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This work presents a Gaussian Process (GP) modeling method to predict statistical characteristics of injury kinematics responses using Human Body Models (HBM) more accurately and efficiently. We validate the GHBMC model against a 50\%tile…

应用统计 · 统计学 2025-04-04 Changmin Baek , Junik Cho , Dongjin Lee

Approach-level models were developed to accommodate the diversity of approaches within the same intersection. A random effect term, which indicates the intersection-specific effect, was incorporated into each crash type model to deal with…

应用统计 · 统计学 2018-05-17 Xuesong Wang , Jinghui Yuan , Xiaohan Yang

Overtaking in high-speed autonomous racing demands precise, real-time estimation of collision risk; particularly in wheel-to-wheel scenarios where safety margins are minimal. Existing methods for collision risk estimation either rely on…

机器人学 · 计算机科学 2025-10-02 Trent Weiss , Madhur Behl

The problem of overdispersed claim counts and mismeasured covariates is common in insurance. On the one hand, the presence of overdispersion in the count data violates the homogeneity assumption, and on the other hand, measurement errors in…

统计方法学 · 统计学 2023-10-12 Minkun Kim

In this paper, we consider bivariate composite models for modeling jointly different types of claims and their associated costs in a flexible manner. For expository purposes, the Gumbel copula is paired with the composite Weibull-Inverse…

应用统计 · 统计学 2022-10-12 Girish Aradhye , George Tzougas , Deepesh Bhati

This paper estimates the break point for large-dimensional factor models with a single structural break in factor loadings at a common unknown date. First, we propose a quasi-maximum likelihood (QML) estimator of the change point based on…

计量经济学 · 经济学 2021-04-01 Jiangtao Duan , Jushan Bai , Xu Han

Every time drivers take to the road, and with each mile that they drive, exposes themselves and others to the risk of an accident. Insurance premiums are only weakly linked to mileage, however, and have lump-sum characteristics largely. The…

风险管理 · 定量金融 2020-03-11 Safoora Zarei , Ali R. Fallahi

Automotive insurers increasingly have access to telematic information via black-box recorders installed in the insured vehicle, and wish to identify undesirable behaviour which may signify increased risk or uninsured activities. However,…

机器学习 · 统计学 2024-04-23 Mark McLeod , Bernardo Perez-Orozco , Nika Lee , Davide Zilli

Generalized linear models (GLMs) have been used quite effectively in the modeling of a mean response under nonstandard conditions, where discrete as well as continuous data distributions can be accommodated. The choice of design for a GLM…

统计理论 · 数学 2016-08-14 André I. Khuri , Bhramar Mukherjee , Bikas K. Sinha , Malay Ghosh

A main difficulty in actuarial claim size modeling is that there is no simple off-the-shelf distribution that simultaneously provides a good distributional model for the main body and the tail of the data. In particular, covariates may have…

统计方法学 · 统计学 2023-01-27 Tobias Fissler , Michael Merz , Mario V. Wüthrich

We revisit the classical, full-fledged Bayesian model averaging (BMA) paradigm to ensemble pre-trained and/or lightly-finetuned foundation models to enhance the classification performance on image and text data. To make BMA tractable under…

机器学习 · 计算机科学 2025-05-29 Mijung Park

Distributed lag models (DLMs) express the cumulative and delayed dependence between pairs of time-indexed response and explanatory variables. In practical application, users of DLMs examine the estimated influence of a series of lagged…

应用统计 · 统计学 2018-01-23 Alastair Rushworth

Causal learning has long concerned itself with the accurate recovery of underlying causal mechanisms. Such causal modelling enables better explanations of out-of-distribution data. Prior works on causal learning assume that the high-level…

We address the component-based regularisation of a multivariate Generalised Linear Mixed Model (GLMM) in the framework of grouped data. A set Y of random responses is modelled with a multivariate GLMM, based on a set X of explanatory…

统计理论 · 数学 2019-08-13 Jocelyn Chauvet , Catherine Trottier , Xavier Bry

Modelling claim frequency and severity for non-life insurance pricing predominantly relies on generalised linear models, with gradient-boosted machines as the leading machine learning alternative. Tabular foundation models (TFMs) present a…

风险管理 · 定量金融 2026-05-26 Bruno Deprez , Wouter Verbeke , Tim Verdonck

We study model selection and model averaging in generalized additive partial linear models (GAPLMs). Polynomial spline is used to approximate nonparametric functions. The corresponding estimators of the linear parameters are shown to be…

统计理论 · 数学 2011-03-09 Xinyu Zhang , Hua Liang

Insurance data can be asymmetric with heavy tails, causing inadequate adjustments of the usually applied models. To deal with this issue, hierarchical models for collective risk with heavy-tails of the claims distributions that take also…

应用统计 · 统计学 2021-01-26 Pamela M. Chiroque-Solano , Fernando A. S. Moura

For many cancer sites low-dose risks are not known and must be extrapolated from those observed in groups exposed at much higher levels of dose. Measurement error can substantially alter the dose-response shape and hence the extrapolated…

定量方法 · 定量生物学 2024-03-15 Mark P Little , Nobuyuki Hamada , Lydia B Zablotska

Bayesian models of legal arguments generally aim to produce a single integrated model, combining each of the legal arguments under consideration. This combined approach implicitly assumes that variables and their relationships can be…

应用统计 · 统计学 2020-01-31 Martin Neil , Norman Fenton , David Lagnado , Richard D. Gill

Bayesian model averaging (BMA) is the state of the art approach for overcoming model uncertainty. Yet, especially on small data sets, the results yielded by BMA might be sensitive to the prior over the models. Credal Model Averaging (CMA)…

统计方法学 · 统计学 2014-05-15 Giorgio Corani , Andrea Mignatti