Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Numerical Solutions of the Hattendorff Differential Equation for Multi-state Markov Insurance Models

Version 1 : Received: 8 December 2021 / Approved: 10 December 2021 / Online: 10 December 2021 (12:29:58 CET)
Version 2 : Received: 27 December 2021 / Approved: 29 December 2021 / Online: 29 December 2021 (09:00:20 CET)

A peer-reviewed article of this Preprint also exists.

Ritchey, N.; Rajaram, R. Numerical Solutions of the Hattendorff Differential Equation for Multi-State Markov Insurance Models. AppliedMath 2022, 2, 118–130, doi:10.3390/appliedmath2010006. Ritchey, N.; Rajaram, R. Numerical Solutions of the Hattendorff Differential Equation for Multi-State Markov Insurance Models. AppliedMath 2022, 2, 118–130, doi:10.3390/appliedmath2010006.

Abstract

We provide methodology and numerical results for the Hattendorff differential equa- tion for the continuous time evolution of the variance of L(j)t , the loss at time t random variable for a multi-state process, given that the state at time t is j.

Keywords

Policy Value; Kolmogorov forward equations; Multi-state model; Thiele's differential equation; Hattendorff differential equation

Subject

Computer Science and Mathematics, Applied Mathematics

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