ASPG Menu
search

American Scientific Publishing Group

verified Journal

International Journal of Neutrosophic Science

ISSN
Online: 2690-6805 Print: 2692-6148
Frequency

Continuous publication

Publication Model

Open access · Articles freely available online · APC applies after acceptance

International Journal of Neutrosophic Science
Full Length Article

Volume 23Issue 2PP: 296-307 • 2024

A novel multivariate copula of Raftery type with multiple dependence parameters and its neutrosophic application in finance

Tariq Saali 1* ,
Mhamed Mesfioui ,
Ani Shabri 1
1Departement of Mathematics, Universiti Teknologi Malaysia Johor, Malaysia
2D´epartement de math´ematiques et d’informatique, Universit´e du Qu´ebec `a Trois-Rivi`eres, Trois-Rivi`eres (Qu´ebec), Canada, and Department of Statistics, United Arab Emirates University,
* Corresponding Author.
Received: July 25, 2023 Revised: September 29, 2023 Accepted: December 30, 2023

Abstract

This paper introduces an innovative multivariate exponential distribution, specifically of Raftery type, characterized by heterogeneous dependence parameters. Various properties of this distribution family are thoroughly investigated, with particular emphasis placed on the copula derived from this model. Notably, this copula is non-exchangeable and demonstrates multiple dependence parameters. Different properties associated with this novel copula, including the examination of estimation parameters, have been thoroughly investigated. The efficacy of the proposed copula is demonstrated through its successful application in modeling a real neutrosophic dataset associated with the New York and American Stock Exchanges.

Keywords

Raftery copula multivariate copula multiple dependence parameters mixed moment moment method neutrosophic theory neutrosophic sets .

References

[1] Basu, A. P. Multivariate exponential distributions and their applications in reliability. The Handbook of Statistics, 1988, 7, 467–477.

[2] Cherubini, U., Luciano, E., & Vecchiato, W. (2004). Copula methods in finance. John Wiley & Sons.

[3] Embrechts, P., McNeil, A. J., & Straumann, D. (2002). Correlation and dependence in risk management: properties and pitfalls. In Risk Management: Value at Risk and Beyond (pp. 176-223). Springer.

[4] Genest, C., Mesfioui, M., Schulz, J. A new bivariate Poisson common shock model covering all possible degrees of dependence. Stat. Probabil. Lett., 2018, 140, 202–209.

[5] Genest, C., R´emillard, B., Beaudoin, D. Goodness-of-fit tests for copulas: A review and a power study. Insurance: Mathematics and economics, 2009, 44.2, 199–213.

[6] Jamil, M., Abdullah, S., Yaqub Khan, M., Smarandache, F., Ghani, F. Application of the bipolar neutrosophic hamacher averaging aggregation operators to group decision making: An illustrative example. Symmetry 2019, 11, 698.

[7] Joe, H., Li, H., Nikoloulopoulos, A. K. Tail dependence functions and vine copulas. J. Multivariate Anal., 2010, 101 (1), 252-270.

[8] Johnson, N. L., Kotz, S., & Balakrishnan, N. (1997). Discrete multivariate distributions (Vol. 165). New York: Wiley.

[9] Marshall, A., Olkin, I. A multivariate exponential distribution. J. Am. Stat. Assoc, 1967, 62, 30–44.

[10] Nelsen, R. B. (2006). An introduction to copulas. Springer Science & Business Media.

[11] Patton, A. J. (2006). Modelling asymmetric exchange rate dependence. International Economic Review, 47(2), 527-556.

[12] Raftery, A. E. A continuous multivariate exponential distribution. Communications in Statistics-Theory and methods, 1984, 13(8), 947–965.

[13] Saali, T., Mesfioui, M., & Shabri, A. (2023). Multivariate extension of Raftery copula. Mathematics, 11(2), 414.

[14] Simonoff, J.S. and Tsai, C.-L. (1994) Use of modified profile likelihood for improved tests of constancy of variance in regression. Applied Statistics, 43, 353-370.

[15] Smarandache, F. Introduction To Neutrosophic Measure, Neutrosophic Integral, And Neutrosophic Probability; Sitech: Craiova, Romania, 2011

Cite This Article

Choose your preferred format

format_quote
Saali, Tariq, Mesfioui, Mhamed, Shabri, Ani. "A novel multivariate copula of Raftery type with multiple dependence parameters and its neutrosophic application in finance." International Journal of Neutrosophic Science, vol. Volume 23, no. Issue 2, 2024, pp. 296-307. DOI: https://doi.org/10.54216/IJNS.230224
Saali, T., Mesfioui, M., Shabri, A. (2024). A novel multivariate copula of Raftery type with multiple dependence parameters and its neutrosophic application in finance. International Journal of Neutrosophic Science, Volume 23(Issue 2), 296-307. DOI: https://doi.org/10.54216/IJNS.230224
Saali, Tariq, Mesfioui, Mhamed, Shabri, Ani. "A novel multivariate copula of Raftery type with multiple dependence parameters and its neutrosophic application in finance." International Journal of Neutrosophic Science Volume 23, no. Issue 2 (2024): 296-307. DOI: https://doi.org/10.54216/IJNS.230224
Saali, T., Mesfioui, M., Shabri, A. (2024) 'A novel multivariate copula of Raftery type with multiple dependence parameters and its neutrosophic application in finance', International Journal of Neutrosophic Science, Volume 23(Issue 2), pp. 296-307. DOI: https://doi.org/10.54216/IJNS.230224
Saali T, Mesfioui M, Shabri A. A novel multivariate copula of Raftery type with multiple dependence parameters and its neutrosophic application in finance. International Journal of Neutrosophic Science. 2024;Volume 23(Issue 2):296-307. DOI: https://doi.org/10.54216/IJNS.230224
T. Saali, M. Mesfioui, A. Shabri, "A novel multivariate copula of Raftery type with multiple dependence parameters and its neutrosophic application in finance," International Journal of Neutrosophic Science, vol. Volume 23, no. Issue 2, pp. 296-307, 2024. DOI: https://doi.org/10.54216/IJNS.230224
Digital Archive Ready