Ruin probabilities as functions of the roots of a polynomial

A new formula for the ultimate ruin probability in the Cramér–Lundberg risk process is provided when the claims are assumed to follow a finite mixture of m Erlang distributions. Using the theory of recurrence sequences, the method proposed here shifts the problem of finding the ruin probability to t...

Full description

Bibliographic Details
Main Authors: David J. Santana, Luis Rincón
Format: Article
Language:English
Published: VTeX 2023-03-01
Series:Modern Stochastics: Theory and Applications
Subjects:
Online Access:https://www.vmsta.org/doi/10.15559/23-VMSTA226