NEUTROSOPHIC DISCRETE GEOMETRIC DISTRIBUTION

被引:0
|
作者
Sherwani, Rehan Ahmad Khan [1 ]
Iqbal, Sadia [1 ]
Abbas, Shumaila [1 ]
Saleem, Muhammad [2 ]
Aslam, Muhammad [3 ]
Smarandache, Florentin [4 ]
机构
[1] Univ Punjab, Coll Stat Sci, Lahore, Pakistan
[2] King Abdulaziz Univ, Fac Engn Rabigh, Dept Ind Engn, Jeddah 21589, Saudi Arabia
[3] King Abdulaziz Univ, Fac Sci, Dept Stat, Jeddah 21551, Saudi Arabia
[4] Univ New Mexico, Math Phys & Nat Sci Div, Gallup, NM USA
关键词
geometric distribution; case studies; neutrosophic logic; moments; order statistics; reliability analysis;
D O I
10.17654/0972361724046
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
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 w th, 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.
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页码:855 / 877
页数:23
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