Stability of families of probability distributions under reduction of the number of degrees of freedom

Christophe Vignat and Jan Naudts

Physica A: Statistical Mechanics and its Applications, 2005, vol. 350, issue 2, 296-302

Abstract: We consider two classes of probability distributions for configurations of the ideal gas. They depend only on kinetic energy and they remain of the same form when degrees of freedom are integrated out. The relation with equilibrium distributions of Tsallis’ thermostatistics is discussed.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:350:y:2005:i:2:p:296-302

DOI: 10.1016/j.physa.2004.10.031

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