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International Journal of Neutrosophic Science
Volume 23 , Issue 2, PP: 296-307 , 2024 | Cite this article as | XML | Html |PDF

Title

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

  Tariq Saali 1 * ,   Mhamed Mesfioui 2 ,   Ani Shabri 3

1  Departement of Mathematics, Universiti Teknologi Malaysia Johor, Malaysia
    (saali@graduate.utm.my)

2  D´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, 15551, Al Ain, United Arab Emirates
    (mhamed.mesfioui@uqtr.ca;)

3  Departement of Mathematics, Universiti Teknologi Malaysia Johor, Malaysia
    (ani@utm.my)


Doi   :   https://doi.org/10.54216/IJNS.230224

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.

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[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.

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[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 as :
Style #
MLA Tariq Saali, Mhamed Mesfioui, Ani Shabri. "A novel multivariate copula of Raftery type with multiple dependence parameters and its neutrosophic application in finance." International Journal of Neutrosophic Science, Vol. 23, No. 2, 2024 ,PP. 296-307 (Doi   :  https://doi.org/10.54216/IJNS.230224)
APA Tariq Saali, Mhamed Mesfioui, Ani Shabri. (2024). A novel multivariate copula of Raftery type with multiple dependence parameters and its neutrosophic application in finance. Journal of International Journal of Neutrosophic Science, 23 ( 2 ), 296-307 (Doi   :  https://doi.org/10.54216/IJNS.230224)
Chicago Tariq Saali, Mhamed Mesfioui, Ani Shabri. "A novel multivariate copula of Raftery type with multiple dependence parameters and its neutrosophic application in finance." Journal of International Journal of Neutrosophic Science, 23 no. 2 (2024): 296-307 (Doi   :  https://doi.org/10.54216/IJNS.230224)
Harvard Tariq Saali, Mhamed Mesfioui, Ani Shabri. (2024). A novel multivariate copula of Raftery type with multiple dependence parameters and its neutrosophic application in finance. Journal of International Journal of Neutrosophic Science, 23 ( 2 ), 296-307 (Doi   :  https://doi.org/10.54216/IJNS.230224)
Vancouver Tariq Saali, Mhamed Mesfioui, Ani Shabri. A novel multivariate copula of Raftery type with multiple dependence parameters and its neutrosophic application in finance. Journal of International Journal of Neutrosophic Science, (2024); 23 ( 2 ): 296-307 (Doi   :  https://doi.org/10.54216/IJNS.230224)
IEEE Tariq Saali, Mhamed Mesfioui, Ani Shabri, A novel multivariate copula of Raftery type with multiple dependence parameters and its neutrosophic application in finance, Journal of International Journal of Neutrosophic Science, Vol. 23 , No. 2 , (2024) : 296-307 (Doi   :  https://doi.org/10.54216/IJNS.230224)