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

Szymański Andrzej and Rossa Agnieszka ()
Additional contact information
Szymański Andrzej: Institute of Statistics and Demography, University of Lodz, 41 Rewolucji 1905 St., 90-214, Lodz, Poland
Rossa Agnieszka: Institute of Statistics and Demography, University of Lodz, 41 Rewolucji 1905 St., 90-214, Lodz, Poland

Statistics in Transition New Series, 2021, vol. 22, issue 3, 31-57

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.

Keywords: exponential membership functions; Legendre’s polynomials; mortality modelling; orthonormal system. (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://doi.org/10.21307/stattrans-2021-026 (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:vrs:stintr:v:22:y:2021:i:3:p:31-57:n:11

DOI: 10.21307/stattrans-2021-026

Access Statistics for this article

Statistics in Transition New Series is currently edited by Włodzimierz Okrasa

More articles in Statistics in Transition New Series from Statistics Poland
Bibliographic data for series maintained by Peter Golla ().