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We propose a fully Bayesian approach for causal inference with multivariate categorical data based on staged tree models, a class of probabilistic graphical models capable of representing asymmetric and context-specific dependencies. To…

统计方法学 · 统计学 2025-11-06 Andrea Cremaschi , Manuele Leonelli , Gherardo Varando

A pervasive phenomenon in machine learning applications is distribution shift, where training and deployment conditions for a machine learning model differ. As distribution shift typically results in a degradation in performance, much…

机器学习 · 统计学 2024-01-23 Philip Amortila , Tongyi Cao , Akshay Krishnamurthy

Multilevel linear models allow flexible statistical modelling of complex data with different levels of stratification. Identifying the most appropriate model from the large set of possible candidates is a challenging problem. In the…

统计方法学 · 统计学 2022-11-15 Tom Edinburgh , Ari Ercole , Stephen J. Eglen

We propose a novel Bayesian model framework for discrete ordinal and count data based on conditional transformations of the responses. The conditional transformation function is estimated from the data in conjunction with an a priori chosen…

统计方法学 · 统计学 2022-05-19 Manuel Carlan , Thomas Kneib

Generalized linear models are a popular tool in applied statistics, with their maximum likelihood estimators enjoying asymptotic Gaussianity and efficiency. As all models are wrong, it is desirable to understand these estimators' behaviours…

统计方法学 · 统计学 2024-12-10 Elliot H. Young , Rajen D. Shah

In real data analysis, the underlying model is usually unknown, modelling strategy plays a key role in the success of data analysis. Stimulated by the idea of model averaging, we propose a novel semiparametric modelling strategy for…

统计方法学 · 统计学 2022-03-21 Chaohui Guo , Wenyang Zhang

In an effort to quantify and combat sexual assault, US colleges and universities are required to disclose the number of reported sexual assaults on their campuses each year. However, many instances of sexual assault are never reported to…

应用统计 · 统计学 2024-12-03 Casey Bradshaw , David M. Blei

Discrete data are abundant and often arise as counts or rounded data. These data commonly exhibit complex distributional features such as zero-inflation, over-/under-dispersion, boundedness, and heaping, which render many parametric models…

统计方法学 · 统计学 2023-02-27 Daniel R. Kowal , Bohan Wu

Quantile regression is a fundamental problem in statistical learning motivated by a need to quantify uncertainty in predictions, or to model a diverse population without being overly reductive. For instance, epidemiological forecasts, cost…

机器学习 · 统计学 2023-04-18 Rasool Fakoor , Taesup Kim , Jonas Mueller , Alexander J. Smola , Ryan J. Tibshirani

Flexible estimation of multiple conditional quantiles is of interest in numerous applications, such as studying the effect of pregnancy-related factors on low and high birth weight. We propose a Bayesian non-parametric method to…

统计方法学 · 统计学 2021-10-22 Steven G. Xu , Brian J. Reich

In multiple domains such as malware detection, automated driving systems, or fraud detection, classification algorithms are susceptible to being attacked by malicious agents willing to perturb the value of instance covariates to pursue…

机器学习 · 统计学 2025-07-10 Victor Gallego , Roi Naveiro , Alberto Redondo , David Rios Insua , Fabrizio Ruggeri

The paper introduces a Bayesian estimation method for quantile regression in univariate ordinal models. Two algorithms are presented that utilize the latent variable inferential framework of Albert and Chib (1993) and the normal-exponential…

统计方法学 · 统计学 2022-09-30 Mohammad Arshad Rahman

Small area models are mixed effects regression models that link the small areas and borrow strength from similar domains. When the auxiliary variables used in the models are measured with error, small area estimators that ignore the…

统计方法学 · 统计学 2018-10-23 Serena Arima , Silvia Polettini

We report on an empirical study of the main strategies for quantile regression in the context of stochastic computer experiments. To ensure adequate diversity, six metamodels are presented, divided into three categories based on order…

机器学习 · 统计学 2020-01-22 Léonard Torossian , Victor Picheny , Robert Faivre , Aurélien Garivier

Crossing of fitted conditional quantiles is a prevalent problem for quantile regression models. We propose a new Bayesian modelling framework that penalises multiple quantile regression functions toward the desired non-crossing space. We…

统计方法学 · 统计学 2025-08-21 David Kohns , Tibor Szendrei

This article introduces a Bayesian neural network estimation method for quantile regression assuming an asymmetric Laplace distribution (ALD) for the response variable. It is shown that the posterior distribution for feedforward neural…

统计理论 · 数学 2022-04-06 Sanket R. Jantre , Shrijita Bhattacharya , Tapabrata Maiti

Measurement error in count data is common but underexplored in the literature, particularly in contexts where observed scores are bounded and arise from discrete scoring processes. Motivated by applications in oral reading fluency…

统计方法学 · 统计学 2025-06-26 Yuqiu Yang , Christina Vu , Cornelis J. Potgieter , Xinlei Wang , Akihito Kamata

Misclassified binary outcome or mediator variables can cause unpredictable bias in resulting parameter estimates. As more datasets that were not originally collected for research purposes are being used for studies in the social and health…

统计计算 · 统计学 2025-01-15 Kimberly A. Hochstedler Webb , Martin T. Wells

Quantifying uncertainty in deep regression models is important both for understanding the confidence of the model and for safe decision-making in high-risk domains. Existing approaches that yield prediction intervals overlook distributional…

机器学习 · 计算机科学 2025-12-02 Adriel Sosa Marco , John Daniel Kirwan , Alexia Toumpa , Simos Gerasimou

We introduce a new regression method that relates the mean of an outcome variable to covariates, under the "adverse condition" that a distress variable falls in its tail. This allows to tailor classical mean regressions to adverse…

计量经济学 · 经济学 2025-02-04 Timo Dimitriadis , Yannick Hoga