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Estimation of the parameters of the functions of the force of mortality in select-and-ultimate tables. (Chinese. English summary) Zbl 1199.91090

Summary: This paper presents a method to estimate the parameters of the functions of the force of mortality in select-and-ultimate tables based on the Gompertz model. First, the least squares method is used to pre-estimate these parameters, and then modified one-dimensional Whittaker graduation is applied to obtain the graduation parameters. However, in the traditional method, two-dimensional Whittaker graduation is performed first on the data of select-and-ultimate tables, and then the least squares method is applied to estimate the parameters of the functions of the force of mortality. In comparison with the traditional method, the presented method is simpler and has much less calculation, but the same good result is obtained. An example is given to illustrate the validity of the method.

MSC:

91B30 Risk theory, insurance (MSC2010)
62P05 Applications of statistics to actuarial sciences and financial mathematics
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