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The chain-ladder (CL) method is the most widely used claims reserving technique in non-life insurance. This manuscript introduces a novel approach to computing the CL reserves based on a fundamental restructuring of the data utilization for…

Applications · Statistics 2026-02-19 Ronald Richman , Mario V. Wüthrich

Claim reserving in insurance has been studied through two primary frameworks: the macro-level approach, which estimates reserves at an aggregate level (e.g., Chain-Ladder), and the micro-level approach, which estimates reserves at the…

Methodology · Statistics 2025-02-24 Sebastian Calcetero Vanegas , Andrei L. Badescu , X. Sheldon Lin

The Chain-Ladder (CL) method remains the dominant macro-level technique for claims reserving in non-life insurance, yet its classical formulation lacks a coherent probabilistic foundation. Existing stochastic extensions-including the Mack…

Methodology · Statistics 2026-05-18 Robin Van Oirbeek

A method for analysing the risk of taking a too low reserve level by use of Chain Ladder method is developed. We give an answer to the question of how much safety loading in terms of the Chain Ladder standard error has to be added to the…

Risk Management · Quantitative Finance 2010-09-23 Magda Schiegl

Traditional non-life reserving models largely neglect the vast amount of information collected over the lifetime of a claim. This information includes covariates describing the policy, claim cause as well as the detailed history collected…

Risk Management · Quantitative Finance 2021-11-22 Jonas Crevecoeur , Jens Robben , Katrien Antonio

Inverse probability weighting (IPW) methods are commonly used to analyze non-ignorable missing data under the assumption of a logistic model for the missingness probability. However, solving IPW equations numerically may involve…

Methodology · Statistics 2025-07-24 Pengfei Li , Jing Qin , Yukun Liu

Subsampling techniques can reduce the computational costs of processing big data. Practical subsampling plans typically involve initial uniform sampling and refined sampling. With a subsample, big data inferences are generally built on the…

Methodology · Statistics 2022-09-13 Yan Fan , Yang Liu , Yukun Liu , Jing Qin

Insurers are faced with the challenge of estimating the future reserves needed to handle historic and outstanding claims that are not fully settled. A well-known and widely used technique is the chain-ladder method, which is a deterministic…

Methodology · Statistics 2017-01-17 Kris Peremans , Pieter Segaert , Stefan Van Aelst , Tim Verdonck

Inverse probability weighting (IPW) is widely used in many areas when data are subject to unrepresentativeness, missingness, or selection bias. An inevitable challenge with the use of IPW is that the IPW estimator can be remarkably unstable…

Methodology · Statistics 2021-11-29 Yukun Liu , Yan Fan

Claims reserving is one of the most important actuarial tasks in non-life insurance modeling. There are several popular methods to perform claims reserving such as the chain-ladder (CL), the Bornhuetter--Ferguson (BF) or the generalized…

Applications · Statistics 2026-05-01 Ronald Richman , Mario V. Wüthrich

Currently, legal requirements demand that insurance companies increase their emphasis on monitoring the risks linked to the underwriting and asset management activities. Regarding underwriting risks, the main uncertainties that insurers…

Risk Management · Quantitative Finance 2020-08-19 Eduardo Ramos-Pérez , Pablo J. Alonso-González , José Javier Núñez-Velázquez

Recent sequential pattern mining methods have used the minimum description length (MDL) principle to define an encoding scheme which describes an algorithm for mining the most compressing patterns in a database. We present a novel…

Machine Learning · Statistics 2016-11-14 Jaroslav Fowkes , Charles Sutton

Nested case-control (NCC) is a sampling method widely used for developing and evaluating risk models with expensive biomarkers on large prospective cohort studies. The biomarker values are typically obtained on a sub-cohort, consisting of…

Methodology · Statistics 2021-04-07 Qian M. Zhou , Xuan Wang , Yingye Zheng , Tianxi Cai

Within the Solvency II framework the insurance industry requires a realistic modelling of the risk processes relevant for its business. Every insurance company should be capable of running a holistic risk management process to meet this…

Risk Management · Quantitative Finance 2010-09-23 Magda Schiegl

The aim of this study is to develop and apply an autonomous approach for predicting the probability of hydrocarbon reservoirs spreading in the studied area. The methodology uses machine learning algorithms in the problem of binary…

Geophysics · Physics 2023-06-05 Dmitry Ivlev

The inverse probability weighting (IPW) method is used to handle attrition in association analyses derived from cohort studies. It consists in weighting the respondents at a given follow-up by their inverse probability to participate.…

Applications · Statistics 2021-05-05 Marie-Astrid Metten , Nathalie Costet , J. -F. Viel , Guillaume Chauvet

This paper introduces yet another stochastic model replicating chain-ladder estimates and furthermore considers extensions that add flexibility to the modeling. In its simplest form, the proposed model replicates the chain-ladder's…

Applications · Statistics 2025-01-03 Gabriele Pittarello , Munir Hiabu , Andrés M. Villegas

Recommender systems have become an integral part of online platforms. Every day the volume of training data is expanding and the number of user interactions is constantly increasing. The exploration of larger and more expressive models has…

Information Retrieval · Computer Science 2025-02-13 Antonios Valkanas , Yuening Wang , Yingxue Zhang , Mark Coates

The occurrence of a claim often impacts not one but multiple insurance coverages provided in the contract. To account for this multivariate feature, we propose a new individual claims reserving model built around the activation of the…

Mathematical Finance · Quantitative Finance 2023-08-16 Marie Michaelides , Mathieu Pigeon , Hélène Cossette

The development of coherent missing data models to account for nonmonotone missing at random (MAR) data by inverse probability weighting (IPW) remains to date largely unresolved. As a consequence, IPW has essentially been restricted for use…

Methodology · Statistics 2019-01-23 BaoLuo Sun , Eric J. Tchetgen Tchetgen
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