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Actuaries use predictive modeling techniques to assess the loss cost on a contract as a function of observable risk characteristics. State-of-the-art statistical and machine learning methods are not well equipped to handle hierarchically…

Applications · Statistics 2023-02-01 Bavo D. C. Campo , Katrien Antonio

This paper investigates a robust optimal consumption, investment, and reinsurance problem for an insurer with Epstein-Zin recursive preferences operating under model uncertainty. The insurer's surplus follows the diffusion approximation of…

Optimization and Control · Mathematics 2025-11-06 Elizabeth Dadzie , Wilfried Kuissi-Kamdem , Marcel Ndengo

This paper analyzes the equilibrium of insurance market in a dynamic setting, focusing on the interaction between insurers' underwriting and investment strategies. Three possible equilibrium outcomes are identified: a positive insurance…

Theoretical Economics · Economics 2025-04-11 Bingzheng Chen , Zongxia Liang , Shunzhi Pang

As the use of machine learning in high impact domains becomes widespread, the importance of evaluating safety has increased. An important aspect of this is evaluating how robust a model is to changes in setting or population, which…

Machine Learning · Computer Science 2021-03-16 Adarsh Subbaswamy , Roy Adams , Suchi Saria

Forecasting accuracy is routinely optimised in financial prediction tasks even though investment and risk-management decisions are executed under transaction costs, market impact, capacity limits, and binding risk constraints. This paper…

Econometrics · Economics 2026-01-14 Craig S Wright

Risk diversification is the basis of insurance and investment. It is thus crucial to study the effects that could limit it. One of them is the existence of systemic risk that affects all the policies at the same time. We introduce here a…

Risk Management · Quantitative Finance 2013-12-03 Marc Busse , Michel Dacorogna , Marie Kratz

We model the influence of sharing large exogeneous losses to the reinsurance market by a bipartite graph. Using Pareto-tailed claims and multivariate regular variation we obtain asymptotic results for the Value-at-Risk and the Conditional…

Risk Management · Quantitative Finance 2015-11-16 Oliver Kley , Claudia Kluppelberg , Gesine Reinert

This project works with the risk model developed by Li et al. (2015) and quests modelling, estimating and pricing insurance for risks brought in by innovative technologies, or other emerging or latent risks. The model considers two…

Statistics Theory · Mathematics 2019-05-20 Weihong Ni , Corina Constantinescu , Alfredo Egídio dos Reis , Véronique Maume-Deschamps

Split conformal prediction has recently sparked great interest due to its ability to provide formally guaranteed uncertainty sets or intervals for predictions made by black-box neural models, ensuring a predefined probability of containing…

Machine Learning · Computer Science 2024-01-29 António Farinhas , Chrysoula Zerva , Dennis Ulmer , André F. T. Martins

We consider the optimal reinsurance problem from the point of view of a direct insurer owning several dependent risks, assuming a maximal expected utility criterion and independent negotiation of reinsurance for each risk. Without any…

Probability · Mathematics 2021-06-16 Manuel Guerra , Alexandra B. Moura

This paper considers the optimal dividend payment problem in piecewise-deterministic compound Poisson risk models. The objective is to maximize the expected discounted dividend payout up to the time of ruin. We provide a comparative study…

Optimization and Control · Mathematics 2016-08-02 Runhuan Feng , Hans Volkmer , Shuaiqi Zhang , Chao Zhu

Equilibrium pricing has been proven to underlie the rational Insured expectancy of premia additivity for composition of policies fully covering independent risks.

Probability · Mathematics 2008-12-10 Renato Ghisellini

We study Pareto optimality in a decentralized peer-to-peer risk-sharing market where agents' preferences are represented by robust distortion risk measures that are not necessarily convex. We obtain a characterization of Pareto-optimal…

Risk Management · Quantitative Finance 2025-10-08 Mario Ghossoub , Michael B. Zhu , Wing Fung Chong

Accurate forecasting of an insurer's outstanding liabilities is vital for the solvency of insurance companies and the financial stability of the insurance sector. For health and disability insurance, the liabilities are intimately linked…

Statistics Theory · Mathematics 2025-08-12 K. Buchardt , C. Furrer , O. L. Sandqvist

The so-called pinball loss for estimating conditional quantiles is a well-known tool in both statistics and machine learning. So far, however, only little work has been done to quantify the efficiency of this tool for nonparametric…

Statistics Theory · Mathematics 2011-02-11 Ingo Steinwart , Andreas Christmann

Rigorous guarantees about the performance of predictive algorithms are necessary in order to ensure their responsible use. Previous work has largely focused on bounding the expected loss of a predictor, but this is not sufficient in many…

Machine Learning · Computer Science 2022-12-29 Jake C. Snell , Thomas P. Zollo , Zhun Deng , Toniann Pitassi , Richard Zemel

In the present work we tackle the problem of finding the optimal price tariff to be set by a risk-averse electric retailer participating in the pool and whose customers are price-sensitive. We assume that the retailer has access to a…

Optimization and Control · Mathematics 2022-02-24 Román Pérez-Santalla , Miguel Carrión , Carlos Ruiz

Tuning parameters are parameters involved in an estimating procedure for the purpose of reducing the risk of some other estimator. Examples include the degree of penalization in penalized regression and likelihood problems, as well as the…

Statistics Theory · Mathematics 2026-03-31 Ingrid Dæhlen , Nils Lid Hjort , Ingrid Hobæk Haff

The off-policy learning paradigm allows for recommender systems and general ranking applications to be framed as decision-making problems, where we aim to learn decision policies that optimize an unbiased offline estimate of an online…

Machine Learning · Computer Science 2024-08-15 Shashank Gupta , Olivier Jeunen , Harrie Oosterhuis , Maarten de Rijke

We address the statistical estimation of composite functionals which may be nonlinear in the probability measure. Our study is motivated by the need to estimate coherent measures of risk, which become increasingly popular in finance,…

Statistics Theory · Mathematics 2015-04-13 Darinka Dentcheva , Spiridon Penev , Andrzej Ruszczynski
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