Mathematical statistics

Mathematical statistics is the science of mathematical methods of systematizing and using statistical data for scientific and practical conclusions. In many of its sections, mathematical statistics are based on probability theory, which makes it possible to assess the reliability and accuracy of conclusions made on the basis of limited statistical material (e.g., estimate the required sample size to obtain the results of the required accuracy in a sample survey). Probability theory considers random variables with a given distribution or random experiments whose properties are entirely known. The subject of probability theory is the properties and relationships of these quantities (distributions).