Zależny, złożony proces Poissona – wyznaczanie składek ubezpieczeniowych
Dependent compound poisson Process – insurance premium determination
Author(s): Stanisław HeilpernSubject(s): Economy
Published by: Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu
Keywords: compound Poisson process; dependence; copula; insurance premium
Summary/Abstract: The paper is devoted to the dependent compound Poisson process. The de-pendence of the interclaim times and the neighbouring claim amount is allowed in this process. The dependent structure is described by the Spearman copula. The values of the basic insurance premiums based on the moments of discounted aggregated claim are determined. The values of two first moments and insurance premiums where the claims are exponentially and Pareto distributed are derived.
Journal: Śląski Przegląd Statystyczny
- Issue Year: 18/2014
- Issue No: 12
- Page Range: 195-208
- Page Count: 13