Abstract:
This work emphasizes the special role played by max-semistable and log-max-semistable distributions as relevant statistical models of various observable and “internal” variables in Physics. Some of their remarkable properties (chiefly self-similarity) are displayed in some detail. One of their characteristic features is a log-periodic variation of the scale parameter which appears in the stable extreme value distributions.
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Received 29 November 1999 and Received in final form 24 March 2000
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Huillet, T., Porzio, A. & Ben Alaya, M. On the physical relevance of max- and log-max-selfsimilar distributions. Eur. Phys. J. B 17, 147–158 (2000). https://doi.org/10.1007/s100510070171
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DOI: https://doi.org/10.1007/s100510070171