Statistical models for an MTPL portfolio

Thesis title: Statistical models for an MTPL portfolio
Author: Pirozhkova, Daria
Thesis type: Diploma thesis
Supervisor: Zimmermann, Pavel
Opponents: Malá, Ivana
Thesis language: English
Abstract:
In this thesis, we consider several statistical techniques applicable to claim frequency models of an MTPL portfolio with a focus on overdispersion. The practical part of the work is focused on the application and comparison of the models on real data represented by an MTPL portfolio. The comparison is presented by the results of goodness-of-fit measures. Furthermore, the predictive power of selected models is tested for the given dataset, using the simulation method. Hence, this thesis provides a combination of the analysis of goodness-of-fit results and the predictive power of the models.
Keywords: Poisson model; overdispersion; cross-validation; predictive power; Overdispersed Poisson model; claim frequency; pricing model; goodness-of-fit; Negative Binomial model; count data model
Thesis title: Statistical models for an MTPL portfolio
Author: Pirozhkova, Daria
Thesis type: Diplomová práce
Supervisor: Zimmermann, Pavel
Opponents: Malá, Ivana
Thesis language: English
Abstract:
In this thesis, we consider several statistical techniques applicable to claim frequency models of an MTPL portfolio with a focus on overdispersion. The practical part of the work is focused on the application and comparison of the models on real data represented by an MTPL portfolio. The comparison is presented by the results of goodness-of-fit measures. Furthermore, the predictive power of selected models is tested for the given dataset, using the simulation method. Hence, this thesis provides a combination of the analysis of goodness-of-fit results and the predictive power of the models.
Keywords: pricing model; claim frequency; Negative Binomial model; Overdispersed Poisson model; Poisson model; count data model; overdispersion; cross-validation; predictive power; goodness-of-fit

Information about study

Study programme: Kvantitativní metody v ekonomice/Quantitative Economic Analysis
Type of study programme: Magisterský studijní program
Assigned degree: Ing.
Institutions assigning academic degree: Vysoká škola ekonomická v Praze
Faculty: Faculty of Informatics and Statistics
Department: Department of Statistics and Probability

Information on submission and defense

Date of assignment: 26. 10. 2016
Date of submission: 18. 5. 2017
Date of defense: 8. 6. 2017
Identifier in the InSIS system: https://insis.vse.cz/zp/59426/podrobnosti

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