The Weighed Average Geodetic of Distributions of Probabilities in the Statistical Physics
V. V. Ryazanov *
Institute for Nuclear Research, Kiev, pr. Nauki, 47, Ukraine
*Author to whom correspondence should be addressed.
Abstract
The results obtained in [(1; 2)] for the statistical distributions at studying algebra of decision rules and natural geometry generated by it, are applied to estimations of the nonequilibrium statistical operator and superstatistics. The expressions for the nonequilibrium statistical operator and superstatistics are derived as special cases of the weighted geodetic average of the probability distributions.
Keywords: Weighted geodetic average of probability distributions, nonequilibrium statistical operator, superstatistics