Extremal probabilities for Gaussian quadratic forms

By G'abor J. Sz'ekely, N. K. Bakirov. 2003

60 citations recorded by the source corpus.

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Energy statistics: A class of statistics based on distances (2013, methodology): “With this standardized statistic, one can apply the chi-squared test criterion in Székely–Bakirov [54].”
On Brownian Distance Covariance and High Dimensional Data (2009, unknown): “This result follows from a theorem of Székely and Bakirov [26], page 181.”
Uniform Inference in Autoregressive Models (2007, background): “The fact that the statistic RN is uniformly separated from zero (condition 4) follows from Theorem 2 in Székely and Bakirov (2003).”
Distribution-Free Consistent Independence Tests via Center-Outward Ranks and Signs (2019, methodology): “…and Bakirov (2007) proposed a nonparametric © 2020 American Statistical Association test based on distance correlation by applying a universal upper tail probability bound for all quadratic forms of centered Gaussian random variables that have their mean equal to one (Székely and Bakirov 2003).”