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政大機構典藏 > 商學院 > 統計學系 > 期刊論文 > Item 140.119/135887

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/135887

Title:	Using Graduation to Modify the Estimation of Lee-Carter Model for Small Populations
Authors:	余清祥 Yue, Jack C. Wang, Hsin-Chung Wang, Tzu-Yu
Contributors:	統計系
Date:	2019-11
Issue Date:	2021-06-25 10:16:41 (UTC+8)
Abstract:	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.
Relation:	North American Actuarial Journal, Vol.25, pp.S410-S420
Data Type:	article
DOI 連結:	https://doi.org/10.1080/10920277.2019.1650288
DOI:	10.1080/10920277.2019.1650288
Appears in Collections:	[統計學系] 期刊論文

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