在R中计算Oja中位数:软件包OjaNP
Computing the Oja Median in R: The Package OjaNP
摘要:
Oja中位数是单变量中位数到多变量情况的几个扩展之一。它有许多很好的属性,但计算要求很高。在本文中,我们首先回顾了Oja中位数的属性,并将其与其他多元中位数进行比较。然后,我们讨论了四种计算Oja中值的算法,这些算法在我们的R包OjaNP中实现。除了这些算法之外,该软件包还包含计算Oja符号、Oja符号秩、Oja秩和相关分散概念的函数。为了说明它们的使用,相应的多元一个和$C$样本位置测试的实施。
英文摘要:
The Oja median is one of several extensions of the univariate median to the multivariate case. It has many nice properties, but is computationally demanding. In this paper, we first review the properties of the Oja median and compare it to other multivariate medians. Afterwards we discuss four algorithms to compute the Oja median, which are implemented in our R-package OjaNP. Besides these algorithms, the package contains also functions to compute Oja signs, Oja signed ranks, Oja ranks, and the related scatter concepts. To illustrate their use, the corresponding multivariate one- and $C$-sample location tests are implemented.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。