Energy distance is a statistical distance between the distributions of random vectors, which
characterizes equality of distributions. The name energy derives from Newton's gravitational …

Energy distance is a metric that measures the distance between the distributions of random
vectors. Energy distance is zero if and only if the distributions are identical, thus it …

We propose a new nonparametric test for equality of two or more multivariate distributions
based on Euclidean distance between sample elements. Several consistent tests for …

We propose a new class of rotation invariant and consistent goodness-of-fit tests for
multivariate distributions based on Euclidean distance between sample elements. The …

The energy of data is the value of a real function of distances between data in metric spaces.
The name energy derives from Newton's gravitational potential energy, which is also a …

Many quantitative measures of the degree of chirality or symmetry of a set have been
proposed in the literature. The main approaches from various areas are reviewed: chemistry …

Energy distance is a statistical distance between the distributions of random vectors, which
characterizes equality of distributions. The name energy derives from Newton's gravitational …

Denote by Q an arbitrary positive semidefinite quadratic form in centered Gaussian random
variables such that E (Q)= 1. We prove that for an arbitrary x> 0, inf QP (Q≤ x)= P (χ 2 n/n≤ …

We propose three new characterizations and corresponding distance-based weighted test
criteria for the two-sample problem, and for testing symmetry and independence with …

Aim: To simplify the recognition of Actinobacteria, at different stages of the growth phase,
from a mixed culture to facilitate the isolation of novel strains of these bacteria for drug …