Spojitý Markovovský model poistenia kritických ochorení ako základ pre diskrétny deterministický prístup

Authors

  • Zsolt Simonka Department of Mathematics and Actuarial Science https://orcid.org/0000-0002-4451-667X
  • Lea Škrovánková University of Economics in Bratislava
  • František Slaninka University of Economics in Bratislava

Keywords:

multistate models, Markov chains, probability of transition, Actuarial modeling, differential equations

Abstract

The paper begins by briefly describing the origin, development and main characteristics of the critical illness insurance product. We list the general characteristics of serious illness insurance and inform about the damage conditions of this product offered by insurance companies in Slovakia. Based on the general multi-state model, we point out its use in the construction of a model for critical illness insurance. The probabilistic framework is based on a four-state inhomogeneous and time-continuous Markov model, which can lead to a Semi-Markov model. We used the methodology proposed in Baiona and Levantesi to estimate transition intensity based on prevalence rates and replaced the continuous case with a discrete deterministic model.

Published

2023-06-28