Two Old Statistical Methods in a New Stochastic Outfit

The so-called confidence interval for the first moment (expectation) of a random variable X based on the t-distribution and the confidence interval for the variance based on the χ 2-distribution are two very important statistical methods. They allow to determine the value μ of E[X] and the value σ 2 of V[X] for given confidence level β. These two statistical methods fit perfectly well into the stochastic approach and, therefore, they are used here to illustrate stochastic measurement procedures.