Properties of Energy-Like Statistics Under Squared Euclidean Distance and Exponential Gamma Distributions

This study investigates distance-based statistical parameters and squared Euclidean distance for samples from exponential and gamma distributions. Statistical tests can be used as two-sample tests to determine the homogeneity between the distributions of two data sets, whether they are circular or linear. This study uses standard squared Euclidean distance linear data to calculate the properties of the proposed statistical tests, including one-dimensional and two-dimensional or higher assumptions.