A Pathway from Bayesian Statistical Analysis to Superstatistics

Details A Pathway from Bayesian Statistical Analysis to Superstatistics A Pathway from Bayesian Statistical Analysis to Superstatistics

2010-11-25

arxiv.org/abs/1011.5658v1

Applied Mathematics and Computation 218(2011)799-804

Physics

Condensed Matter

Statistical Mechanics

9 pages, LaTeX

Scientific paper

Superstatistics and Tsallis statistics in statistical mechanics is given an interpretation in terms of Bayesian statistical analysis. Subsequently superstatistics is extended by replacing each component of the conditional and marginal densities by Mathai's pathway model and further both components are replaced by Mathai's pathway models. This produces a wide class of mathematically and statistically interesting functions for prospective applications in statistical physics. It is pointed out that the final integral is a particular case of a general class of integrals introduced by the authors earlier. Those integrals are also connected to Kraetzel integrals in applied analysis, inverse Gaussian densities in stochastic processes, reaction rate integrals in the theory of nuclear astrophysics and Tsallis statistics in nonextensive statistical mechanics. The final results are obtained in terms of Fox's H-function. Matrix variate analogue of one significant specific case is also pointed out.

Affiliated with

Also associated with

No associations

Rating

A Pathway from Bayesian Statistical Analysis to Superstatistics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Pathway from Bayesian Statistical Analysis to Superstatistics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Pathway from Bayesian Statistical Analysis to Superstatistics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-588276