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We develop scalable methods for producing conformal Bayesian predictive intervals with finite sample calibration guarantees. Bayesian posterior predictive distributions, $p(y \mid x)$, characterize subjective beliefs on outcomes of…

统计方法学 · 统计学 2021-06-15 Edwin Fong , Chris Holmes

This article focuses on covariance estimation for multi-study data. Popular approaches employ factor-analytic terms with shared and study-specific loadings that decompose the variance into (i) a shared low-rank component, (ii)…

统计方法学 · 统计学 2026-01-26 Lorenzo Mauri , Niccolò Anceschi , David B. Dunson

We develop a method to perform model averaging in two-stage linear regression systems subject to endogeneity. Our method extends an existing Gibbs sampler for instrumental variables to incorporate a component of model uncertainty. Direct…

统计方法学 · 统计学 2012-03-20 Anna Karl , Alex Lenkoski

Bayesian model selection poses two main challenges: the specification of parameter priors for all models, and the computation of the resulting Bayes factors between models. There is now a large literature on automatic and objective…

统计方法学 · 统计学 2016-08-11 Leonhard Held , Daniel Sabanés Bové , Isaac Gravestock

Instrumental variables have been widely used to estimate the causal effect of a treatment on an outcome. Existing confidence intervals for causal effects based on instrumental variables assume that all of the putative instrumental variables…

统计方法学 · 统计学 2020-06-03 Hyunseung Kang , Youjin Lee , T. Tony Cai , Dylan S. Small

Causal inference, especially in observational studies, relies on untestable assumptions about the true data-generating process. Sensitivity analysis helps us determine how robust our conclusions are when we alter these underlying…

机器学习 · 计算机科学 2026-05-11 Nikita Dhawan , Daniel Shen , Leonardo Cotta , Chris J. Maddison

Our paper deals with inferring simulator-based statistical models given some observed data. A simulator-based model is a parametrized mechanism which specifies how data are generated. It is thus also referred to as generative model. We…

机器学习 · 统计学 2016-01-01 Michael U. Gutmann , Jukka Corander

This paper proposes a computationally efficient Bayesian factor model for multiple grouped count data. Adopting the link function approach, the proposed model can capture the association within and between the at-risk probabilities and…

统计方法学 · 统计学 2024-05-13 Genya Kobayashi , Yuta Yamauchi

Latent factor models are the canonical statistical tool for exploratory analyses of low-dimensional linear structure for an observation matrix with p features across n samples. We develop a structured Bayesian group factor analysis model…

统计方法学 · 统计学 2015-11-12 Shiwen Zhao , Chuan Gao , Sayan Mukherjee , Barbara E Engelhardt

The quality of requirements specifications may impact subsequent, dependent software engineering (SE) activities. However, empirical evidence of this impact remains scarce and too often superficial as studies abstract from the phenomena…

软件工程 · 计算机科学 2024-02-19 Julian Frattini , Davide Fucci , Richard Torkar , Daniel Mendez

The modal factor model represents a new factor model for dimension reduction in high dimensional panel data. Unlike the approximate factor model that targets for the mean factors, it captures factors that influence the conditional mode of…

计量经济学 · 经济学 2024-10-01 Zhe Sun , Yundong Tu

We analyse the matrix factorization problem. Given a noisy measurement of a product of two matrices, the problem is to estimate back the original matrices. It arises in many applications such as dictionary learning, blind matrix…

数值分析 · 计算机科学 2016-07-19 Yoshiyuki Kabashima , Florent Krzakala , Marc Mézard , Ayaka Sakata , Lenka Zdeborová

The fundamental challenge of drawing causal inference is that counterfactual outcomes are not fully observed for any unit. Furthermore, in observational studies, treatment assignment is likely to be confounded. Many statistical methods have…

统计方法学 · 统计学 2022-08-01 Harsh Parikh , Carlos Varjao , Louise Xu , Eric Tchetgen Tchetgen

In practice functional data are sampled on a discrete set of observation points and often susceptible to noise. We consider in this paper the setting where such data are used as explanatory variables in a regression problem. If the primary…

统计方法学 · 统计学 2021-12-14 Siegfried Hörmann , Fatima Jammoul

In the field of road safety, it is common to use responsibility analyses to assess the effect of a given factor on the risk of being responsible for an accident, among drivers involved in an accident only. Even if this design is now widely…

统计方法学 · 统计学 2018-10-16 Marine Dufournet , Emilie Lanoy , Jean-Louis Martin , Vivian Viallon

Understanding covariate-varying interdependencies among features is of great interest in various applications. Motivated by microbiome studies where microbial abundances and interactions vary with environmental factors, we develop a…

统计方法学 · 统计学 2026-03-16 Shuangjie Zhang , Michael L. Patnode , Juhee Lee

In this paper, we propose a simple and easy-to-implement Bayesian hypothesis test for the presence of an association, described by Kendall's \tau coefficient, between two variables measured on at least an ordinal scale. Owing to the absence…

统计方法学 · 统计学 2022-09-09 Shen Zhang , Keying Ye , Min Wang

Replication studies are increasingly conducted but there is no established statistical criterion for replication success. We propose a novel approach combining reverse-Bayes analysis with Bayesian hypothesis testing: a sceptical prior is…

统计方法学 · 统计学 2022-12-15 Samuel Pawel , Leonhard Held

Simulation methods are among the most ubiquitous methodological tools in statistical science. In particular, statisticians often is simulation to explore properties of statistical functionals in models for which developed statistical theory…

统计方法学 · 统计学 2023-08-22 Tyrel Stokes , Ian Shrier , Russell Steele

Random effects are the gold standard for capturing structural heterogeneity in data, such as spatial dependencies, individual differences, or temporal dependencies. However, testing for their presence is challenging, as it involves a…

统计方法学 · 统计学 2025-08-05 Fabio Vieira , Hongwei Zhao , Joris Mulder