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This article considers the problem of multiple hypothesis testing using $t$-tests. The observed data are assumed to be independently generated conditional on an underlying and unknown two-state hidden model. We propose an asymptotically…

统计理论 · 数学 2011-02-22 Hongyuan Cao , Michael R. Kosorok

In longitudinal studies, it is not uncommon to make multiple attempts to collect a measurement after baseline. Recording whether these attempts are successful provides useful information for the purposes of assessing missing data…

统计方法学 · 统计学 2023-05-10 Michael J. Daniels , Minji Lee , Wei Feng

The Dirichlet process (DP) is a fundamental mathematical tool for Bayesian nonparametric modeling, and is widely used in tasks such as density estimation, natural language processing, and time series modeling. Although MCMC inference…

机器学习 · 统计学 2013-04-09 Dan Lovell , Jonathan Malmaud , Ryan P. Adams , Vikash K. Mansinghka

Dependent Dirichlet processes (DDP) have been widely applied to model data from distributions over collections of measures which are correlated in some way. On the other hand, in recent years, increasing research efforts in machine learning…

机器学习 · 计算机科学 2021-06-17 Xiaoli Li

Multinomial processing tree (MPT) models are tools for disentangling the contributions of latent cognitive processes in a given experimental paradigm. The present note analyzes MPT models subject to order constraints on subsets of its…

应用统计 · 统计学 2014-11-11 Karl Christoph Klauer , Henrik Singmann , David Kellen

In online multiple testing, an a priori unknown number of hypotheses are tested sequentially, i.e. at each time point a test decision for the current hypothesis has to be made using only the data available so far. Although many powerful…

统计方法学 · 统计学 2025-03-11 Vincent Jankovic , Lasse Fischer , Werner Brannath

In meta analysis, multiple hypothesis testing and many other methods, p-values are utilized as inputs and assumed to be uniformly distributed over the unit interval under the null hypotheses. If data used to generate p-values have discrete…

统计方法学 · 统计学 2026-02-24 Joshua Habiger , Pratyaydipta Rudra

We consider the problem of testing positively dependent multiple hypotheses assuming that a prior information about the dependence structure is available. We propose two-step multiple comparisons procedures that exploit the prior…

In this article, we consider the problem of simultaneous testing of hypotheses when the individual test statistics are not necessarily independent. Specifically, we consider the problem of simultaneous testing of point null hypotheses…

统计理论 · 数学 2018-07-17 Prasenjit Ghosh , Arijit Chakrabarti

We present a nonparametric Bayesian joint model for multivariate continuous and categorical variables, with the intention of developing a flexible engine for multiple imputation of missing values. The model fuses Dirichlet process mixtures…

应用统计 · 统计学 2015-10-14 Jared S. Murray , Jerome P. Reiter

Multiple hypothesis testing is a fundamental problem in high dimensional inference, with wide applications in many scientific fields. In genome-wide association studies, tens of thousands of tests are performed simultaneously to find if any…

统计方法学 · 统计学 2010-12-21 Xu Han , Weijie Gu , Jianqing Fan

In this paper we present a method ofcomputing the posterior probability ofconditional independence of two or morecontinuous variables from data,examined at several resolutions. Ourapproach is motivated by theobservation that the appearance…

人工智能 · 计算机科学 2013-01-14 Dimitris Margaritis , Sebastian Thrun

In this paper we introduce a novel procedure for improving multiple testing procedures (MTPs) under scenarios when the null hypothesis $p$-values tend to be stochastically larger than standard uniform (referred to as 'inflated'). An…

统计方法学 · 统计学 2025-08-29 Jules L. Ellis , Jakub Pecanka , Jelle Goeman

We study asymptotic properties of Bayesian multiple testing procedures and provide sufficient conditions for strong consistency under general dependence structure. We also consider a novel Bayesian multiple testing procedure and associated…

统计理论 · 数学 2020-05-15 Noirrit K. Chandra , Sourabh Bhattacharya

Consider a Dirichlet process mixture model (DPM) with random precision parameter $\alpha$, inducing $K_n$ clusters over $n$ observations through its latent random partition. Our goal is to specify the prior distribution…

统计方法学 · 统计学 2025-06-03 Carlo Vicentini , Ian Hyla Jermyn

Many multiple testing procedures make use of the p-values from the individual pairs of hypothesis tests, and are valid if the p-value statistics are independent and uniformly distributed under the null hypotheses. However, it has recently…

统计方法学 · 统计学 2011-08-25 Joshua D. Habiger , Edsel A. Pena

An important functional of Poisson random measure is the negative binomial process (NBP). We use NBP to introduce a generalized Poisson-Kingman distribution and its corresponding random discrete probability measure. This random discrete…

统计理论 · 数学 2023-07-04 Sadegh Chegini , Mahmoud Zarepour

Multivariate meta-analysis of test accuracy studies when tests are evaluated in terms of sensitivity and specificity at more than one threshold represents an effective way to synthesize results by fully exploiting the data, if compared to…

统计方法学 · 统计学 2019-01-29 Annamaria Guolo , Duc Khanh To

In many scenarios such as genome-wide association studies where dependences between variables commonly exist, it is often of interest to infer the interaction effects in the model. However, testing pairwise interactions among millions of…

统计方法学 · 统计学 2022-09-02 Jingyi Duan , Yang Ning , Xi Chen , Yong Chen

Sensitivity methods for the analysis of the outputs of discrete Bayesian networks have been extensively studied and implemented in different software packages. These methods usually focus on the study of sensitivity functions and on the…

人工智能 · 计算机科学 2016-07-05 Manuele Leonelli , Christiane Görgen , Jim Q. Smith