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The na?ve Bayes approach is one of the most popular methods used for classi?cation. Nevertheless, how to test its statistical signi?cance under an ultra-high-dimensional (UHD) setup is not well unders...
The na?ve Bayes approach is one of the most popular methods used for classi?cation. Nevertheless, how to test its statistical signi?cance under an ultra-high-dimensional(UHD) setup is not well underst...
We study the asymptotic behaviour of a Bayesian nonparametric test of qualitative hypotheses. More precisely, we focus on the problem of testing monotonicity of a regression function. Even if some res...
The concept of refinement from probability elicitation is considered for proper scoring rules. Taking directions from the axioms of probability, refinement is further clarified using a Hilbert space i...
We show how to compute lower bounds for the maximum possible Bayes error if the class-conditional distributions must satisfy moment constraints. Our approach makes use of Curto and Fialkow’s solution...
We consider a binary unsupervised classi cation problem where each observation is associated with an unobserved label that we want to retrieve. More precisely, we assume that there are two groups of...
作为一种近似处理的工具,粗集主要用于不确定情况下的决策分析,并且不需要任何事先的数据假定。但当前的主流粗集分类方法仍然需要先经过离散化的步骤,这就损失了数值型变量提供的高质量信息。本文对隶属函数重新加以概率定义,并提出了一种基于Bayes概率边界域的粗集分类技术,比较好地解决了当前粗集方法所面临的数值型属性分类的不适应、分类规则不完备等一系列问题。
We investigate the asymptotic optimality of a large class of multiple testing rules using the framework of Bayesian Decision Theory. We consider a parametric setup, in which observations come from a...
I actually own a copy of Harold Jeffreys’s The- ory of Probability but have only read small bits of it, most recently over a decade ago to confirm that, indeed, Jeffreys was not too proud to use a ...
We consider Bayes inference for a class of distributions on orientations in 3 dimensions described by 3 × 3 rotation matrices. Non-informative priors are identified and Metropolis-H...
It is argued that the posterior predictive distribution for the binomial and multinomial distributions,when viewed via a hypergeometric-like representa- tion, suggests the uniform prior on the param...
Bounded stopping time of some Bayes sequential tests for the t-test model。
For many classication and regression problems, a large number of features are available for possible use this is typical of DNA microarray data on gene expression, for example. Often, for computatio...
Ronald Fisher believed that Th theory of inverse probability is founded upon an error, and must be wholly rejected. This note describes how Fisher divided responsibility for the error between Bayes ...
In this comment, I argue that Bayes procedures with good frequentist properties are objective. I introduce the idea with a short play, followed by some commentary.

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