Tag sample

The Distribution of a Linear Combination

\(\newcommand{\Cov}{\mathrm{Cov}}\) \(\newcommand{\Corr}{\mathrm{Corr}}\) Let \(X_{1}\dots X_{n}\) have means \(\mu_{i}\) and variances...

The Distribution of the Sample Mean and Sum

Let \(X_{1}\dots X_{n}\) be a random sample from a distribution with mean \(\mu\) and standard deviation \(\sigma\). Then:...

Statistics and Their Distributions

When we take a sample and calculate its mean and standard deviation, this is treated as a random variable for the population...