Lancaster Probabilities and Gibbs Sampling'' [arXiv:0808.3852]

统计方法学 · 统计学 2008-08-29 Gérard Letac

Variational Bayes (VB) is rapidly becoming a popular tool for Bayesian inference in statistical modeling. However, the existing VB algorithms are restricted to cases where the likelihood is tractable, which precludes the use of VB in many…

统计方法学 · 统计学 2016-08-05 Minh-Ngoc Tran , David J. Nott , Robert Kohn

This paper establishes a necessary and sufficient condition for the asymptotic normality of the nonparametric estimator of sample coverage proposed by Good [Biometrica 40 (1953) 237--264]. This new necessary and sufficient condition extends…

统计理论 · 数学 2009-08-25 Cun-Hui Zhang , Zhiyi Zhang

Discussion of "Bayesian Models and Methods in Public Policy and Government Settings" by S. E. Fienberg [arXiv:1108.2177]

统计方法学 · 统计学 2011-08-22 Alan M. Zaslavsky

Recent decades have seen an interest in prediction problems for which Bayesian methodology has been used ubiquitously. Sampling from or approximating the posterior predictive distribution in a Bayesian model allows one to make inferential…

机器学习 · 统计学 2017-09-12 Giri Gopalan

Conformal prediction has emerged as a cutting-edge methodology in statistics and machine learning, providing prediction intervals with finite-sample frequentist coverage guarantees. Yet, its interplay with Bayesian statistics, often…

统计方法学 · 统计学 2026-03-27 Nina Deliu , Brunero Liseo

We reply to the criticisms of our publication (N. Hasegawa, K. Hagino, and Y. Tanimura, Phys. Lett. B808, 135693 (2020)) made by A. Ono in his recent article, arXiv:2201.02966.

核理论 · 物理学 2022-02-02 N. Hasegawa , K. Hagino , Y. Tanimura

We continue the investigation of Bernstein-von Mises theorems for nonparametric Bayes procedures from [Ann. Statist. 41 (2013) 1999-2028]. We introduce multiscale spaces on which nonparametric priors and posteriors are naturally defined,…

统计理论 · 数学 2014-10-03 Ismaël Castillo , Richard Nickl

Conformal prediction offers a distribution-free framework for constructing prediction sets with coverage guarantees. In practice, multiple valid conformal prediction sets may be available, arising from different models or methodologies.…

机器学习 · 统计学 2025-06-26 Mahmoud Hegazy , Liviu Aolaritei , Michael I. Jordan , Aymeric Dieuleveut

The non-convexity and intractability of distributionally robust chance constraints make them challenging to cope with. From a data-driven perspective, we propose formulating it as a robust optimization problem to ensure that the…

最优化与控制 · 数学 2023-06-23 Zhiping Chen , Wentao Ma , Bingbing Ji

We present a discussion of the paper "Bayesian cluster analysis: point estimation and credible balls" by Wade and Ghahramani. We believe that this paper contributes substantially to the literature on Bayesian clustering by filling in an…

统计方法学 · 统计学 2018-04-10 Nial Friel , Riccardo Rastelli

In recent years, the literature in the area of Bayesian asymptotics has been rapidly growing. It is increasingly important to understand the concept of posterior consistency and validate specific Bayesian methods, in terms of consistency of…

统计理论 · 数学 2008-12-18 Taeryon Choi , R. V. Ramamoorthi

The prediction interval has been increasingly used in meta-analyses as a useful measure for assessing the magnitude of treatment effect and between-studies heterogeneity. In calculations of the prediction interval, although the…

统计方法学 · 统计学 2021-07-14 Yuta Hamaguchi , Hisashi Noma , Kengo Nagashima , Tomohide Yamada , Toshi A. Furukawa

Multivariate nonnegative orthant data are real vectors bounded to the left by the null vector, and they can be continuous, discrete or mixed. We first review the recent relative variability indexes for multivariate nonnegative continuous…

统计方法学 · 统计学 2021-09-08 Célestin C. Kokonendji , Sobom M. Somé

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

统计方法学 · 统计学 2012-08-20 Darmesah Gabda , Ross Towe , Jennifer Wadsworth , Jonathan Tawn

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

统计方法学 · 统计学 2012-08-20 Benjamin Shaby , Brian J. Reich

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

统计方法学 · 统计学 2012-08-20 D. Cooley , S. R. Sain