You might also be interested to note that, in general, the sample variance and sample mean are correlated. Their covariance is $\mathbb {Cov} (\bar {X}_n, S_n^2) = \gamma \sigma^3/n$ and …

If, however, you have the entire (finite) population, and not a sample from it, such as the distribution of a six-sided die, then the population variance is the statistic to use, as you are …

Dec 28, 2014 · The purpose in computing the sample standard deviation is to estimate the amount of spread in the population from which the sample was drawn. Ideally, therefore, we …

Apr 3, 2015 · The sample variance is computed using deviations from the sample mean $\bar x$ instead of the population mean $\mu$, and this is the source of the bias. When the squared …

Sep 2, 2011 · Bessel's correction only gives an unbiased estimator for the variance of samples with replacement. The result of this sampling with replacement is that you get "more of the …

Feb 8, 2021 · Expectation of sample variance Ask Question Asked 4 years, 11 months ago Modified 1 year, 8 months ago

Oct 17, 2017 · Variance of Sample Variance Ask Question Asked 8 years, 2 months ago Modified 5 years, 10 months ago

Jul 20, 2021 · (Sheldon Ross) Proving the independence of sample mean and sample variance Ask Question Asked 4 years, 5 months ago Modified 7 months ago

Jun 14, 2019 · Why are there two formulas for the sample variance? Ask Question Asked 6 years, 6 months ago Modified 6 years, 6 months ago

Mar 14, 2020 · Distribution of sample variance of Bernoulli variables Ask Question Asked 5 years, 9 months ago Modified 2 years, 1 month ago