Hurdle models in non-life insurance
Překážkové modely v neživotním pojištění
diploma thesis (DEFENDED)

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http://hdl.handle.net/20.500.11956/94848Identifiers
Study Information System: 188550
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- Kvalifikační práce [11338]
Author
Advisor
Referee
Branda, Martin
Faculty / Institute
Faculty of Mathematics and Physics
Discipline
Financial and Insurance Mathematics
Department
Department of Probability and Mathematical Statistics
Date of defense
31. 1. 2018
Publisher
Univerzita Karlova, Matematicko-fyzikální fakultaLanguage
English
Grade
Good
Keywords (Czech)
překážkový model, neživotní pojištění, logistická regrese, semikontinuální dataKeywords (English)
hurdle model, non-life insurance, logistic regression, semi-continuous dataA number of articles only present hurdle models for count data. we are motivated to present hurdle models for semi-continuous data. Because semi- continuous data is also commonly seen in non-life insurance. The thesis deals with the parameterization of various hurdle models for semi-continuous data besides for count data in non-life insurance. Two components of a hurdle model are modeled separately. A hurdle component is modeled by a logistic regression. For a semi-continuous data, a continuous component is modeled by several various regressions. Parameters of each component are estimated through maximum likelihood estimation. Model selection is mentioned before theoretical approaches are applied on the vehicle insurance data. Finally, we get some predicted values based on the fitted models. The prediction gives insurance companies a general idea on setting premium but not accurate. 1
A number of articles only present hurdle models for count data. we are motivated to present hurdle models for semi-continuous data. Because semi- continuous data is also commonly seen in non-life insurance. The thesis deals with the parameterization of various hurdle models for semi-continuous data besides for count data in non-life insurance. Two components of a hurdle model are modeled separately. A hurdle component is modeled by a logistic regression. For a semi-continuous data, a continuous component is modeled by several various regressions. Parameters of each component are estimated through maximum likelihood estimation. Model selection is mentioned before theoretical approaches are applied on the vehicle insurance data. Finally, we get some predicted values based on the fitted models. The prediction gives insurance companies a general idea on setting premium but not accurate. 1