Multivariate Nonparametric Tests

By Hannu Oja, Ronald H. Randles. 2004

154 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/98d9a38138424f6f258e110da0589984d377bd93

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In Statistics and Probability

Citations in the corpus

Robust multivariate nonparametric tests via projection averaging (2018, methodology): “Although there has been much effort to extend univariate sign- or rank-based statistics in a multivariate space (see e.g. Hettmansperger et al., 1998; Oja and Randles, 2004; Liu, 2006; Oja, 2010), they are either computationally expensive to implement or less intuitive to understand.”
Multivariate Rank-Based Distribution-Free Nonparametric Testing Using Measure Transportation (2019, unknown): “[110] Oja, H.”
Nonparametric multivariate rank tests and their unbiasedness (2012, background): “In this context, we should mention the papers by Chaudhuri and Sengupta [5], Choi and Marden [6, 7], Hallin and Pandaveine [13], Hetmansperger et al. [17], Liu [21, 23], Liu and Singh [24], Oja and Randles [31], Oja et al. [30], Puri and Sen [33], Randles and Peters [34], Topchii et al. [40], Tukey ”
Distribution and quantile functions, ranks and signs in dimension d: A measure transportation approach (2021, background): “This class of multivariate ranks (Möttönen and Oja 1995; Möttönen et al. 1997; Chaudhuri 1996; Koltchinskii 1997; Oja and Randles 2004, Oja 2010, and many others) includes several very ingenious, elegant, and appealing concepts.”
ECA: High-Dimensional Elliptical Component Analysis in Non-Gaussian Distributions (2013, methodology): “arden, 1999; Croux et al., 2002; Jackson and Chen, 2004). Some related methods using multivariate rank-based statistics have also been discussed in Tyler (1982), Tyler (1987), Taskinen et al. (2003), Oja and Randles (2004), Oja and Paindaveine (2005), Oja et al. (2006), and Sirkia et al. (2007). The”
Nonparametric methods for unbalanced multivariate data and many factor levels (2008, unknown): “Nonparametric affine invariant sign and signed rank tests for the multi-sample location problem have been considered in the work of Oja and colleagues [20] [21] [22].”