Editing Dirichlet distribution (section)

===Support===
The [[support (mathematics)|support]] of the Dirichlet distribution is the set of {{mvar|K}}-dimensional vectors {{math|'''x'''}} whose entries are real numbers in the interval [0,1] such that <math>\|\boldsymbol x\|_1 = 1</math>, i.e. the sum of the coordinates is equal to 1.  These can be viewed as the probabilities of a {{mvar|K}}-way [[categorical distribution|categorical]] event. Another way to express this is that the domain of the Dirichlet distribution is itself a set of [[probability distribution]]s, specifically the set of {{mvar|K}}-dimensional [[discrete distribution]]s. The technical term for the set of points in the support of a {{mvar|K}}-dimensional Dirichlet distribution is the [[open set|open]] [[standard simplex|standard {{math|(''K'' − 1)}}-simplex]],<ref name=FKG>{{cite web |url=https://www.ee.washington.edu/techsite/papers/documents/UWEETR-2010-0006.pdf |title=Introduction to the Dirichlet Distribution and Related Processes |year=2010 |author1=Bela A. Frigyik |author2=Amol Kapila |author3=Maya R. Gupta |access-date= |format=Technical Report UWEETR-2010-006 |publisher=University of Washington Department of Electrical Engineering |archive-url=https://web.archive.org/web/20150219021331/https://www.ee.washington.edu/techsite/papers/documents/UWEETR-2010-0006.pdf |archive-date=2015-02-19 |url-status=dead }}</ref> which is a generalization of a [[triangle]], embedded in the next-higher dimension.  For example, with {{math|1=''K'' = 3}}, the support is an [[equilateral triangle]] embedded in a downward-angle fashion in three-dimensional space, with vertices at (1,0,0), (0,1,0) and (0,0,1), i.e. touching each of the coordinate axes at a point 1 unit away from the origin.