Please use this identifier to cite or link to this item:
https://ah.lib.nccu.edu.tw/handle/140.119/135887
題名: | Using Graduation to Modify the Estimation of Lee-Carter Model for Small Populations | 作者: | 余清祥 Yue, Jack C. Wang, Hsin-Chung Wang, Tzu-Yu |
貢獻者: | 統計系 | 日期: | Nov-2019 | 上傳時間: | 25-Jun-2021 | 摘要: | Many mortality models, such as the Lee–Carter model, have unsatisfactory estimation in the case of small populations. Increasing population size is a natural choice to stabilize the estimation, if we can find a larger reference population that has a mortality profile similar to that of the small population. Aggregating historical data of the small populations is a fine candidate for the reference population. However, it is often not feasible in practice and we need to rely on other reference populations. In this study, we explore whether graduation methods can be used if the mortality profile of a small population differs from that of the reference population. To explore the appropriate occasion to use graduation methods, we create several mortality scenarios and similarity types between small and reference populations. We propose combining the graduation methods and mortality models, either graduating mortality rates first or applying the mortality model first, and determine whether they can improve the model fit. We use computer simulation to determine whether the proposed approach has better mortality estimation than the Lee–Carter model and the the Li–Lee model. We found that the Li–Lee model always has smaller estimation errors than the Lee–Carter model, and the proposed approach has smaller estimation errors than the Li–Lee model in most cases. | 關聯: | North American Actuarial Journal, Vol.25, pp.S410-S420 | 資料類型: | article | DOI: | https://doi.org/10.1080/10920277.2019.1650288 |
Appears in Collections: | 期刊論文 |
Show full item record
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.