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Covariance as inner product



2019 Community Moderator ElectionExtrapolating GLM coefficients for year a product was sold into future years?Identity covariance matrix, decorrelated data?Handling covariance matrices of changing sizeNeural networks: which cost function to use?Advance Methods of Understanding Significance of Customer BehaviorsA statistic for testing if $mu$ which is known to be in subspace $H$, is also in subspace $H_0subseteq H$How do I convert an L2 norm to a probability?Fast way of computing covariance matrix of nonstationary kernel in Python










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$begingroup$


Why is covariance considered as inner product if there is no projection of one vector onto another?



Right now I perceive this as just a multiplication of $x$ segment of vector($x_i - barx$) and $y$ segment($y_i - bary$) of the same vector in order to understand direction of relationship.










share|improve this question











$endgroup$
















    3












    $begingroup$


    Why is covariance considered as inner product if there is no projection of one vector onto another?



    Right now I perceive this as just a multiplication of $x$ segment of vector($x_i - barx$) and $y$ segment($y_i - bary$) of the same vector in order to understand direction of relationship.










    share|improve this question











    $endgroup$














      3












      3








      3


      2



      $begingroup$


      Why is covariance considered as inner product if there is no projection of one vector onto another?



      Right now I perceive this as just a multiplication of $x$ segment of vector($x_i - barx$) and $y$ segment($y_i - bary$) of the same vector in order to understand direction of relationship.










      share|improve this question











      $endgroup$




      Why is covariance considered as inner product if there is no projection of one vector onto another?



      Right now I perceive this as just a multiplication of $x$ segment of vector($x_i - barx$) and $y$ segment($y_i - bary$) of the same vector in order to understand direction of relationship.







      statistics data-analysis






      share|improve this question















      share|improve this question













      share|improve this question




      share|improve this question








      edited 13 hours ago









      Stephen Rauch

      1,52551330




      1,52551330










      asked 13 hours ago









      user641597user641597

      233




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