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Understanding variable dependence, particularly eliciting their statistical properties given a set of covariates, provides the mathematical foundation in practical operations management such as risk analysis and decision-making given…

Methodology · Statistics 2023-09-06 Yunyun Wang , Tatsushi Oka , Dan Zhu

Rolling bearings are critical components in rotating machinery, and their faults can cause severe damage. Early detection of abnormalities is crucial to prevent catastrophic accidents. Traditional and intelligent methods have been used to…

Computer Vision and Pattern Recognition · Computer Science 2023-04-12 Weiyang Jin

Prediction uncertainty quantification is a key research topic in recent years scientific and business problems. In insurance industries (\cite{parodi2023pricing}), assessing the range of possible claim costs for individual drivers improves…

Machine Learning · Statistics 2025-07-10 Alokesh Manna , Aditya Vikram Sett , Dipak K. Dey , Yuwen Gu , Elizabeth D. Schifano , Jichao He

Wood products that are subjected to sustained stress over a period of long duration may weaken, and this effect must be considered in models for the long-term reliability of lumber. The damage accumulation approach has been widely used for…

Applications · Statistics 2017-06-16 Chun-Hao Yang , James V. Zidek , Samuel W. K. Wong

Trade credit insurance (TCI) is a specialized line of property and casualty insurance, protecting businesses against financial losses due to buyer's insolvency. Predictive modeling for TCI claims poses formidable challenges due to the…

Applications · Statistics 2025-09-26 Woongchae Yoo , Spark C. Tseung , Tsz Chai Fung

Machine Learning (ML) models are increasingly integrated into safety-critical systems, such as autonomous vehicle platooning, to enable real-time decision-making. However, their inherent imperfection introduces a new class of failure:…

Artificial Intelligence · Computer Science 2025-06-10 Razieh Arshadizadeh , Mahmoud Asgari , Zeinab Khosravi , Yiannis Papadopoulos , Koorosh Aslansefat

Bayesian statistical inference for Generalized Linear Models (GLMs) with parameters lying on a constrained space is of general interest (e.g., in monotonic or convex regression), but often constructing valid prior distributions supported on…

Methodology · Statistics 2021-09-02 Rahul Ghosal , Sujit K. Ghosh

This paper presents a new procedure for evaluating the goodness of fit of Generalized Linear Models (GLM) estimated with Roadway Departure (RwD) crash frequency data for the State of Hawaii on two-lane two-way (TLTW) state roads. The…

Applications · Statistics 2022-05-04 Mohammadreza Hashemi , Adrian Ricardo Archilla

We present a joint copula-based model for insurance claims and sizes. It uses bivariate copulae to accommodate for the dependence between these quantities. We derive the general distribution of the policy loss without the restrictive…

Statistics Theory · Mathematics 2012-09-25 Nicole Kraemer , Eike C. Brechmann , Daniel Silvestrini , Claudia Czado

The multilevel model (MLM) is the popular approach to describe dependences of hierarchically clustered observations. A main feature is the capability to estimate (cluster-specific) random effect parameters, while their distribution…

Methodology · Statistics 2021-06-21 Jean-Paul Fox , Wouter Smink

We study optimal proportional reinsurance and investment strategies for an insurance company which experiences both ordinary and catastrophic claims and wishes to maximize the expected exponential utility of its terminal wealth. We propose…

Portfolio Management · Quantitative Finance 2021-05-18 Claudia Ceci , Katia Colaneri , Alessandra Cretarola

Life insurance, like other forms of insurance, relies heavily on large volumes of data. The business model is based on an exchange where companies receive payments in return for the promise to provide coverage in case of an accident. Thus,…

Applications · Statistics 2024-11-27 Andreas Groll , Akshat Khanna , Leonid Zeldin

Analysing dependent risks is an important task for insurance companies. A dependency is reflected in the fact that information about one random variable provides information about the likely distribution of values of another random…

Applications · Statistics 2021-03-22 Sen Hu , Adrian O'Hagan

This article studies Bayesian model averaging (BMA) in the context of competing expensive computer models in a typical nuclear physics setup. While it is well known that BMA accounts for the additional uncertainty of the model itself, we…

Methodology · Statistics 2019-08-26 Vojtech Kejzlar , Léo Neufcourt , Taps Maiti , Frederi Viens

Generalized linear models (GLMs) -- such as logistic regression, Poisson regression, and robust regression -- provide interpretable models for diverse data types. Probabilistic approaches, particularly Bayesian ones, allow coherent…

Computation · Statistics 2018-12-19 Jonathan H. Huggins , Ryan P. Adams , Tamara Broderick

Generalized linear model or GLM constitutes a large class of models and essentially extends the ordinary linear regression by connecting the mean of the response variable with the covariate through appropriate link functions. On the other…

Methodology · Statistics 2026-02-03 Mayukh Choudhury , Debraj Das

Generalized linear models (GLMs) are routinely used for modeling relationships between a response variable and a set of covariates. The simple form of a GLM comes with easy interpretability, but also leads to concerns about model…

Methodology · Statistics 2023-11-10 Davide Agnoletto , Tommaso Rigon , David B. Dunson

Instrumental variables are a popular tool to infer causal effects under unobserved confounding, but choosing suitable instruments is challenging in practice. We propose gIVBMA, a Bayesian model averaging procedure that addresses this…

Methodology · Statistics 2026-03-02 Gregor Steiner , Mark Steel

This paper develops a framework for creating damage accumulation models for engineered wood products by invoking the classical theory of non--dimensionalization. The result is a general class of such models. Both the US and Canadian damage…

Applications · Statistics 2017-08-11 Samuel W. K. Wong , James V. Zidek

Several aspects influence corrosive processes in RC structures, such as environmental conditions, structural geometry, and mechanical properties. Since these aspects present large randomnesses, probabilistic models allow a more accurate…

Numerical Analysis · Mathematics 2021-04-20 Karolinne O. Coelho , Edson D. Leonel , Julio Flórez-López