An innovative statistical framework: A simulation study and practical implementations in the dance education, reliability engineering and radiation sector

IF 2.5 4区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES
Yi Fan Li , Xinran Xu , Diaa S. Metwally , M.M. Abd El-Raouf
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引用次数: 0

Abstract

This novel research effort aims to contribute to the literature on probabilistic-oriented methods for illustrating real-world events within different sectors. The new work is based on developing a new distribution family, referred to as the inverted sine Zubair-G (ISZ-G) family. The ISZ-G family is composed of merging the flexibility of the Zubair-G method with the inverse trigonometric-based method. To illustrate the ISZ-G in the practical scenarios, we consider the Weibull distribution as its special case, referred to as the inverted sine Zubair–Weibull (ISZ-Weibull) distribution. The mathematical computation of the quantile function of the ISZ-Weibull distribution is carried which are further utilized to compute other mathematical properties. The computation of the point estimators along with the simulation studies are presented. Besides the theoretical work, we also consider the practical implications of the ISZ-Weibull distribution within numerous applied fields such as dance education, reliability engineering and the radiation sector. This is done with the intention to prove the superiority of the ISZ-Weibull distribution over some existing distributions. Based on numerous statistical outlets, we observe that the ISZ-Weibull distribution is a more powerful outlet than certain rival tools available in the literature.
一个创新的统计框架:在舞蹈教育、可靠性工程和辐射领域的模拟研究和实践实施
这项新颖的研究工作旨在促进以概率为导向的方法来说明不同部门内的现实世界事件的文献。这项新工作是基于开发一个新的分布族,称为倒正弦Zubair-G (ISZ-G)族。ISZ-G系列是将Zubair-G方法的灵活性与基于反三角的方法相结合而成的。为了说明ISZ-G在实际场景中的情况,我们将威布尔分布作为其特例,称为倒正弦Zubair-Weibull (ISZ-Weibull)分布。本文对ISZ-Weibull分布的分位数函数进行了数学计算,并进一步应用于计算其他数学性质。给出了点估计量的计算和仿真研究。除了理论工作外,我们还考虑了ISZ-Weibull分布在舞蹈教育、可靠性工程和辐射领域等众多应用领域的实际意义。这样做的目的是为了证明ISZ-Weibull分布比一些现有分布的优越性。基于大量的统计出口,我们观察到ISZ-Weibull分布是一个比某些文献中可用的竞争工具更强大的出口。
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来源期刊
自引率
5.90%
发文量
130
审稿时长
16 weeks
期刊介绍: Journal of Radiation Research and Applied Sciences provides a high quality medium for the publication of substantial, original and scientific and technological papers on the development and applications of nuclear, radiation and isotopes in biology, medicine, drugs, biochemistry, microbiology, agriculture, entomology, food technology, chemistry, physics, solid states, engineering, environmental and applied sciences.
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