Multivariate Nonparametric Methods with R

By Hannu Oja. 2010

145 citations recorded by the source corpus.

Subfields: Environmental Engineering, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/e066843030850bf2d48936a52751a2fc7bfbf64a

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In Environmental Engineering

In Statistics and Probability

Citations in the corpus

Multivariate Rank-Based Distribution-Free Nonparametric Testing Using Measure Transportation (2019, background): “…Rizzo, and Bakirov (2007), Berrett and Samworth (2019), Gretton, Fukumizu et al. (2008), Heller, Heller, and Gorfine (2013), Biswas, Sarkar, and Ghosh (2016), Gieser and Randles (1997), Taskinen, Oja, and Randles (2005), Oja (2010), and Friedman and Rafsky (1983) and the references therein.”
ECA: High-Dimensional Elliptical Component Analysis in Non-Gaussian Distributions (2013, background): “However, the following proposition, essentially coming fromMarden (1999) and Croux, Ollila, and Oja (2002) (also explicitly stated as Theorem 4.4 in Oja (2010)), states that the eigenspace of the multivariate Kendall’s tau statistic K is identical to the eigenspace of the covariance matrix .”
A cautionary note on robust covariance plug-in methods (2014, background): “A generalization of the spherical distributions and of the elliptical distributions can be constructed as follows (see Oja, 2010).”
Multivariate-Sign-Based High-Dimensional Tests for the Two-Sample Location Problem (2016, methodology): “In traditional fixed p circumstance, the following so-called “inner centering and inner standardization” sign-based procedure is usually used (Oja 2010, sec.”
Multivariate sign-based high-dimensional tests for sphericity (2014, methodology): “For example, the distributions in the so-called independent component model lie in the family given by (2); see Example 2.6 in Oja (2010) and references50 therein.”