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

Authors :
Andrzej Szymański
Agnieszka Rossa
Source :
Statistics in Transition, Vol 22, Iss 3 (2021)
Publication Year :
2021
Publisher :
Polish Statistical Association (via Exeley Inc.), 2021.

Abstract

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.

Details

ISSN :
24500291 and 12347655
Volume :
22
Issue :
3
Database :
OpenAIRE
Journal :
Statistics in Transition New Series
Accession number :
edsair.doi.dedup.....36827466d3e901501ee918d87d886b42