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A test (typically of distribution, independence, or goodness of fit), for the family of distributions use [chi-squared-distribution].

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Transformation of multivariate normal sum of chi-squared

If $A$ is symmetric and $Y\sim\mathcal N(0,V)$, how can I show that $Y'AY\sim\sum_{i=1}^{t}(c_i * \chi^2(1))$ with 1 degree of freedom), where $c_i$ can be any scalar? I multiplied out the canonical …
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