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Reliable probability estimation is of crucial importance in many real-world applications where there is inherent (aleatoric) uncertainty. Probability-estimation models are trained on observed outcomes (e.g. whether it has rained or not, or…

We propose leave-out estimators of quadratic forms designed for the study of linear models with unrestricted heteroscedasticity. Applications include analysis of variance and tests of linear restrictions in models with many regressors. An…

计量经济学 · 经济学 2019-08-28 Patrick Kline , Raffaele Saggio , Mikkel Sølvsten

Model selection criteria are rules used to select the best statistical model among a set of candidate models, striking a trade-off between goodness of fit and model complexity. Most popular model selection criteria measure the goodness of…

统计理论 · 数学 2023-04-13 Angel Felipe , Maria Jaenada , Pedro Miranda , Leandro Pardo

When a model's performance differs across socially or culturally relevant groups--like race, gender, or the intersections of many such groups--it is often called "biased." While much of the work in algorithmic fairness over the last several…

统计方法学 · 统计学 2022-07-01 Kristian Lum , Yunfeng Zhang , Amanda Bower

Model selection is a central task in statistics, but standard methods are not robust in misspecified settings where the true data-generating process (DGP) is not in the set of candidate models. The key limitation is that existing methods --…

统计方法学 · 统计学 2026-03-10 Jongwoo Choi , Neil A. Spencer , Jeffrey W. Miller

In this paper, we develop efficient randomized algorithms for estimating probabilistic robustness margin and constructing robustness degradation curve for uncertain dynamic systems. One remarkable feature of these algorithms is their…

最优化与控制 · 数学 2008-05-13 Xinjia Chen , Kemin Zhou , Jorge L. Aravena

The distributed Hill estimator is a divide-and-conquer algorithm for estimating the extreme value index when data are stored in multiple machines. In applications, estimates based on the distributed Hill estimator can be sensitive to the…

统计方法学 · 统计学 2021-12-21 Liujun Chen , Deyuan Li , Chen Zhou

Linear mixed effects models are highly flexible in handling a broad range of data types and are therefore widely used in applications. A key part in the analysis of data is model selection, which often aims to choose a parsimonious model…

统计方法学 · 统计学 2013-06-12 Samuel Müller , J. L. Scealy , A. H. Welsh

Machine learning models are often used to inform real world risk assessment tasks: predicting consumer default risk, predicting whether a person suffers from a serious illness, or predicting a person's risk to appear in court. Given…

机器学习 · 计算机科学 2023-06-27 Jamelle Watson-Daniels , David C. Parkes , Berk Ustun

We address the issue of model selection in beta regressions with varying dispersion. The model consists of two submodels, namely: for the mean and for the dispersion. Our focus is on the selection of the covariates for each submodel. Our…

统计计算 · 统计学 2017-02-08 Fábio M. Bayer , Francisco Cribari-Neto

When outcomes are missing for reasons beyond an investigator's control, there are two different ways to adjust a parameter estimate for covariates that may be related both to the outcome and to missingness. One approach is to model the…

统计方法学 · 统计学 2008-12-18 Joseph D. Y. Kang , Joseph L. Schafer

The problem of model selection is inevitable in an increasingly large number of applications involving partial theoretical knowledge and vast amounts of information, like in medicine, biology or economics. The associated techniques are…

统计方法学 · 统计学 2015-11-17 Stephane Guerrier , Maria-Pia Victoria-Feser

Estimation in GARMA models has traditionally been carried out under the frequentist approach. To date, Bayesian approaches for such estimation have been relatively limited. In the context of GARMA models for count time series, Bayesian…

统计方法学 · 统计学 2025-04-29 Katerine Zuniga Lastra , Guilherme Pumi , Taiane Schaedler Prass

With the current ongoing debate about fairness, explainability and transparency of machine learning models, their application in high-impact clinical decision-making systems must be scrutinized. We consider a real-life example of risk…

From a practical perspective, proposals are one of the main bottleneck for any Markov Chain Monte Carlo (MCMC) algorithm. This paper suggests a novel data driven or informed proposal for reversible jump MCMC for Bayesian variable selection…

应用统计 · 统计学 2025-01-14 Djidenou Montcho , Daiane Zuanetti , Thierry Chekouo , Luis Milan

This study explores various data-driven methods for performing background-model selection, and for assigning uncertainty on the signal-strength estimator that arises due to the choice of background model. The performance of these methods is…

高能物理 - 实验 · 物理学 2018-06-19 Mike Williams

The Tweedie Compound Poisson-Gamma model is routinely used for modeling non-negative continuous data with a discrete probability mass at zero. Mixed models with random effects account for the covariance structure related to the grouping…

机器学习 · 统计学 2019-02-05 Yaodong Yang , Rui Luo , Yuanyuan Liu

Multi-model prediction efforts in infectious disease modeling and climate modeling involve multiple teams independently producing projections under various scenarios. Often these scenarios are produced by the presence and absence of a…

统计方法学 · 统计学 2022-08-11 Yuanhao Lu , Ajitesh Srivastava

High-dimensional linear regression has been thoroughly studied in the context of independent and identically distributed data. We propose to investigate high-dimensional regression models for independent but non-identically distributed…

统计理论 · 数学 2026-05-20 Jérémie Bigot , Issa-Mbenard Dabo , Camille Male

Distortion (Denneberg 1990) is a well known premium calculation principle for insurance contracts. In this paper, we study sensitivity properties of distortion functionals w.r.t. the assumptions for risk aversion as well as robustness…

风险管理 · 定量金融 2018-09-19 Daniela Escobar , Georg Pflug