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Independence of the sum of two random variables

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#probability #independence #covariance
51
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If $\operatorname{Cov}(X_i,X_j) = ij$, find $\operatorname{Var}(X_1 + 2X_2 + 3X_3)$

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#probability #solution-verification #variance #covariance
279
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How do I know whether my Chi-square results are valid or not?

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#statistics #covariance #chi-squared
206
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Finding covariance matrix of sum of product of Gaussian random variables

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#probability-distributions #normal-distribution #covariance #moment-generating-functions
37
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Covariance matrix final form

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#random-variables #covariance
141
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Upper bound of the covariance matrix

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#probability #matrices #probability-theory #matrix-calculus #covariance
30
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Covariance of Normal after $\ell_2$-normalization

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#random-variables #covariance
577
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Joint normal distribution factorizes if covariance matrix is diagonal. Why?

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#matrices #probability-theory #normal-distribution #covariance #density-function
1.3k
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Can an inverse of a covariance matrix be computed faster that inverse of an arbitrary matrix?

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#linear-algebra #matrices #matrix-decomposition #covariance
57
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Can we conclude that $\bar{X}$ and $S^2$ are also uncorrelated? (Solution Verification)

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#probability #solution-verification #covariance
5.8k
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How to prove the ‘covariance inequality’ for discrete random variables?

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#probability #inequality #variance #covariance #cauchy-schwarz-inequality
52
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How can the diagonal covariance matrix be calculated?

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#linear-algebra #matrices #covariance
141
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Keep Covariance Matrix symmetric and positive definite while updating

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#linear-algebra #covariance #least-squares #positive-definite #recursive-algorithms
60
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$\operatorname{Cov}(\mathbf{x,y})+\operatorname{Cov}(\mathbf{y,x})=2\operatorname{Cov}(\mathbf{x,y})$

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#covariance
59
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How do I find the joint distribution function of these variables?

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#probability #probability-distributions #covariance

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