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Interval-censoring frequently occurs in studies of chronic diseases where disease status is inferred from intermittently collected biomarkers. Although many methods have been developed to analyze such data, they typically assume perfect…

统计方法学 · 统计学 2026-05-26 Yuhao Deng , Donglin Zeng , Yuanjia Wang

In order to describe the extremal behaviour of some stochastic process $X$, approaches from univariate extreme value theory are typically generalized to the spatial domain. In particular, generalized peaks-over-threshold approaches allow…

统计方法学 · 统计学 2026-01-01 Max Thannheimer , Marco Oesting

In this paper we present an extension of population-based Markov chain Monte Carlo (MCMC) to the trans-dimensional case. One of the main challenges in MCMC-based inference is that of simulating from high and trans-dimensional target…

统计计算 · 统计学 2007-11-02 Ajay Jasra , David A. Stephens , Chris C. Holmes

Two non-intrusive uncertainty propagation approaches are proposed for the performance analysis of engineering systems described by expensive-to-evaluate deterministic computer models with parameters defined as interval variables. These…

信号处理 · 电气工程与系统科学 2022-02-15 Alice Cicirello , Filippo Giunta

Network surveys of key populations at risk for HIV are an essential part of the effort to understand how the epidemic spreads and how it can be prevented. Estimation of population values from the sample data has been probematical, however,…

应用统计 · 统计学 2019-09-12 Steve Thompson

Approximate Bayesian computation allows for inference of complicated probabilistic models with intractable likelihoods using model simulations. The Markov chain Monte Carlo implementation of approximate Bayesian computation is often…

统计计算 · 统计学 2019-05-17 Matti Vihola , Jordan Franks

Bayesian nonparametric inferential procedures based on Markov chain Monte Carlo marginal methods typically yield point estimates in the form of posterior expectations. Though very useful and easy to implement in a variety of statistical…

统计理论 · 数学 2016-05-04 Julyan Arbel , Antonio Lijoi , Bernardo Nipoti

In genomics, differential abundance and expression analyses are complicated by the compositional nature of sequence count data, which reflect only relative-not absolute-abundances or expression levels. Many existing methods attempt to…

统计方法学 · 统计学 2025-12-16 Won Gu , Francesca Chiaromonte , Justin D. Silverman

Early in an infectious disease outbreak, timely and accurate estimation of the basic reproduction number ($R_0$) and the serial interval (SI) is critical for understanding transmission dynamics and informing public health responses. While…

统计方法学 · 统计学 2026-01-29 Tatiana Krikella , Jane M. Heffernan , Hanna Jankowski

I present a critical review of techniques for estimating confidence intervals on binomial population proportions inferred from success counts in small-to-intermediate samples. Population proportions arise frequently as quantities of…

天体物理仪器与方法 · 物理学 2015-05-20 Ewan Cameron

This paper considers the problem of making statistical inferences about a parameter when a narrow interval centred at a given value of the parameter is considered special, which is interpreted as meaning that there is a substantial degree…

统计理论 · 数学 2018-09-07 Russell J. Bowater , Ludmila E. Guzmán-Pantoja

Bayesian inference under a set of priors, called robust Bayesian analysis, allows for estimation of parameters within a model and quantification of epistemic uncertainty in quantities of interest by bounded (or imprecise) probability.…

统计计算 · 统计学 2022-07-15 Ivette Raices Cruz , Johan Lindström , Matthias C. M. Troffaes , Ullrika Sahlin

Algorithmic recourse aims to recommend actionable changes to a factual's attributes that flip an unfavorable model decision while remaining realistic and feasible. We formulate recourse as a Constrained Maximum A-Posteriori (MAP) inference…

机器学习 · 计算机科学 2026-01-27 Anagha Sabu , Vidhya S , Narayanan C Krishnan

To conduct Bayesian inference with large data sets, it is often convenient or necessary to distribute the data across multiple machines. We consider a likelihood function expressed as a product of terms, each associated with a subset of the…

统计计算 · 统计学 2020-04-09 Lewis J. Rendell , Adam M. Johansen , Anthony Lee , Nick Whiteley

In order to estimate the population mean in the presence of both non-response and measurement errors that are uncorrelated, the paper presents some novel estimators employing ranked set sampling by utilizing auxiliary information.Up to the…

统计方法学 · 统计学 2023-11-06 Rajesh Singh , Anamika Kumari

Conformal predictors, introduced by Vovk et al. (2005), serve to build prediction intervals by exploiting a notion of conformity of the new data point with previously observed data. In the present paper, we propose a novel method for…

统计理论 · 数学 2009-02-12 Mohamed Hebiri

A key quantity of interest in Bayesian inference are expectations of functions with respect to a posterior distribution. Markov Chain Monte Carlo is a fundamental tool to consistently compute these expectations via averaging samples drawn…

机器学习 · 统计学 2015-02-10 Heiko Strathmann , Dino Sejdinovic , Mark Girolami

We develop and apply two calibration procedures for checking the coverage of approximate Bayesian credible sets including intervals estimated using Monte Carlo methods. The user has an ideal prior and likelihood, but generates a credible…

统计计算 · 统计学 2026-05-19 Jeong Eun Lee , Geoff K. Nicholls , Robin J. Ryder

Noninformative priors constructed for estimation purposes are usually not appropriate for model selection and testing. The methodology of integral priors was developed to get prior distributions for Bayesian model selection when comparing…

统计方法学 · 统计学 2026-03-05 Diego Salmerón , Juan Antonio Cano , Christian P. Robert

Causal inference is crucial for understanding the true impact of interventions, policies, or actions, enabling informed decision-making and providing insights into the underlying mechanisms that shape our world. In this paper, we establish…

统计方法学 · 统计学 2024-03-26 Jingyue Huang , Changbao Wu , Leilei Zeng