A comprehensive toolbox for the gamma distribution: The gammadist package

Piao Chen, Kilian Buis, Xiujie Zhao*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

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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.

Original languageEnglish
Number of pages13
JournalJournal of Quality Technology
DOIs
Publication statusPublished - 2022

Keywords

  • confidence interval
  • estimation
  • prediction interval
  • sampling
  • tolerance interval

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