How to prove that the expected value minimizes mean square error
69392
How can I prove mathematically that the mean of a distribution is the measure that minimizes the variance?
42861
Inverse of sum of exponential random variables (mean and variance)
129921
Finding the Best linear unbiased estimator of the mean using Lagrange Multiplier
26250
Robust mean estimation with O(1) update efficiency
63580
Convergence in distribution, probability, and 2nd mean
106316
Finding a bound on the maximum of the absolute value of normal random variables
46865
Proof of linearity for expectation given random variables are dependent
84530
Size of Mean Squared Error (MSE)
34797
$E|X-m|$ is minimised at $m$=median
90215
Proof/Derivation of Residual Sum of Squares (Based on Introduction to Statistical Learning)
101724
Expected minimum distance from a point with varying density
137103
Random Gaussian Variables
28006
The minimum of two independent geometric random variables
77938
How to prove that minimum of two exponential random variables is another exponential random variable?
39674
Rolle's Theorem and the Mean Value Theorem
7442
completing the square for Gaussian multivariate estimation
111915
Almost Sure Convergence and Bounded Expectation