Title page for ETD etd-11282005-123928

Document Type Master's Dissertation
Author Louw, Elizabeth Magrietha
URN etd-11282005-123928
Document Title Fitting of survival functions for grouped data on insurance policies
Degree PhD (Mathematical Statistics)
Department Mathematics and Applied Mathematics
Advisor Name Title
Prof N A S Crowther Committee Chair
  • insurance policies
  • survival analysis biometry
Date 2002-01-21
Availability unrestricted
The aim of the research is the statistical modelling of parametric survival distributions of grouped survival data of long- and shortterm policies in the insurance industry, by means of a method of maximum likelihood estimation subject to constraints.

This methodology leads to explicit expressions for the estimates of the parameters, as well as for approximated variances and covariances of the estimates, which gives exact maximum likelihood estimates of the parameters. This makes direct extension to more complex designs feasible.

The statistical modelling offers parametric models for survival distributions, in contrast with non-parametric models that are used commonly in the actuarial profession. When the parametric models provide a good fit to data, they tend to give more precise estimates of the quantities of interest such as odds ratios, hazard ratios or median lifetimes. These estimates form the statistical foundation for scientific decisionmaking with respect to actuarial design, maintenance and marketing of insurance policies. Although the methodology in this thesis is developed specifically for the insurance industry, it may be applied in the normal context of research and scientific decision making, that includes for example survival distributions for the medical, biological, engineering, econometric and sociological sciences.

2002, University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria.

Please cite as follows:

Louw, EM 2002, Fitting of survival functions for grouped data on insurance policies, PhD thesis, University of Pretoria, Pretoria, viewed yymmdd < http://upetd.up.ac.za/thesis/available/etd-11282005-123928/ >


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