ELEMENTS OF STATISTICAL-METHODS IN HIGH-ENERGY PHYSICS ANALYSES

The present document intends to give examples of statistical treatemen t in physics analyses, we recall definition of very useful quantities such as acceptance, purity and efficiencies then we derive error calcu lations for these quantities for weighted or unweighted Monte Carlo as well as for data. We give also in this discussion a few basic ideas a nd theorems needed in the statistical treatement of random variables a nd we examplify the use of these theorems in the error computations fo r the different physical quantities we are studying here. The set of f ormulae 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 limi ts of a given analysis.