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Our paper explores a discrete-time risk model with time-varying premiums, investigating two types of correlated claims: main claims and by-claims. Settlement of the by-claims can be delayed for one time period, representing real-world…

Risk Management · Quantitative Finance 2024-08-02 Dhiti Osatakul , Shuanming Li , Xueyuan Wu

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

We present a framework for generating multiple imputations for continuous data when the missing data mechanism is unknown. Imputations are generated from more than one imputation model in order to incorporate uncertainty regarding the…

Applications · Statistics 2013-01-14 Juned Siddique , Ofer Harel , Catherine M. Crespi

In recent years it has become possible to collect GPS data from drivers and to incorporate this data into automobile insurance pricing for the driver. This data is continuously collected and processed nightly into metadata consisting of…

Machine Learning · Computer Science 2022-05-11 Allen R. Williams , Yoolim Jin , Anthony Duer , Tuka Alhanai , Mohammad Ghassemi

Policy evaluation in empirical microeconomics has been focusing on estimating the average treatment effect and more recently the heterogeneous treatment effects, often relying on the unconfoundedness assumption. We propose a method based on…

Econometrics · Economics 2023-06-06 Wei Tian

We investigate an insurance risk model that consists of two reserves which receive income at fixed rates. Claims are being requested at random epochs from each reserve and the interclaim times are generally distributed. The two reserves are…

Probability · Mathematics 2015-08-05 E. S. Badila , O. J. Boxma , J. A. C. Resing

We propose a new class of claim severity distributions with six parameters, that has the standard two-parameter distributions, the log-normal, the log-Gamma, the Weibull, the Gamma and the Pareto, as special cases. This distribution is much…

Methodology · Statistics 2018-05-29 Erik Bølviken , Ingrid Hobæk Haff

Individual risk models need to capture possible correlations as failing to do so typically results in an underestimation of extreme quantiles of the aggregate loss. Such dependence modelling is particularly important for managing credit…

Methodology · Statistics 2014-12-11 Michel Denuit , Anna Kiriliouk , Johan Segers

This paper studies proportional risk sharing at claim occurrence time in community-based insurance. Each participant is modeled by an individual Cram\'er-Lundberg surplus process, and, whenever a claim is reported within the pool, its cost…

Probability · Mathematics 2026-04-01 Michel Denuit , José Miguel Flores-Contró , Christian Y. Robert

In applications of predictive modeling, such as insurance pricing, indirect or proxy discrimination is an issue of major concern. Namely, there exists the possibility that protected policyholder characteristics are implicitly inferred from…

Machine Learning · Computer Science 2022-07-07 Mathias Lindholm , Ronald Richman , Andreas Tsanakas , Mario V. Wüthrich

Securing an adequate supply of dispatchable resources is critical for keeping a power system reliable under high penetrations of variable generation. Traditional resource adequacy mechanisms are poorly suited to exploiting the growing…

Systems and Control · Electrical Eng. & Systems 2022-10-27 Farhad Billimoria , Filiberto Fele , Iacopo Savelli , Thomas Morstyn , Malcolm McCulloch

Nowadays, auto insurance companies set personalized insurance rate based on data gathered directly from their customers' cars. In this paper, we show such a personalized insurance mechanism -- wildly adopted by many auto insurance companies…

Cryptography and Security · Computer Science 2017-05-24 Le Guan , Jun Xu , Shuai Wang , Xinyu Xing , Lin Lin , Heqing Huang , Peng Liu , Wenke Lee

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

This paper considers the problem of predicting the number of events that have occurred in the past, but which are not yet observed due to a delay. Such delayed events are relevant in predicting the future cost of warranties, pricing…

Risk Management · Quantitative Finance 2019-03-27 Jonas Crevecoeur , Katrien Antonio , Roel Verbelen

A delay between the occurrence and the reporting of events often has practical implications such as for the amount of capital to hold for insurance companies, or for taking preventive actions in case of infectious diseases. The accurate…

Applications · Statistics 2021-06-24 Roel Verbelen , Katrien Antonio , Gerda Claeskens , Jonas Crevecoeur

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

We approximate the distribution of total expenditure of a retail company over warranty claims incurred in a fixed period [0, T], say the following quarter. We consider two kinds of warranty policies, namely, the non-renewing free…

General Finance · Quantitative Finance 2010-08-06 Abhimanyu Mitra , Sidney I. Resnick

We consider a bivariate Cramer-Lundberg-type risk reserve process with the special feature that each insurance company agrees to cover the deficit of the other. It is assumed that the capital transfers between the companies are…

Probability · Mathematics 2015-05-05 Jevgenijs Ivanovs , Onno Boxma

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

Contemporary insurance theory is concentrated on models with different types of polices and shock events may influence the payments on some of them. Jordanova (2018) considered a model where a shock event contributes to the total claim…

Probability · Mathematics 2022-06-28 Pavlina Jordanova , Evelina Veleva , Kosto Mitov