Entropy based derivation of probability distributions: A case study to daily rainfall

Papalexiou, SM; Koutsoyiannis, D

dc.contributor.author	Papalexiou, SM	en
dc.contributor.author	Koutsoyiannis, D	en
dc.date.accessioned	2014-03-01T02:08:52Z
dc.date.available	2014-03-01T02:08:52Z
dc.date.issued	2012	en
dc.identifier.issn	03091708	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/29738
dc.subject	Burr distribution	en
dc.subject	Daily rainfall	en
dc.subject	Generalized Beta distribution	en
dc.subject	Generalized Gamma distribution	en
dc.subject	Maximum entropy	en
dc.subject.other	Burr distributions	en
dc.subject.other	Daily rainfall	en
dc.subject.other	Generalized beta distribution	en
dc.subject.other	Generalized gamma distribution	en
dc.subject.other	Maximum entropy	en
dc.subject.other	Rain	en
dc.subject.other	Probability distributions	en
dc.subject.other	empirical analysis	en
dc.subject.other	numerical model	en
dc.subject.other	optimization	en
dc.subject.other	precipitation assessment	en
dc.subject.other	precipitation intensity	en
dc.subject.other	probability	en
dc.subject.other	testing method	en
dc.title	Entropy based derivation of probability distributions: A case study to daily rainfall	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.advwatres.2011.11.007	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.advwatres.2011.11.007	en
heal.publicationDate	2012	en
heal.abstract	The principle of maximum entropy, along with empirical considerations, can provide consistent basis for constructing a consistent probability distribution model for highly varying geophysical processes. Here we examine the potential of using this principle with the Boltzmann-Gibbs-Shannon entropy definition in the probabilistic modeling of rainfall in different areas worldwide. We define and theoretically justify specific simple and general entropy maximization constraints which lead to two flexible distributions, i.e., the three-parameter Generalized Gamma (GG) and the four-parameter Generalized Beta of the second kind (GB2), with the former being a particular limiting case of the latter. We test the theoretical results in 11,519 daily rainfall records across the globe. The GB2 distribution seems to be able to describe all empirical records while two of its specific three-parameter cases, the GG and the Burr Type XII distributions perform very well by describing the 97.6% and 87.7% of the empirical records, respectively. © 2011 Elsevier Ltd.	en
heal.journalName	Advances in Water Resources	en
dc.identifier.doi	10.1016/j.advwatres.2011.11.007	en
dc.identifier.volume	45	en
dc.identifier.spage	51	en
dc.identifier.epage	57	en