Covariance Matrix Of a Random Vector

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Uploaded by on Oct 7, 2009

Definition and example of the covariance matrix of a random vector.

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Uploader Comments (npatwari)

  • Do you know how to use this function on MatLab?

    I'm trying to find the covariance of a vector, but it gives me a single number, not a matrix

  • @tritile You need many realizations of that vector in order to estimate the covariance matrix. So, however you measured or came up with that one vector, do it N times, and then send the cov() function all of the realizations of the random vector together (in a matrix). Then Matlab will return a covariance matrix.

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  • nice lectures professor, thanks for sharing with us.

  • You are GOD !!!

  • @armanrainy Thank you for the answer. I got what you told. Actually, my knowledge’s about statistics are not very good. But I solved the problem using another way. I realized that I didn’t need do find the covariance matrix in my case. But, anyway, thank you for the help!

  • @tritile

    Hi(sorry about my English). I think you didn't get the meaning of random variables. when we say X it means we have several matrices and it makes our data set. for example, X is a 3*1 matrix which means three different experiment results about 3 parameters( like density,temperature,pressure). When we say X it means we have done this experiment N times (so we have n 3*1 matrices) and we want to find the covariance matrix.your matlab result is caused by having just 1 observation.

  • @npatwari

    I'm sorry to bother you

    For example, I have the vector V=[ 2; 3; 5]

    so I'll make my matrix M=[2 3 5; 2 3 5; 2 3 5]

    and then cov(M)?

    I guess I dind't understand what you mean, because I tried this way and MatLab gave me one matrix filled by zeros

    I'd be glad if you help me

    thanks

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