On the Validation of Claims with Excess Zeros in Liability Insurance: A Comparative Study

In this study, we consider the problem of zero claims in a liability insurance portfolio and compare the predictability of three models. We use French motor third party liability (MTPL) insurance data, which has been used for a pricing game, and show that how the type of coverage and policyholders&a...

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Bibliographic Details
Main Author: Marjan Qazvini
Format: Article
Language:English
Published: MDPI AG 2019-06-01
Series:Risks
Subjects:
Online Access:https://www.mdpi.com/2227-9091/7/3/71
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spelling doaj-a4680d7f200e4e8592b609ff9bbfeea62020-11-25T00:29:17ZengMDPI AGRisks2227-90912019-06-01737110.3390/risks7030071risks7030071On the Validation of Claims with Excess Zeros in Liability Insurance: A Comparative StudyMarjan Qazvini0Department of Actuarial Mathematics and Statistics, School of Mathematical and Computer Sciences, Heriot-Watt University Malaysia, 62200 Putrajaya, Wilayah Persekutuan Putrajaya, MalaysiaIn this study, we consider the problem of zero claims in a liability insurance portfolio and compare the predictability of three models. We use French motor third party liability (MTPL) insurance data, which has been used for a pricing game, and show that how the type of coverage and policyholders’ willingness to subscribe to insurance pricing, based on telematics data, affects their driving behaviour and hence their claims. Using our validation set, we then predict the number of zero claims. Our results show that although a zero-inflated Poisson (ZIP) model performs better than a Poisson regression, it can even be outperformed by logistic regression.https://www.mdpi.com/2227-9091/7/3/71validationgeneralised linear modellingzero-inflated poisson modeltelematics
collection DOAJ
language English
format Article
sources DOAJ
author Marjan Qazvini
spellingShingle Marjan Qazvini
On the Validation of Claims with Excess Zeros in Liability Insurance: A Comparative Study
Risks
validation
generalised linear modelling
zero-inflated poisson model
telematics
author_facet Marjan Qazvini
author_sort Marjan Qazvini
title On the Validation of Claims with Excess Zeros in Liability Insurance: A Comparative Study
title_short On the Validation of Claims with Excess Zeros in Liability Insurance: A Comparative Study
title_full On the Validation of Claims with Excess Zeros in Liability Insurance: A Comparative Study
title_fullStr On the Validation of Claims with Excess Zeros in Liability Insurance: A Comparative Study
title_full_unstemmed On the Validation of Claims with Excess Zeros in Liability Insurance: A Comparative Study
title_sort on the validation of claims with excess zeros in liability insurance: a comparative study
publisher MDPI AG
series Risks
issn 2227-9091
publishDate 2019-06-01
description In this study, we consider the problem of zero claims in a liability insurance portfolio and compare the predictability of three models. We use French motor third party liability (MTPL) insurance data, which has been used for a pricing game, and show that how the type of coverage and policyholders’ willingness to subscribe to insurance pricing, based on telematics data, affects their driving behaviour and hence their claims. Using our validation set, we then predict the number of zero claims. Our results show that although a zero-inflated Poisson (ZIP) model performs better than a Poisson regression, it can even be outperformed by logistic regression.
topic validation
generalised linear modelling
zero-inflated poisson model
telematics
url https://www.mdpi.com/2227-9091/7/3/71
work_keys_str_mv AT marjanqazvini onthevalidationofclaimswithexcesszerosinliabilityinsuranceacomparativestudy
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