### Kafri, O (2009)

#### The Distributions in Nature and Entropy Principle

CoRR, vol. abs/0907.4852.

**ISSN/ISBN:** Not available at this time.
**DOI:** Not available at this time.

**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.

**Bibtex:**

```
@article{,
title={The Distributions in Nature and Entropy Principle},
author={Oded Kafri},
journal={CoRR},
year={2009},
volume={abs/0907.4852}
}
```

**Reference Type:** Preprint

**Subject Area(s):** Physics, Probability Theory, Statistics