重采样模糊数与统计应用:FuzzyResampling包

IF 2.3 4区 计算机科学 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS R Journal Pub Date : 2023-08-26 DOI:10.32614/rj-2023-036
Maciej Romaniuk, Przemysław Grzegorzewski
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引用次数: 0

摘要

经典的自举法已经在统计推断的许多领域证明了它的有用性。然而,这种方法的一些缺点也是众所周知的。因此,引入了各种自举修正和其他重采样算法,特别是对于实值数据。近年来,自举法在基于模糊数建模的不精确数据的统计推理中越来越受欢迎。面临的挑战之一是创建模糊数的自举样本,这些样本与初始模糊样本相似,但同时又在某些方面有所不同。这些方法在[FuzzyResampling](https://CRAN.R-project.org/package=FuzzyResampling)包中实现,并应用于不同的统计函数,如单样本或双样本均值检验。除了描述上述函数外,本文还提供了它们的一些应用实例以及经典自举与新重采样算法的数值比较。
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Resampling Fuzzy Numbers with Statistical Applications: FuzzyResampling Package
The classical bootstrap has proven its usefulness in many areas of statistical inference. However, some shortcomings of this method are also known. Therefore, various bootstrap modifications and other resampling algorithms have been introduced, especially for real-valued data. Recently, bootstrap methods have become popular in statistical reasoning based on imprecise data often modeled by fuzzy numbers. One of the challenges faced there is to create bootstrap samples of fuzzy numbers which are similar to initial fuzzy samples but different in some way at the same time. These methods are implemented in [FuzzyResampling](https://CRAN.R-project.org/package=FuzzyResampling) package and applied in different statistical functions like single-sample or two-sample tests for the mean. Besides describing the aforementioned functions, some examples of their applications as well as numerical comparisons of the classical bootstrap with the new resampling algorithms are provided in this contribution.
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来源期刊
R Journal
R Journal COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS-STATISTICS & PROBABILITY
CiteScore
2.70
自引率
0.00%
发文量
40
审稿时长
>12 weeks
期刊介绍: The R Journal is the open access, refereed journal of the R project for statistical computing. It features short to medium length articles covering topics that should be of interest to users or developers of R. The R Journal intends to reach a wide audience and have a thorough review process. Papers are expected to be reasonably short, clearly written, not too technical, and of course focused on R. Authors of refereed articles should take care to: - put their contribution in context, in particular discuss related R functions or packages; - explain the motivation for their contribution; - provide code examples that are reproducible.
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