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m robot Adding: sl:Verjetnostni vektor |
TwerpySugar (talk | contribs) Started a list of properties, and hope i or someone else will add to it soon. |
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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 Probability Vectors===
: Probability vectors of dimension n are contained within an n dimensional unit [[hypersphere]].
: The shortest vector in the hypersphere has the value <math> 1/n </math> as each component in the vector.
: The longest vector in the set of possible vectors has the value 1 in a single component and 0 in all others.
: The shortest vector corresponds to maximum uncertainty, the longest to maximum certainty.
: No two vectors in the n dimensional hypersphere are collinear unless they are identical.
==See also==
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