A comprehensive toolbox for the gamma distribution: The gammadist package. Issue 1 (1st January 2023)

• Record Type: Journal Article
• Authors: Chen, Piao; Buis, Kilian; Zhao, Xiujie
• Is Part Of: Journal of quality technology. Volume 55:Issue 1(2023)
• Page Start: 57
• Page End: 69
• Publication Date: 2023-01-01
• Subjects: confidence interval -- estimation -- prediction interval -- sampling -- tolerance interval; Quality control -- Periodicals; Qualité -- Contrôle -- Périodiques; Quality control; Quality control; Periodicals; 620.0045
• DOI: 10.1080/00224065.2022.2053794
• Languages: English
• ISSNs: 0022-4065

Abstract

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.