Power-law distributions and Fisher's information measure

Physica A: Statistical Mechanics and its Applications

Volumn 334, Issue 1-2, 2004, Pages 132-138

  Pennini, F ^a,b,c   Plastino, A ^a,b,c  

^a INSTITUTO DE FÍSICA LA PLATA   (Argentina)

^b UNIVERSIDAD NACIONAL DE LA PLATA   (Argentina)

^c Argentine Natl Res Cncl ^*  (Argentina)

Author keywords

Escort probabilities; Fisher information; Uncertainty relations

Indexed keywords

ERROR ANALYSIS; PROBABILITY; PROBABILITY DENSITY FUNCTION; STATISTICAL MECHANICS; STATISTICS;

ESCORT PROBABILITIES; FISHER INFORMATION; INCERTAINITIES RELATIONS;

THERMODYNAMICS;

EID: 0942299309     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2003.10.076     Document Type: Article

References (18)

1. Rosenfeld L. Caldirola P. Ergodic Theories. 1961;Academic Press, New York.
2. Mandelbrot B. Ann. Math. Stat. 33:1962;1021 Mandelbrot B. IRE Trans. Inform. Theory. IT-2:1956;190 Mandelbrot B. J. Math. Phys. 5:1964;164.
3. Mandelbrot B. Ann. Math. Stat. 33:1962;1021 Mandelbrot B. IRE Trans. Inform. Theory. IT-2:1956;190 Mandelbrot B. J. Math. Phys. 5:1964;164.
4. Mandelbrot B. Ann. Math. Stat. 33:1962;1021 Mandelbrot B. IRE Trans. Inform. Theory. IT-2:1956;190 Mandelbrot B. J. Math. Phys. 5:1964;164.
5. Pennini F., Plastino A., Plastino A.R., Casas M. Phys. Lett. A. 302:2002;156.
6. Uffink J., van Lith J. Found. Phys. 29:1999;655.
7. Frieden B.R. Physics from Fisher Information. 1998;Cambridge University Press, Cambridge, England.
8. Bohr N. Kalckar J. Collected Works. A. Pais, Niels Bohr's Times in Physics, Philosophy, and Polity. Vol. 6:1991;316-330 and 376-377 Clarendon Press, Oxford.
9. Gibbs J.W. Elementary Principles in Statistical Mechanics. 1903;Yale University Press, New Haven, CI.
10. Cramer H. Mathematical Methods of Statistics. 1946;Princeton University Press, Princeton, NJ.
11. Goldenfeld N. Lectures on Phase Transitions and the Renormalization Group. 1992;Addison-Wesley, New York.
12. Gell-Mann M., Tsallis C. Nonextensive Entropy - Interdisciplinary Applications. 2003;Oxford University Press, Oxford, Tsallis C. Braz. J. Phys. 29:1999;1. and references therein.
13. Gell-Mann M., Tsallis C. Nonextensive Entropy - Interdisciplinary Applications. 2003;Oxford University Press, Oxford, Tsallis C. Braz. J. Phys. 29:1999;1. and references therein.
14. Plastino A.R., Plastino A. Phys. Lett. A. 193:1994;251.
15. Beck C., Schlögl F. Thermodynamics of Chaotic Systems. 1993;Cambridge University Press, Cambridge, England.
16. Martínez S., Nicolás F., Pennini F., Plastino A. Physica A. 286:2000;489.
17. Pennini F., Plastino A.R., Plastino A. Physica A. 258:1998;446.
18. Reif F. Statistical and Thermal Physics. 1965;McGraw-Hill, New York.