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Inspired by the comment from @NickCox I found this note on Wikipedia. We have that the n-1 term does correct for the variance but the non-linear aspect of the square root allows for only partial correction on the standard deviation. There is not a general way to get an unbiased estimate of the latter. https://en.wikipedia.org/wiki/Unbiased_estimation_of_standard_deviation

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Inspired by the comment from @NickCox I found this note on Wikipedia. We have that the n-1 term does correct for the variance but the non-linear aspect of the square root allows for only partial correction on the standard deviation. There is not a general way to get an unbiased estimate of the latter.

enter image description here

Inspired by the comment from @NickCox I found this note on Wikipedia. We have that the n-1 term does correct for the variance but the non-linear aspect of the square root allows for only partial correction on the standard deviation. There is not a general way to get an unbiased estimate of the latter. https://en.wikipedia.org/wiki/Unbiased_estimation_of_standard_deviation

enter image description here

Source Link

Inspired by the comment from @NickCox I found this note on Wikipedia. We have that the n-1 term does correct for the variance but the non-linear aspect of the square root allows for only partial correction on the standard deviation. There is not a general way to get an unbiased estimate of the latter.

enter image description here