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A Bonus-Malus System (BMS) in insurance is a premium adjustment mechanism widely used in a posteriori ratemaking process to set the premium for the next contract period based on a policyholder's claim history. The current practice in BMS…

Applications · Statistics 2019-03-15 Rosy Oh , Peng Shi , Jae Youn Ahn

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…

Applications · Statistics 2020-03-05 Rosy Oh , Joseph H. T. Kim , Jae Youn Ahn

It has become standard practice in the non-life insurance industry to employ Generalized Linear Models (GLMs) for insurance pricing. However, these GLMs traditionally work only with a priori characteristics of policyholders, while nowadays…

Applications · Statistics 2021-01-26 Robert Matthijs Verschuren

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…

Applications · Statistics 2012-03-06 Miklós Arató , László Martinek

In this paper, we propose a novel frequency-severity joint trip-level risk index that combines the frequency of abnormal driving patterns with a severity component reflecting how extreme such behavior is relative to a portfolio-level…

Applications · Statistics 2026-03-18 Jongtaek Lee , Andrei Badescu , X. Sheldon Lin

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…

Applications · Statistics 2021-06-08 Jae Youn Ahn , Eric C. K. Cheung , Rosy Oh , Jae-Kyung Woo

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…

Risk Management · Quantitative Finance 2010-09-22 Magda Schiegl

We develop a claim score based on the Bonus-Malus approach proposed by [7]. We compare the fit and predictive ability of this new model with various models for of panel count data. In particular, we study in more details a new dynamic model…

Applications · Statistics 2018-12-18 Jean-Philippe Boucher , Mathieu Pigeon

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

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…

Econometrics · Economics 2025-04-01 Dong-Young Lim

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

Approving and assessing new drugs is complex because multiple criteria must be considered simultaneously. A common approach is benefit-risk analysis, often conducted within a Bayesian framework to account for uncertainty and combine data…

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,…

Applications · Statistics 2019-06-11 Rosy Oh , Jae Youn Ahn , Woojoo Lee

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…

Applications · Statistics 2020-06-12 Rosy Oh , Himchan Jeong , Jae Youn Ahn , Emiliano A. Valdez

The collective risk model differentiates usually between claims frequencies (and their distribution) and claim sizes (and their distribution). For the claims frequencies typically classical discrete distributions are considered, such as…

Risk Management · Quantitative Finance 2023-09-12 Dietmar Pfeifer

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…

Optimization and Control · Mathematics 2026-01-13 Lea Enzi , Stefan Thonhauser

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…

Applications · Statistics 2022-10-03 Spark C. Tseung , Ian Weng Chan , Tsz Chai Fung , Andrei L. Badescu , X. Sheldon Lin

A recommender system (RS) aims to provide users with personalized item recommendations, enhancing their overall experience. Traditional RSs collect and process all user data on a central server. However, this centralized approach raises…

Machine Learning · Computer Science 2025-04-22 Junxiang Gao , Yixin Ran , Jia Chen

We propose a latent topic model with a Markovian transition for process data, which consist of time-stamped events recorded in a log file. Such data are becoming more widely available in computer-based educational assessment with complex…

Methodology · Statistics 2019-11-06 Haochen Xu , Guanhua Fang , Zhiliang Ying

In this paper we consider a reduced-form intensity-based credit risk model with a hidden Markov state process. A filtering method is proposed for extracting the underlying state given the observation processes. The method may be applied to…

Computational Finance · Quantitative Finance 2016-03-10 Feng-Hui Yu , Wai-Ki Ching , Jia-Wen Gu , Tak-Kuen Siu
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