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Korcak´s Law : the interesting history of Natural duality of statistical distribution

Publication at Faculty of Science |
2010

Abstract

This note focuses on what has become known as Korčák’s law. First, an interesting history of findings expressed in Czech geographer Jaromír Korčák’s work on the Natural Duality of Statistical Distribution, which was later utilised by mathematicians Maurice Fréchet and Benoit Mandelbrot, is presented.

This is placed into a context of interdisciplinary interest in the empirical regularities of highly right-skewed statistical distributions that have often been modeled using power law functions. Some examples of so-called Korčák distribution of islands are then presented and calculation of Korčák exponent is explained, with brief reference made to its possible applications.

Keywords