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Modeling multistate health transitions with a most-recent-event Hawkes process

Jung, Jiwon
Modeling multistate health transitions with a most-recent-event Hawkes process / Jiwon Jung, Kiseop Lee and Mengyi Xu
Sumario: The paper develops a multistate health transition model based on a most-recent-event Hawkes process to capture the effect of past disability and duration dependence on future health transitions. Unlike traditional Markov or Hawkes models, the proposed approach focuses on the most recent transition, preserving semi-Markov tractability while incorporating self-exciting effects. The model is estimated using a Monte Carlo EM algorithm to address incomplete prestudy information. Results show significant impacts of disability history on transition intensities, improved goodness of fit, and important implications for life expectancy estimation and insurance pricing, particularly for long-term care insurance and life annuities
En: North American actuarial journal. - Schaumburg : Society of Actuaries, 1997- = ISSN 1092-0277. - 16/03/2026 Tomo 30 Número 1 - 2026 , 23 p.
1. Cálculo actuarial . 2. Discapacidad . 3. Modelos Semi-Markov . 4. Esperanza de vida . 5. Longevidad . I. Lee, Kiseop . II. Xu, Mengyi . III. Title.