Probability vector: Difference between revisions

Revision as of 22:20, 1 July 2010

Revision as of 17:11, 3 July 2010

Line 32:

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

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

: The mean of a probability vector (often referred to as a probability distribution) is <math> 1/n </math>.

: The shortest probability vector has the value <math> 1/n </math> as each component of the vector, and has a length of <math>1/\sqrt n</math>.

: The longest probability vector has the value 1 in a single component and 0 in all others, and has a length of 1.