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A measure of the degree of association among a pair of variables.

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bias and variance of correlation estimator

I calculated the bias and variance of sample mean $\hat{\mu}$ and sample variance $\hat{\sigma}^2$ but I could not calculate the bias and variance for sample correlation $\hat{\rho}$. … Edit: by sample correlation I mean $$ \hat{\rho}_{xy} = \frac{\sum_{i} x_i y_i}{\sqrt{\sum_{i}x_i^2 \sum_{i}y_i^2}} $$ …
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