Hellinger's Distance and Correlation for a Subclass of Stable Distributions

investigated correlation retrieval procedure from Hellinger's distance. We found monotone relation of Hellinger's distance and positive correlation in a subclass of stable distributed random variables, with alpha > 1 and mu = beta = 0. We implemented a technique suitable for the class of stable distributions, and showed that this positive relation holds even for the case of Levy distribution, i.e., alpha = 1/2, beta = 1, and mu = 0.