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In linear regression an unbiased estimator of the error ($\epsilon$) variance is given by:

$$MS = \dfrac{1}{n-p-1}\sum_{i=1}^{n}\left(y_{i}-\hat{y}_{i}\right)^{2}$$

which is the sum of squares of the residuals divided by the sample size minus the number of predictors minus 1.

My question is what is an unbiased estimator of the error ($\epsilon$) third central moment and the error ($\epsilon$) fourth central moment?

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