Correlation Angles and Inner Products: Application to a Problem from Physics | Zendy

Adam Towsley | Zendy; Jonathan Pakianathan | Zendy; D. H. Douglass | Zendy

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Correlation Angles and Inner Products: Application to a Problem from Physics

Author(s) -

Adam Towsley,

Jonathan Pakianathan,

D. H. Douglass

Publication year - 2011

Publication title -

isrn applied mathematics

Language(s) - English

Resource type - Journals

eISSN - 2090-5572

pISSN - 2090-5564

DOI - 10.5402/2011/323864

Subject(s) - covariance , correlation , space (punctuation) , inner product space , product (mathematics) , set (abstract data type) , covariance and correlation , vector space , statistical physics , mathematics , physics , computer science , multivariate random variable , mathematical analysis , random variable , geometry , statistics , sum of normally distributed random variables , programming language , operating system

Covariance is used as an inner product on a formal vector space built on random variables to define measures of correlation across a set of vectors in a -dimensional space. For =1, one has the diameter; for =2, one has an area. These concepts are directly applied to correlation studies in climate science.

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