Hattendorff Differential Equation for Multi-State Markov Insurance Models

Autor: Rajeev Rajaram, Nathan Ritchey
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Risks, Vol 9, Iss 9, p 169 (2021)
Druh dokumentu: article
ISSN: 2227-9091
DOI: 10.3390/risks9090169
Popis: We derive a Hattendorff differential equation and a recursion governing the evolution of continuous and discrete time evolution respectively of the variance of the loss at time t random variable given that the state at time t is j, for a multistate Markov insurance model (denoted by 2σt(j)). We also show using matrix notation that both models can be easily adapted for use in MATLAB for numerical computations.
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