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Optimal a priori estimates are derived for the population risk, also known as the generalization error, of a regularized residual network model. An important part of the regularized model is the usage of a new path norm, called the weighted…

Machine Learning · Computer Science 2019-06-03 Weinan E , Chao Ma , Qingcan Wang

The predictiveness curve is a valuable tool for predictive evaluation, risk stratification, and threshold selection in a target population, given a single biomarker or a prediction model. In the presence of competing risks, regression…

Methodology · Statistics 2025-08-04 Wei Tao , Jing Ning , Wen Li , Wenyaw Chan , Xi Luo , Ruosha Li

Random shifting typically appears in credibility models whereas random scaling is often encountered in stochastic models for claim sizes reflecting the time-value property of money. In this article we discuss some aspects of random shifting…

Methodology · Statistics 2014-10-08 Enkelejd Hashorva , Lanpeng Ji

Probabilistic classifiers are central for making informed decisions under uncertainty. Based on the maximum expected utility principle, optimal decision rules can be derived using the posterior class probabilities and misclassification…

Machine Learning · Computer Science 2025-03-25 Alexandre Perez-Lebel , Gael Varoquaux , Sanmi Koyejo , Matthieu Doutreligne , Marine Le Morvan

The net-premium principle is considered to be the most genuine and fair premium principle in actuarial applications. However, an insurance company, applying the net-premium principle, goes bankrupt with probability one in the long run, even…

Risk Management · Quantitative Finance 2013-04-03 Alois Pichler

Modeling insurance claim amounts and classifying claims into different risk levels are critical yet challenging tasks. Traditional predictive models for insurance claims often overlook the valuable information embedded in claim…

Applications · Statistics 2024-10-08 Yanxi Hou , Xiaolan Xia , Guangyuan Gao

Accidental damage is a typical component of motor insurance claim. Modeling of this nature generally involves analysis of past claim history and different characteristics of the insured objects and the policyholders. Generalized linear…

Applications · Statistics 2017-10-11 Sen Hu , Adrian O'Hagan , Thomas Brendan Murphy

The propensity score is a common tool for estimating the causal effect of a binary treatment in observational data. In this setting, matching, subclassification, imputation, or inverse probability weighting on the propensity score can…

Methodology · Statistics 2018-01-03 Michael J Lopez , Roee Gutman

Chronic diseases are long-lasting conditions that require lifelong medical attention. Using big EMR data, we have developed early disease risk prediction models for five common chronic diseases: diabetes, hypertension, CKD, COPD, and…

Machine Learning · Computer Science 2026-03-13 Shaheer Ahmad Khan , Muhammad Usamah Shahid , Muddassar Farooq

This paper investigates a novel behavioral feature of recursive preferences: aversion to risks that persist over time, or simply \textit{correlation aversion}. Greater persistence provides information about future consumption but reduces…

Theoretical Economics · Economics 2026-03-24 Lorenzo Maria Stanca

Risk prediction is central to both clinical medicine and public health. While many machine learning models have been developed to predict mortality, they are rarely applied in the clinical literature, where classification tasks typically…

Machine Learning · Statistics 2017-12-05 Maggie Makar , Marzyeh Ghassemi , David Cutler , Ziad Obermeyer

Equity risk premium is a central component of every risk and return model in finance and a key input to estimate costs of equity and capital in both corporate finance and valuation. An article by Damodaran examines three broad approaches…

Pricing of Securities · Quantitative Finance 2019-03-20 Enzo Busseti

I analyze long-term contracting in insurance markets with asymmetric information. The buyer privately observes her risk type, which evolves stochastically over time. A long-term contract specifies a menu of insurance policies, contingent on…

Theoretical Economics · Economics 2022-09-01 Vitor Farinha Luz

The aim of this paper is to present a mixture composite regression model for claim severity modelling. Claim severity modelling poses several challenges such as multimodality, heavy-tailedness and systematic effects in data. We tackle this…

Methodology · Statistics 2021-08-02 Tsz Chai Fung , George Tzougas , Mario Wuthrich

Bonus-Malus Systems traditionally consider a customer's number of claims irrespective of their sizes, even though these components are dependent in practice. We propose a novel joint experience rating approach based on latent Markovian risk…

Applications · Statistics 2022-10-10 Robert Matthijs Verschuren

Consider an insurance company exposed to a stochastic economic environment that contains two kinds of risk. The first kind is the insurance risk caused by traditional insurance claims, and the second kind is the financial risk resulting…

Statistics Theory · Mathematics 2015-07-29 Jinzhu Li , Qihe Tang

The distribution of health care payments to insurance plans has substantial consequences for social policy. Risk adjustment formulas predict spending in health insurance markets in order to provide fair benefits and health care coverage for…

Applications · Statistics 2021-02-25 Anna Zink , Sherri Rose

Traditional insurance pricing relies on risk-based principles that ensure actuarial fairness and solvency but do not explicitly account for policyholders' price sensitivity. We formulate insurance pricing as a decision-making problem and…

Machine Learning · Statistics 2026-05-29 Sascha Günther , Dimitri Semenovich , Mario V. Wüthrich

Parametric statistical methods play a central role in analyzing risk through its underlying frequency and severity components. Given the wide availability of numerical algorithms and high-speed computers, researchers and practitioners often…

Applications · Statistics 2025-06-17 Michael R. Powers , Jiaxin Xu

Predicting risks of chronic diseases has become increasingly important in clinical practice. When a prediction model is developed in a given source cohort, there is often a great interest to apply the model to other cohorts. However, due to…

Methodology · Statistics 2020-03-05 Zheng Jiayin , Zheng Yingye , Hsu Li