Elements of statistical methods in high-energy physics analyses

The present document intends to give examples of statistical treatement in physics analyses, we recall definition of very useful quantities such as acceptance, purity and efficiencies then we derive error calculations for these quantities for weighted or unweighted Monte Carlo as well as for data. We give also in this discussion a few basic ideas and theorems needed in the statistical treatement of random variables and we examplify the use of these theorems in the error computations for the different physical quantities we are studying here. The set of formulae we derive can find a direct application in the analyses of the proton structure functions and related subjects in the H1 experiment, these results are also well adapted to determine the statistical limits of a given analysis.