Generalized algebra within a nonextensive statistics

By L. Nivanen, A. Méhauté, Q. A. Wang. 2003

226 citations recorded by the source corpus.

Abstract By considering generalized logarithm and exponential functions used in nonextensive statistics, the four usual algebraic operators: addition, subtraction, product and division, are generalized. The properties of the generalized operators are investigated. Some standard properties are preserved, e.g. associativity, commutativity and existence of neutral elements. On the contrary, the distributivity law and the opposite element are no more universal within the generalized algebra.

Subfields: Economics and Econometrics, Statistical and Nonlinear Physics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/78b97de5e89c54c8e2cb88ba4419b347a0c6884f

How researchers see this paper

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In Economics and Econometrics

1. Constantino Tsallis
2. Arak M. Mathai
3. Hans J. Haubold

In Statistical and Nonlinear Physics

1. Constantino Tsallis
2. L. Jost
3. George Livadiotis
4. David John McComas
5. Hans J. Haubold
6. Arak M. Mathai

In Statistics and Probability

1. Constantino Tsallis

Citations in the corpus

• Nonadditive entropy and nonextensive statistical mechanics - An overview after 20 years (2009, background): “It is sometimes introduced through the q-product [48, 49]”