gamma分布的综合工具箱:gamma包

IF 2.6 2区 工程技术 Q2 ENGINEERING, INDUSTRIAL Journal of Quality Technology Pub Date : 2022-04-04 DOI:10.1080/00224065.2022.2053794
Piao Chen, Kilian Buis, Xiujie Zhao
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引用次数: 3

摘要

摘要分布是概率论和统计学中最重要的参数模型之一。虽然大量的研究已经从理论上研究了文献中伽马分布的性质,但仍然严重缺乏定制的统计工具来促进其实际应用。为了填补这一空白,本文为伽马分布开发了一个全面的R包。具体来说,R包侧重于以下三个重要任务:生成gamma随机变量,估计模型参数,以及基于gamma随机变量构建统计限,包括置信限、预测限和容差限。建议的包包括文献中最先进的伽玛分布方法,并通过实际应用说明其用法。
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A comprehensive toolbox for the gamma distribution: The gammadist package
Abstract The gamma distribution is one of the most important parametric models in probability theory and statistics. Although a multitude of studies have theoretically investigated the properties of the gamma distribution in the literature, there is still a serious lack of tailored statistical tools to facilitate its practical applications. To fill the gap, this paper develops a comprehensive R package for the gamma distribution. In specific, the R package focuses on the following three important tasks: generate the gamma random variables, estimate the model parameters, and construct statistical limits, including confidence limits, prediction limits, and tolerance limits based on the gamma random variables. The proposed package encompasses the state-of-the-art methods of the gamma distribution in the literature and its usage is illustrated by a real application.
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来源期刊
Journal of Quality Technology
Journal of Quality Technology 管理科学-工程:工业
CiteScore
5.20
自引率
4.00%
发文量
23
审稿时长
>12 weeks
期刊介绍: The objective of Journal of Quality Technology is to contribute to the technical advancement of the field of quality technology by publishing papers that emphasize the practical applicability of new techniques, instructive examples of the operation of existing techniques and results of historical researches. Expository, review, and tutorial papers are also acceptable if they are written in a style suitable for practicing engineers. Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days
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