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In auto insurance, a Bonus-Malus System (BMS) is commonly used as a posteriori risk classification mechanism to set the premium for the next contract period based on a policyholder's claim history. Even though recent literature reports…

应用统计 · 统计学 2020-03-05 Rosy Oh , Joseph H. T. Kim , Jae Youn Ahn

In the classical Bonus-Malus System (BMS) in automobile insurance, the premium for the next year is adjusted according to the policyholder's claim history (particularly frequency) in the previous year. Some variations of the classical BMS…

应用统计 · 统计学 2021-06-08 Jae Youn Ahn , Eric C. K. Cheung , Rosy Oh , Jae-Kyung Woo

The use of bonus-malus systems in compulsory liability automobile insurance is a worldwide applied method for premium pricing. If certain assumptions hold, like the conditional Poisson distribution of the policyholders claim number, then an…

应用统计 · 统计学 2012-03-06 Miklós Arató , László Martinek

The bonus-malus system (BMS) is a widely used premium adjustment mechanism based on policyholder's claim history. Most auto insurance BMSs assume that policyholders in the same bonus-malus (BM) level share the same a posteriori risk…

应用统计 · 统计学 2019-10-24 Rosy Oh , Kyung Suk Lee , Sojung C. Park , Jae Youn Ahn

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…

应用统计 · 统计学 2022-10-10 Robert Matthijs Verschuren

In actuarial research, a task of particular interest and importance is to predict the loss cost for individual risks so that informative decisions are made in various insurance operations such as underwriting, ratemaking, and capital…

应用统计 · 统计学 2019-10-15 Peng Shi , Zifeng Zhao

Based on the recent paper by Delong et al. (2021), two distributions for the total claims amount (loss cost) are considered: Compound Poisson-gamma (CPG) and Tweedie. Each is used as an underlying distribution in the Bonus-Malus Scale (BMS)…

应用统计 · 统计学 2023-11-07 Jean-Philippe Boucher , Raïssa Coulibaly

Several collective risk models have recently been proposed by relaxing the widely used but controversial assumption of independence between claim frequency and severity. Approaches include the bivariate copula model, random effect model,…

应用统计 · 统计学 2019-06-11 Rosy Oh , Jae Youn Ahn , Woojoo Lee

We study an optimal claim reporting problem in a bonus-malus setting. We assume, that the insurance contract consists of two regimes, where reporting a claim leads to a transition to a higher-premium regime, whereas remaining claim-free for…

最优化与控制 · 数学 2026-01-13 Lea Enzi , Stefan Thonhauser

This paper proposes a flexible and analytically tractable class of frequency and severity models for predicting insurance claims. The proposed model is able to capture nonlinear relationships in explanatory variables by characterizing the…

计量经济学 · 经济学 2025-04-01 Dong-Young Lim

The claim experience of the past is a very important information to calculate the fair price of an insurance contract. In a lot of European countries for instance the prices for motor car insurance depend on the number of claims the driver…

风险管理 · 定量金融 2010-09-22 Magda Schiegl

The collective risk model (CRM) for frequency and severity is an important tool for retail insurance ratemaking, macro-level catastrophic risk forecasting, as well as operational risk in banking regulation. This model, which is initially…

应用统计 · 统计学 2021-10-20 Jae Youn Ahn , Himchan Jeong , Yang Lu

A well-designed framework for risk classification and ratemaking in automobile insurance is key to insurers' profitability and risk management, while also ensuring that policyholders are charged a fair premium according to their risk…

应用统计 · 统计学 2022-10-03 Spark C. Tseung , Ian Weng Chan , Tsz Chai Fung , Andrei L. Badescu , X. Sheldon Lin

The prediction of future insurance claims based on observed risk factors, or covariates, help the actuary set insurance premiums. Typically, actuaries use parametric regression models to predict claims based on the covariate information.…

统计方法学 · 统计学 2026-04-14 Mostafa Shams Esfand Abadi , Kaushik Ghosh

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…

应用统计 · 统计学 2017-10-11 Sen Hu , Adrian O'Hagan , Thomas Brendan Murphy

This article, in a first step, considers two Bayes estimators for the relativity premium of a given Bonus--Malus system. It then develops a linear relativity premium that closes, in the sense of weighted mean square error loss, to such…

统计方法学 · 统计学 2017-01-20 Amir T. Payandeh Najafabadi , Mansoureh Sakizadeh

This paper develops a dynamic insurance market model comprising two competing insurance companies and a continuum of insureds, and examines the interaction between strategic underreporting by the insureds and competitive pricing between the…

数理金融 · 定量金融 2026-01-21 Zongxia Liang , Jiayu Zhang , Zhou Zhou , Bin Zou

Typical risk classification procedure in insurance is consists of a priori risk classification determined by observable risk characteristics, and a posteriori risk classification where the premium is adjusted to reflect the policyholder's…

应用统计 · 统计学 2020-02-04 Rosy Oh , Youngju Lee , Dan Zhu , Jae Youn Ahn

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…

For a typical insurance portfolio, the claims process for a short period, typically one year, is characterized by observing frequency of claims together with the associated claims severities. The collective risk model describes this…

应用统计 · 统计学 2020-06-12 Rosy Oh , Himchan Jeong , Jae Youn Ahn , Emiliano A. Valdez
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