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An Algorithmic Approach to Discrete Time Non-homogeneous Backward Semi-Markov Reward Processes with an Application to Disability Insurance
Authors:Fredrik Stenberg  Raimondo Manca  Dmitrii Silvestrov
Affiliation:1.M?lardalen University,V?ster?s,Sweden;2.Università di Roma La Sapienza via del Castro Laurenziano, 9,Rome,Italy
Abstract:In this paper semi-Markov reward models are presented. Higher moments of the reward process is presented for the first time applied to in time non-homogeneous semi-Markov insurance problems. Also an example is presented based on real disability data. Different algorithmic approaches to solve the problem is described. This work is partly supported by the Knowledge Foundation and Sparbankens Stiftelse Nya. The authors would like to thank the anonymous referee.
Keywords:Semi-Markov process  Discrete time  Actuarial  Higher moments  Variance  Reward process  Skewness  Kurtosis
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