کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
974110 1480137 2015 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
MaxEnt, second variation, and generalized statistics
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
MaxEnt, second variation, and generalized statistics
چکیده انگلیسی


• We revisit the idea of second variation of the entropic functional.
• We apply it to qq-statistics.
• We show that only for heavy-tail distributions the existence of a maximum of the entropy is guaranteed.

There are two kinds of Tsallis-probability distributions: heavy tail ones and compact support distributions. We show here, by appeal to functional analysis’ tools, that for lower bound Hamiltonians, the second variation’s analysis of the entropic functional guarantees that the heavy tail qq-distribution constitutes a maximum of Tsallis’ entropy. On the other hand, in the compact support instance, a case by case analysis is necessary in order to tackle the issue.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 436, 15 October 2015, Pages 572–581
نویسندگان
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