Main content

Generalized Additive Models for Dependent Frequency and Severity of Insurance Claims

Show full item record

Title: Generalized Additive Models for Dependent Frequency and Severity of Insurance Claims
Author: Tingting, Chen
Department: Department of Mathematics and Statistics
Program: Animal and Poultry Science
Advisor: Chen, Tingting
Abstract: This thesis examines the problem of accurately estimating the expected value and variance of the aggregate claims for each policyholder. Through an appropriate statistical model to estimate the pure premium, an insurer can find niche markets to operate competitively and profitably. To this end, the framework of generalized linear models (GLMs) for aggregate claims is extended to a structure of frequentist generalized additive models (GAMs) based on cubic penalized regression splines. The new structure could allow more flexible nonlinear and/or nonparametric trend terms for the marginal claim frequency and conditional claim severity models, as well as the Tweedie modelling. Then, this nonparametric approach is illustrated through simulation and applied to an automobile insurance dataset. The hypothesis tests' results, Akaike's Information Criterion (AIC) values and graphical diagnostics all show that the GAMs under both the independent and dependent settings give a better fit than the corresponding previously proposed parametric approach.
URI: http://hdl.handle.net/10214/14769
Date: 2018-12


Files in this item

Files Size Format View
Chen_Tingting_201901_Msc.pdf 6.576Mb PDF View/Open

This item appears in the following Collection(s)

Show full item record