Probability vector: Difference between revisions

Revision as of 20:08, 24 March 2011

Revision as of 04:48, 27 April 2011

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for all <math>i</math>. These two requirements show that stochastic vectors have a geometric interpretation: A stochastic vector is a point on the "far face" of a standard orthogonal [[simplex]]. That is, a stochastic vector uniquely identifies a point on the face opposite of the orthogonal corner of the standard simplex.

===Some Properties of <math>n</math> dimensional Probability Vectors===

: Probability vectors of dimension <math>n</math> are contained within an <math>n-1</math> dimensional unit [[hyperplane]].

: The mean of a probability vector is <math> 1/n </math>.