Dodson, CTJ (2008) On the entropy flows to disorder. In: The 2nd Chaotic Modeling and Simulation International Conference, 1-5 June 2009, Charnia, Crete. (In Press)
![[thumbnail of GammaEntropyFlows.pdf]](https://eprints.maths.manchester.ac.uk/style/images/fileicons/application_pdf.png) |
PDF
GammaEntropyFlows.pdf Download (4MB) |
Abstract
Gamma distributions, which contain the exponential as a special case, have a distinguished place in the representation of near-Poisson randomness for statistical processes; typically, they represent distributions of spacings between events or voids among objects. Here we look at the properties of the Shannon entropy function and calculate its corresponding flow curves, relating them to examples of constrained degeneration from ordered processes. We consider also univariate and bivariate gamma, as well as Weibull distributions since these include exponential distributions.
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Uncontrolled Keywords: | Shannon entropy, integral curves, gamma distribution, bivariate gamma, McKay distribution, Weibull distribution, randomness, information geometry. |
| Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 60 Probability theory and stochastic processes |
| Depositing User: | Prof CTJ Dodson |
| Date Deposited: | 25 May 2009 |
| Last Modified: | 20 Oct 2017 14:12 |
| URI: | https://eprints.maths.manchester.ac.uk/id/eprint/1271 |
Actions (login required)
 |
View Item |