Sample Variance Is Unbiased. If the question seeks to find out the proof of sample variance being an unbiased estimator of population variance, then the answer is that there is no proof as . In this proof i use the .
If the xi have variance σ2, then.
If the question seeks to find out the proof of sample variance being an unbiased estimator of population variance, then the answer is that there is no proof . If x1,.,xn form a simple random sample with unknown finite mean µ, then ¯x is an unbiased estimator of µ. Since e¯s2=n−1nσ2, we can obtain an unbiased estimator of σ2 by multiplying ¯s2 by . The unbiased estimator's expected value is equal to the true value of the parameter being estimated.
