| | |
| | |
Stat |
Members: 3645 Articles: 2'506'133 Articles rated: 2609
26 April 2024 |
|
| | | |
|
Article overview
| |
|
q-generalization of symmetric alpha-stable distributions. Part I | Sabir Umarov
; Constantino Tsallis
; Murray Gell-Mann
; Stanly Steinberg
; | Date: |
1 Jun 2006 | Subject: | Statistical Mechanics | Abstract: | The classic and the L’evy-Gnedenko central limit theorems play a key role in theory of probabilities, and also in Boltzmann-Gibbs (BG) statistical mechanics. They both concern the paradigmatic case of probabilistic independence of the random variables that are being summed. A generalization of the BG theory, usually referred to as nonextensive statistical mechanics and characterized by the index $q$ ($q=1$ recovers the BG theory), introduces global correlations between the random variables, and recovers independence for $q=1$. The classic central limit theorem was recently $q$-generalized by some of us. In the present paper we $q$-generalize the L’evy-Gnedenko central limit theorem. | Source: | arXiv, cond-mat/0606038 | Services: | Forum | Review | PDF | Favorites |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
|
| |
|
|
|
| News, job offers and information for researchers and scientists:
| |