Abstract
Abstract. The derivation of the maximum entropy distribution of particles in boxes yields two kinds of distributions: a bell-like distribution and a long-tail distribution. The first one is obtained when the ratio between particles and boxes is low, and the second one - when the ratio is high. The obtained long tail distribution yields correctly the empirical Zipf law, Pareto's 20:80 rule and Benford's law. Therefore, it is concluded that the long tail and the bell-like distributions are outcomes of the tendency of statistical systems to maximize entropy. Keywords. Maximum Entropy, Long tail distribution, 20:80 Pareto's rule, Zipf Law, Benford's law, Bell-like distribution. JEL. C62 .
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