A multivariate nonparametric test of independence

By N. K. Bakirov, Maria L. Rizzo, G'abor J. Sz'ekely. 2006

48 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/81f916037ed3e8f8f12df60a246005c3f9493db8

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In Statistics and Probability

Citations in the corpus

An Updated Literature Review of Distance Correlation and Its Applications to Time Series (2017, unknown): “Furthermore, Bakirov et al. (2006) proposed a weight function ω ( , · ) different than (3).”
On Brownian Distance Covariance and High Dimensional Data (2009, unknown): “, Bakirov, Rizzo and Székely [2]), but only the weight functions (2.”
Multivariate Rank-Based Distribution-Free Nonparametric Testing Using Measure Transportation (2019, methodology): “significantly due to the seminal work by Szekely and co-authors (see [7, 142, 140]), where the notion of distance covariance was introduced; recall that in Section 3.”
Time-Varying Periodicity in Intraday Volatility (2019, methodology): “Applications of this approach for testing dependence between two variables can be found in, for example, Bakirov, Rizzo, and Székely (2006, 2007), Csörgö (1985), Fan et al. (2017), and Rizzo and Székely (2009).”
Multivariate nonparametric test of independence (2017, methodology): “In the influential paper [1], the distance correlation is introduced as a new dependence measure between two random vectors.”
Strongly consistent nonparametric tests of conditional independence (2012, background): “As further literature we mention Bakirov et al. (2006), Beran et al. (2007), Dauxois and Nkiet (1998), Fukumizu et al. (2007), Gieser and Randles (1997), Gretton et al. (2005), Kankainen (1995), Genest et al. (2007), Dette and Neumeyer (2000) with references.”
Distribution-Free Consistent Independence Tests via Center-Outward Ranks and Signs (2019, background): “However, Bakirov, Rizzo, and Székely (2006) noted that the methods based on marginal ranks do not enjoy distribution-freeness except in dimension one, which is also recorded in, for example, Theorem 2.3.2 in Lin (2017).”