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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…

风险管理 · 定量金融 2010-09-23 Magda Schiegl

Claims reserving, also known as Incurred But Not Reported (IBNR) claims prediction, is an important issue in general insurance. State space modeling is widely recognized as a statistically robust method for addressing this problem. In state…

统计计算 · 统计学 2025-04-15 Rajesh Selukar

We revisit Schnieper's model, which decomposes incurred but not reported (IBNR) reserves into two components: reserves for newly reported claims (true IBNR) and reserves for changes over time in the estimated cost of already reported claims…

统计方法学 · 统计学 2026-03-13 Nicolas Baradel

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…

The paper proposes an original methodology for constructing quantitative statistical models based on multidimensional distribution functions constructed on the basis of the insurance companies' data on inshurance policies (including…

风险管理 · 定量金融 2019-08-15 Valery Baskakov , Nikolay Sheparnev , Evgeny Yanenko

There are growing concerns for reserves estimation of incurred but not reported (IBNR) claims in actuarial sciences. In this paper, we propose a copula-based dependency model to capture the relationship between two main IBNR reserve…

Incurred but not reported (IBNR) loss reserving is an important issue for Property & Casualty (P&C) insurers. The modeling of the claim arrival process, especially its temporal dependence, has not been closely examined in many of the…

应用统计 · 统计学 2015-12-22 Andrei L. Badescu , X. Sheldon Lin , Dameng Tang

In general insurance companies, a correct estimation of liabilities plays a key role due to its impact on management and investing decisions. Since the Financial Crisis of 2007-2008 and the strengthening of regulation, the focus is not only…

Loss reserving generally focuses on identifying a single model that can generate superior predictive performance. However, different loss reserving models specialise in capturing different aspects of loss data. This is recognised in…

统计方法学 · 统计学 2024-06-04 Benjamin Avanzi , Yanfeng Li , Bernard Wong , Alan Xian

Due to the presence of reporting and settlement delay, claim data sets collected by non-life insurance companies are typically incomplete, facing right censored claim count and claim severity observations. Current practice in non-life…

风险管理 · 定量金融 2023-02-10 Jonas Crevecoeur , Katrien Antonio , Stijn Desmedt , Alexandre Masquelein

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…

统计方法学 · 统计学 2017-01-17 Kris Peremans , Pieter Segaert , Stefan Van Aelst , Tim Verdonck

Traditionally, actuaries have used run-off triangles to estimate reserve ("macro" models, on agregated data). But it is possible to model payments related to individual claims. If those models provide similar estimations, we investigate…

应用统计 · 统计学 2016-03-01 Arthur Charpentier , Mathieu Pigeon

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…

风险管理 · 定量金融 2021-11-22 Jonas Crevecoeur , Jens Robben , Katrien Antonio

An intensive research sprang up for stochastic methods in insurance during the past years. To meet all future claims rising from policies, it is requisite to quantify the outstanding loss liabilities. Loss reserving methods based on…

计量经济学 · 经济学 2018-01-08 Matúš Maciak , Ostap Okhrin , Michal Pešta

The reporting delay in data breach incidents poses a formidable challenge for Incurred But Not Reported (IBNR) studies, complicating reserve estimation for actuarial professionals. This work presents a novel Bayesian nowcasting model…

应用统计 · 统计学 2024-07-29 Maochao Xu , Hong Sun , Peng Zhao

This paper introduces a unified micro-level stochastic framework for the joint modeling of loss reserves (RBNS), incurred but not reported (IBNR) reserves, and unearned premium risk under dependence, inflation, and discounting. The proposed…

应用统计 · 统计学 2025-12-15 Emmanuel Hamel , Anas Abdallah , Ghislain Léveillé

The sensitivity of loss reserving techniques to outliers in the data or deviations from model assumptions is a well known challenge. It has been shown that the popular chain-ladder reserving approach is at significant risk to such aberrant…

统计方法学 · 统计学 2023-06-22 Benjamin Avanzi , Mark Lavender , Greg Taylor , Bernard Wong

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…

统计方法学 · 统计学 2025-02-24 Sebastian Calcetero Vanegas , Andrei L. Badescu , X. Sheldon Lin

Nowadays insurers have to account for potentially complex dependence between risks. In the field of loss reserving, there are many parametric and non-parametric models attempting to capture dependence between business lines. One common…

统计方法学 · 统计学 2024-10-22 Andrew Fleck , Edward Furman , Yang Shen

A common approach to the claims reserving problem is based on generalized linear models (GLM). Within this framework, the claims in different origin and development years are assumed to be independent variables. If this assumption is…

应用统计 · 统计学 2013-06-18 Šárka Hudecová , Michal Pešta
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