The Complex-Number Mortality Model (CNMM) based on orthonormal expansion of membership functions

• Authors: Andrzej Szymański , Agnieszka Rossa

Abstracts

EN

The paper deals with a new fuzzy version of the Lee-Carter (LC) mortality model, in which mortality rates as well as parameters of the LC model are treated as triangular fuzzy numbers. As a starting point, the fuzzy Koissi-Shapiro (KS) approach is recalled. Based on this approach, a new fuzzy mortality model - CNMM - is formulated using orthonormal expansions of the inverse exponential membership functions of the model components. The paper includes numerical findings based on a case study with the use of the new mortality model compared to the results obtained with the standard LC model.

Keywords

EN

exponential membership functions; Legendre’s polynomials; mortality modelling; orthonormal system

• Publisher: Główny Urząd Statystyczny
• Journal: Statistics in Transition new series
• Year: 2021
• Volume: 22
• Issue: 3
• Pages: 31-57

Contributors

author

Andrzej Szymański

• Institute of Statistics and Demography, University of Lodz, Lodz, Poland

author

Agnieszka Rossa

• Institute of Statistics and Demography, University of Lodz, Lodz, Poland

• https://orcid.org/0000000204444181

Identifiers

DOI

10.21307/stattrans-2021-026

Biblioteka Nauki

1827532