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NEUTROSOPHIC DISCRETE GEOMETRIC DISTRIBUTION
Keywords:
geometric distribution, case studies, neutrosophic logic, moments, order statistics, reliability analysisDOI:
https://doi.org/10.17654/0972361724046Abstract
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.
Received: January 24, 2024
Revised: April 18, 2024
Accepted: May 10, 2024
References
F. Smarandache et al., New challenges in neutrosophic theory and applications, Mathematics (2020), 1-350. https://digitalrepository.unm.edu/math_fsp/453.
L. A. Zadeh, Fuzzy logic - a personal perspective, Fuzzy Sets and Systems 281 (2015), 4-20.
K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20(1) (1986), 87-96.
M. Aslam et al., Monitoring mortality caused by Covid-19 using gamma-distributed variables based on generalized multiple dependent state sampling, Computational and Mathematical Methods in Medicine 2021 (2021), Article ID 6634887. https://doi.org/10.1155/2021/6634887.
R. A. K. Sherwani et al., Neutrosophic beta distribution with properties and applications, Neutrosophic Sets and Systems 41 (2021), 209-214.
F. Smarandache, Introduction to Neutrosophic Statistics, Sytech Publishing House, Craiava, 2014.
R. Alhabib et al., Some neutrosophic probability distributions, Neutrosophic Sets and Systems 22 (2018), 30-38.
K. F. H. Alhasan and F. Smarandache, Neutrosophic Weibull distribution and neutrosophic family Weibull distribution. Neutrosophic Sets and Systems 28(1) (2019), 191-199.
M. A. Aslam, Neutrosophic Rayleigh distribution with some basic properties and application, Neutrosophic Sets in Decision Analysis and Operations Research, IGI Global, 2020, pp. 119-128.
S. Patro and F. Smarandache, The neutrosophic statistical distribution, more problems, Neutrosophic Sets and Systems 12 (2016), 73-79.
M. Albassam, N. Khan and M. Aslam, Neutrosophic D’Agostino test of normality: an application to water data, Journal of Mathematics 2021 (2021), 1-15.
J. C. S. Moran, J. F. E. Chuga and W. M. Arias, Neutrosophic statistics applied to the analysis of socially responsible participation in the community, Neutrosophic Sets and Systems 26 (2019), 18-28.
R. A. K. Sherwani et al., Neutrosophic entropy measures for the normal distribution: theory and applications, Pakistan J. Statist. 37(3) (2021), 303-313.
F. Smarandache et al., Introduction to neutrosophy and neutrosophic environment, Neutrosophic Set in Medical Image Analysis, Academic Press, 2019, pp. 3-29.
M. B. Zeina and A. Hatip, Neutrosophic random variables, Neutrosophic Sets and Systems 39(1) (2021), 43-52.
B. Milosevic, M. D. Jimenez-Gamero and M. V. Alba-Fernandez, Quantifying the ratio-plot for the geometric distribution, J. Stat. Comput. Simul. 91(11) (2021), 2153-2173.
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