Probability Theory and Mathematical Statistics

Abstract

When experiments or observations are made, various outcomes are possible even under the same conditions. Probability theory and statistics deal with regularity of random outcomes of certain results with respect to given experiments or observations. (In probability theory and statistics, observations are also called experiments, since they have certain outcomes.) It is supposed, at least theoretically, that these experiments can be repeated arbitrarily many times under the same circumstances. Its application have these disciplines of mathematics in the statistic assessment of mass phenomena. The mathematical handling of random phenomena is also summarized in the notion stochastics.