Mortality rates smoothing using mixture function

Hudec, Samuel, 1988-

Mortality rates smoothing using mixture function / Samuel Hudec, Jana Špirková. -- The paper offers a description of the new method of a smoothing of the mortality rates using the so-called moving mixture functions. Mixture functions represent a special class of weighted averaging functions where weights are determined by continuous, input values dependent, weighting functions. If they are increasing, they form an important class of aggregation functions. Such mixture functions are more flexible than the standard weighted arithmetic mean, and their weighting functions allow one to penalize or reinforce inputs based on their magnitude. The advantages of this method are that the weights of the input values depend on ourselves and coefficients of weighting functions can be changed each year so that the mean square error is minimized. Moreover, the paper offers the impact of this method on the amount of whole life pension annuities.

In Communications in computer and information science : 17th international conference, IPMU 2018, Cádiz, Spain, June 11-15, 2018, proceedings, part I. -- Cham : Springer International Publishing, 2018. -- 806 p.. -- ISBN ISBN 978-3-319-91472-5. -- ISSN 1865-0929. -- Pp. 140-150