Generalized Schur-constant bivariate distribution and its associated Archimedean copula

Document Type : Research Paper

Authors

1 Department of Statistics, Faculty of Mathematical Science Ferdowsi University of Mashhad

2 Department of Statistics, Faculty of Mathematical Science, Ferdowsi University of Mashhad

3 Yazd university

Abstract

This paper explores an extension of the bivariate Schur-constant model, introducing an additional parameter to its associated Archimedean copula for greater flexibility. We analyze the dependence properties of the proposed model and illustrate our findings with several examples. Furthermore, provide a likelihood ratio test to compare the performance of the extended Archimedean copula with that of the traditional Archimedean subfamily. Two real-data analysis are also included.

Keywords

References

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Iranian Journal of Fuzzy Systems
Volume 22, Issue 1
January and February 2025
Pages 169-183

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