Date of Award
2010
Degree Type
Thesis
Degree Name
Master of Science
Program
Applied Mathematics
Supervisor
Dr. Hristo Sendov
Abstract
The thesis is motivated by a problem concerning the monotonicity of insurance premiums with respect to their loading parameter: the larger the parameter, the larger the insurance premium is expected to be. This property, usually called loading monotonicity, is satisfied by premiums that appear in the literature. The increased interest in constructing new insurance premiums has raised a question as to what weight functions would produce loading-monotonic premiums. In this thesis we demonstrate a decisive role of log-supermodularity in answering this question. As a consequence, we establish - at a stroke - the loading monotonicity of a number of well- known insurance premiums and offer a host of further weight functions, and consequently of premiums, thus illustrating the power of the herein suggested methodology for constructing loading-monotonic insurance premiums.
Recommended Citation
Wang, Ying, "LOG-SUPERMODULARITY OF WEIGHT FUNCTIONS AND THE LOADING MONOTONICITY OF WEIGHTED INSURANCE PREMIUMS" (2010). Digitized Theses. 4268.
https://ir.lib.uwo.ca/digitizedtheses/4268