✦ LIBER ✦
Unique additive information measures—Boltzmann–Gibbs–Shannon, Fisher and beyond
✍ Scribed by P. Ván
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 130 KB
- Volume
- 365
- Category
- Article
- ISSN
- 0378-4371
No coin nor oath required. For personal study only.
✦ Synopsis
It is proved that the only additive and isotropic information measure that can depend on the probability distribution and also on its first derivative is a linear combination of the Boltzmann-Gibbs-Shannon and Fisher information measures. Power-law equilibrium distributions are found as a result of the interaction of the two terms. The case of second order derivative dependence is investigated and a corresponding additive information measure is given.