Arun K. Tangirala

Well-known results in statistics (perennially in progress)

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1. Sample mean is an unbiased estimator of population mean (pdf)

2. Variance of sample mean (for uncorrelated or IID observations) (pdf)

3. Mean of sample variance (for uncorrelated or IID observations) (pdf) 

4. Relationship between MSE, Bias and Variance of an estimator (pdf)