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The sensitivity of loss reserving techniques to outliers in the data or deviations from model assumptions is a well known challenge. It has been shown that the popular chain-ladder reserving approach is at significant risk to such aberrant…

统计方法学 · 统计学 2023-06-22 Benjamin Avanzi , Mark Lavender , Greg Taylor , Bernard Wong

This paper proposes an adaptive penalized weighted mean regression for outlier detection of high-dimensional data. In comparison to existing approaches based on the mean shift model, the proposed estimators demonstrate robustness against…

统计理论 · 数学 2023-06-27 Jiaqi Li , Linglong Kong , Bei Jiang , Wei Tu

Model averaging is an alternative to model selection for dealing with model uncertainty, which is widely used and very valuable. However, most of the existing model averaging methods are proposed based on the least squares loss function,…

统计方法学 · 统计学 2019-10-29 Miaomiao Wang , Guohua Zou

Outliers widely occur in big-data applications and may severely affect statistical estimation and inference. In this paper, a framework of outlier-resistant estimation is introduced to robustify an arbitrarily given loss function. It has a…

统计方法学 · 统计学 2023-04-20 Yiyuan She , Zhifeng Wang , Jiahui Shen

A robust estimation framework for binary regression models is studied, aiming to extend traditional approaches like logistic regression models. While previous studies largely focused on logistic models, we explore a broader class of models…

统计方法学 · 统计学 2025-02-24 Kenichi Hayashi , Shinto Eguchi

Insurers are faced with the challenge of estimating the future reserves needed to handle historic and outstanding claims that are not fully settled. A well-known and widely used technique is the chain-ladder method, which is a deterministic…

统计方法学 · 统计学 2017-01-17 Kris Peremans , Pieter Segaert , Stefan Van Aelst , Tim Verdonck

This study introduces an outlier-robust model for analyzing hierarchically structured bounded count data within a Bayesian framework, utilizing a logistic regression approach implemented in JAGS. Our model incorporates a t-distributed…

统计方法学 · 统计学 2026-02-17 Divan A. Burger , Sean van der Merwe , Emmanuel Lesaffre

Outlier detection is an important problem occurring in a wide range of areas. Outliers are the outcome of fraudulent behaviour, mechanical faults, human error, or simply natural deviations. Many data mining applications perform outlier…

机器学习 · 计算机科学 2025-10-28 Juan A. Lara , David Lizcano , Víctor Rampérez , Javier Soriano

When applying a statistical method in practice it often occurs that some observations deviate from the usual assumptions. However, many classical methods are sensitive to outliers. The goal of robust statistics is to develop methods that…

统计方法学 · 统计学 2008-08-06 Mia Hubert , Peter J. Rousseeuw , Stefan Van Aelst

Many traditional methods for identifying changepoints can struggle in the presence of outliers, or when the noise is heavy-tailed. Often they will infer additional changepoints in order to fit the outliers. To overcome this problem, data…

统计方法学 · 统计学 2017-07-12 Paul Fearnhead , Guillem Rigaill

A popular approach for comparing gene expression levels between (replicated) conditions of RNA sequencing data relies on counting reads that map to features of interest. Within such count-based methods, many flexible and advanced…

定量方法 · 定量生物学 2014-03-17 Xiaobei Zhou , Helen Lindsay , Mark D. Robinson

Multi-dimensional scaling (MDS) plays a central role in data-exploration, dimensionality reduction and visualization. State-of-the-art MDS algorithms are not robust to outliers, yielding significant errors in the embedding even when only a…

计算机视觉与模式识别 · 计算机科学 2018-02-08 Leonid Blouvshtein , Daniel Cohen-Or

Most multivariate outlier detection procedures ignore the spatial dependency of observations, which is present in many real data sets from various application areas. This paper introduces a new outlier detection method that accounts for a…

统计方法学 · 统计学 2024-01-25 Patricia Puchhammer , Peter Filzmoser

Handling outliers is a fundamental challenge in multivariate data analysis because outliers may distort the structures of correlation or conditional independence. Although robust Bayesian inference has been extensively studied in univariate…

统计方法学 · 统计学 2025-10-27 Yasuyuki Hamura , Kaoru Irie , Shonosuke Sugasawa

This paper presents a fast methodology, called ROBOUT, to identify outliers in a response variable conditional on a set of linearly related predictors, retrieved from a large granular dataset. ROBOUT is shown to be effective and…

统计方法学 · 统计学 2021-04-27 Matteo Farnè , Angelos Vouldis

Real data often contain anomalous cases, also known as outliers. These may spoil the resulting analysis but they may also contain valuable information. In either case, the ability to detect such anomalies is essential. A useful tool for…

机器学习 · 统计学 2021-01-13 Peter J. Rousseeuw , Mia Hubert

A collection of robust Mahalanobis distances for multivariate outlier detection is proposed, based on the notion of shrinkage. Robust intensity and scaling factors are optimally estimated to define the shrinkage. Some properties are…

统计方法学 · 统计学 2020-01-06 Elisa Cabana , Rosa E. Lillo , Henry Laniado

This note investigates the problem of detecting outliers in longitudinal data. It compares well-known methods used in official statistics with proposals from the fields of data mining and machine learning that are based on the distance…

统计方法学 · 统计学 2025-07-30 Marcello D'Orazio

We benchmark the robustness of maximum likelihood based uncertainty estimation methods to outliers in training data for regression tasks. Outliers or noisy labels in training data results in degraded performances as well as incorrect…

机器学习 · 计算机科学 2022-02-09 Deebul S. Nair , Nico Hochgeschwender , Miguel A. Olivares-Mendez

Outlier detection and concept drift detection represent two challenges in data analysis. Most studies address these issues separately. However, joint detection mechanisms in regression remain underexplored, where the continuous nature of…

统计方法学 · 统计学 2025-12-16 Bingbing Wang , Shengyan Sun , Jiaqi Wang , Yu Tang
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