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Related papers: Pay-As-You-Drive Insurance Pricing Model

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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

We present an analytical study of an insurance company. We model the company's performance on a statistical basis and evaluate the predicted annual income of the company in terms of insurance parameters namely the premium, total number of…

Statistical Mechanics · Physics 2008-12-10 M. Ebrahim Fouladvand , Amir H. Darooneh

In order to determine a suitable automobile insurance policy premium one needs to take into account three factors, the risk associated with the drivers and cars on the policy, the operational costs associated with management of the policy…

Machine Learning · Computer Science 2022-09-08 Patrick Hosein

Technology trends as digitalization and Industry 4.0 initiate a growing demand for new business models. Most of this models requires a fundamental shift of operational and financial risks between seller and buyer. A key question is…

Mathematical Finance · Quantitative Finance 2022-12-20 Roger Knecktys , Henrik Bette , Rüdiger Kiesel , Thomas Guhr

The paper introduces an approach to telematics devices data application in automotive insurance. We conduct a comparative analysis of different types of devices that collect information on vehicle utilization and driving style of its…

Applications · Statistics 2019-10-07 Konstantin Korishchenko , Ivan Stankevich , Nikolay Pilnik , Daria Petrova

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

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

In this manuscript we propose a method for pricing insurance products that cover not only traditional risks, but also unforeseen ones. By considering the Poisson process parameter to be a mixed random variable, we capture the heterogeneity…

General Finance · Quantitative Finance 2020-08-10 Weihong Ni , Corina Constantinescu , Alfredo Egídio dos Reis , Véronique Maume-Deschamps

It has been for a long time to use big data of autonomous vehicles for perception, prediction, planning, and control of driving. Naturally, it is increasingly questioned why not using this big data for risk management and actuarial…

Risk Management · Quantitative Finance 2021-09-16 Jiamin Yu

We introduce a collective model for life insurance where the heterogeneity of each insured, including the health state, is modeled by a diffusion process. This model is influenced by concepts in statistical mechanics. Using the proposed…

General Finance · Quantitative Finance 2020-12-18 Jirô Akahori , Yuuki Ida , Maho Nishida , Shuji Tamada

It is illustrated a methodology to compute the pure premium for the automobile insurance (claim frequency and severity) using generalized linear models. It is obtained the pure premium for the partial damage loss cover (PPD) using a set of…

Risk Management · Quantitative Finance 2017-07-13 William Guevara-Alarcón , Luz Mery González , Armando Antonio Zarruk

We consider the insurance company as a physical system which is immersed in its environment (the financial market). The insurer company interacts with the market by exchanging the money through the payments for loss claims and receiving the…

Statistical Mechanics · Physics 2008-12-10 Amir H. Darooneh

Safety is a central requirement for automated vehicles. As such, the assessment of risk in automated driving is key in supporting both motion planning technologies and safety evaluation. In automated driving, risk is characterized by two…

Robotics · Computer Science 2026-01-22 Leon Tolksdorf , Arturo Tejada , Jonas Bauernfeind , Christian Birkner , Nathan van de Wouw

In this paper, we address the identification and estimation of insurance models where insurees have private information about their risk and risk aversion. The model includes random damages and allows for several claims, while insurers…

General Economics · Economics 2024-10-14 Gaurab Aryal , Isabelle Perrigne , Quang Vuong , Haiqing Xu

The insurance model when the amount of claims depends on the state of the insured person (healthy, ill, or dead) and claims are connected in a Markov chain is investigated. The signed compound Poisson approximation is applied to the…

Probability · Mathematics 2020-01-13 Gabija Liaudanskaitė , Vydas Čekanavičius

This paper investigates the benefits of incorporating diversification effects into the pricing process of insurance policies from two different business lines. The paper shows that, for the same risk reduction, insurers pricing policies…

Theoretical Economics · Economics 2025-08-20 Hamza Hanbali

The data presented here show that human drivers apply a discrete noisy control mechanism to drive their vehicle. A car-following model built on these observations, together with some physical limitations (crash-freeness, acceleration), led…

Physics and Society · Physics 2009-11-11 Peter Wagner

Important models in insurance, for example the Carm{\'e}r--Lundberg theory and the Sparre Andersen model, essentially rely on the Poisson process. The process is used to model arrival times of insurance claims. This paper extends the…

Statistics Theory · Mathematics 2019-04-16 Arun Kumar , Nikolai Leonenko , Alois Pichler

We introduce a counting process to model the random occurrence in time of car traffic accidents, taking into account some aspects of the self-excitation typical of this phenomenon. By combining methods from probability and differential…

Physics and Society · Physics 2025-05-19 Simone Göttlich , Thomas Schillinger , Andrea Tosin

For vehicle sharing schemes, where drop-off positions are not fixed, we propose a pricing scheme, where the price depends in part on the distance between where a vehicle is being dropped off and where the closest shared vehicle is parked.…

Optimization and Control · Mathematics 2019-10-01 Jakub Marecek , Robert Shorten , Jia Yuan Yu
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