Neutrosophic Stable Random Variables

Authors

  • Azzam Mustafa Nouri Department of Mathematical Statistics, University of Aleppo, Aleppo, Syria
  • Omar Zeitouny Department of Mathematical Statistics, University of Aleppo, Aleppo, Syria
  • Sadeddin Alabdallah Department of Mathematical Statistics, University of Aleppo, Aleppo, Syria

Keywords:

Random Variables, Stable Distributions, Gaussian Distribution, Cauchy Distribution, Lévy Distribution

Abstract

In this paper, the concept of a neutrosophic stable random variable is introduced. Two definitions of a neutrosophic random variable are presented. We introduced both the neutrosophic probability distribution function and the neutrosophic probability density function, and the convolution with the neutrosophic concept. In addition, we proved some properties of a neutrosophic stable random variable, and three examples are discussed.

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Published

2022-06-01

Issue

Vol. 50 (2022): Neutrosophic Sets and Systems

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

 Creative Commons Attribution (CC BY) license.

How to Cite

Mustafa Nouri, A. ., Zeitouny, O., & Alabdallah, S. . (2022). Neutrosophic Stable Random Variables. Neutrosophic Sets and Systems, 50, 420-430. https://fs.unm.edu/nss8/index.php/111/article/view/2536