Mathematics and Statistics Vol. 11(5), pp. 827 - 833
DOI: 10.13189/ms.2023.110509
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Neutrosophic Generalized Pareto Distribution

Nahed I. Eassa ^1,*, Hegazy M. Zaher ¹, Noura A. T. Abu El-Magd ^2
1 Faculty of Graduate Studies for Statistical Research, Cairo University, Egypt
² Faculty of Politics and Economics, Beni-Suef University, Egypt

ABSTRACT

The purpose of this paper is to present a neutrosophic form of the generalized Pareto distribution (NGPD) which is more flexible than the existing classical distribution and deals with indeterminate, incomplete and imprecise data in a flexible manner. In addition to this, NGPD will be obtained as a generalization of the neutrousophic Pareto distribution. Also, the paper introduces its special cases as neutrosophic Lomax distribution. The mathematical properties of the proposed distributions, such as mean, variance and moment generating function are derived. Additionally, the analysis of reliability properties, including survival and hazard rate functions, is mentioned. Furthermore, neutrosophic random variable for Pareto distribution was presented and recommended using it when data in the interval form follow a Pareto distribution and have some sort of indeterminacy. This research deals the statistical problems that have inaccurate and vague data. The proposed model NGPD is widely used in finance to model low probability events. So, it is applied to a real-world data set to modelling the public debt in Egypt for the purpose of dealing with neutrosophic scale and shape parameters, finally the conclusions are discussed.

KEYWORDS
Lomax Distribution, Neutrosophic Logic, Generalized Pareto Distributionwith Tow Parameters, Neutrosophic Pareto Distribution, Neutrosophic Exponential Distribution, Neutrosophic Uniform

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Nahed I. Eassa , Hegazy M. Zaher , Noura A. T. Abu El-Magd , "Neutrosophic Generalized Pareto Distribution," Mathematics and Statistics, Vol. 11, No. 5, pp. 827 - 833, 2023. DOI: 10.13189/ms.2023.110509.

(b). APA Format:
Nahed I. Eassa , Hegazy M. Zaher , Noura A. T. Abu El-Magd (2023). Neutrosophic Generalized Pareto Distribution. Mathematics and Statistics, 11(5), 827 - 833. DOI: 10.13189/ms.2023.110509.