Advances and Applications in Statistics

The Advances and Applications in Statistics is an internationally recognized journal indexed in the Emerging Sources Citation Index (ESCI). It provides a platform for original research papers and survey articles in all areas of statistics, both computational and experimental in nature.

Submit Article

A NEW GENERALIZED CUADRAS COPULA WITH AN APPLICATION

Authors

  • Rasha Ebaid
  • Abdalla Abdelghaly
  • Essam Ahmed
  • Walid Elbadawy

Keywords:

Cuadras copula, dependence, Fréchet distribution, economic data.

DOI:

https://doi.org/10.17654/0972361722070

Abstract

In this article, we propose a new generalization of the Cuadras  copula, which allows modeling a higher level of dependence structure between random variables. The new copula is used to fit a new bivariate Fréchet distribution for an Egyptian economic dataset. It is shown that our new copula outperformed some of the existing copulas.

Received: July 1, 2022 
Revised: August 9, 2022 
Accepted: August 18, 2022

References

A. Abdelghaly, E. Ahmed, R. Ebaid and W. Elbadawy, An extension of the Cuadras copula, Advances and Applications in Statistics 50(2) (2017), 97-106.

E. M. Almetwally and H. Z. Muhammed, On a bivariate Fréchet distribution, Journal of Statistics Applications and Probability 9(1) (2020), 71-91.

N. Balakrishnan and C. Lai, Continuous Bivariate Distributions, 2nd ed., New York, Springer, 2009.

C. Cuadras, Constructing copula functions with weighted geometric means, J. Statist. Plann. Inference 139 (2009), 3766-3772.

D. Drouet-Mari and S. Kotz, Correlation and Dependence, Imperial College Press, London, 2001.

R. Ebaid and W. Elbadawy, A new modification of the Cuadras copula, Advances and Applications in Statistics 50(5) (2017), 423-434.

E. A. El-Sherpieny, H. Z. Muhammed and E. M. Almetwally, FGM bivariate Weibull distribution, Proceedings of the Annual Conference in Statistics (53rd), Computer Science and Operations Research, Institute of Statistical Studies and Research, Cairo University, 2018, pp. 55-77.

T. Hutchinson and C. Lai, The Engineering Statistician’s Guide to Continuous Bivariate Distributions, Rumsby Scientific Publishing, Adelaide, 1991.

H. Joe, Multivariate Models and Dependence Concepts, London, Chapman and Hall, 1997.

H. Joe and J. J. Xu, The estimation method of inference functions for margins for multivariate models, Technical Report 166, Department of Statistics, University of British Columbia, 1996.

I. Klein and F. Christa, Families of copulas closed under the construction of generalized linear means, IWQW, 2011.

R. Nelsen, An Introduction to Copulas, 2nd ed., USA, Springer, 2006.

B. Schweizer and A. Sklar, Operations on distribution functions not derivable from operations on random variables, Studia Math. 52(1) (1974), 43-52. doi:10.4064/sm-52-1-43-52.

Published

24-09-2025

Issue

Section

Articles

How to Cite

A NEW GENERALIZED CUADRAS COPULA WITH AN APPLICATION. (2025). Advances and Applications in Statistics , 81, 1-12. https://doi.org/10.17654/0972361722070

Similar Articles

1-10 of 247

You may also start an advanced similarity search for this article.