Branch Mathematics and Statistics Faculty and Staff Publications
Document Type
Article
Publication Date
2024
Abstract
Uncertainty, vagueness, and ambiguity surround us in many real-life problems and, therefore, always remain under consideration for researchers to quantify them. This study proposed neutrosophic discrete probability distribution as a generalization of classical or existing probability distributions, named neutrosophic geometric distribution. Case studies presented in the paper will help understand the concept and application of the proposed distribution. Several properties are derived, like the proposed distribution’s moment, characteristic, and probability-generating functions. Furthermore, the newly proposed distribution derives properties from the reliability analysis, such as survival function, hazard rate function, reversed hazard rate function, cumulative hazard rate function, mills ratio, and odds ratio. In addition, order statistics for NGD, including wth, the largest, and the smallest order statistics, are also derived from joint, median, minimum, and maximum order statistics. This examination opens the path for managing issues that follow traditional conveyances and simultaneously contain information that is not determined precisely.
Publication Title
Advances and Applications in Statistics
Volume
91
First Page
855
Last Page
877
Language (ISO)
English
Keywords
geometric distribution, case studies, neutrosophic logic, moments, order statistics, reliability analysis
Recommended Citation
Sherwani, Rehan Ahmad Khan; Sadia Iqbal; Shumaila Abbas; Muhammad Saleem; Muhammad Aslan; and Florentin Smarandache.
"Neutrosophic Discrete Geometric Distribution."
Advances and Applications in Statistics
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
