The complex approach to the estimation of errors in the problem of the numerical analysis the data of natural experiment

Abstract

The mathematical model of the data processing for the analysis of the probability characteristics of the measurement results is built. It takes into account the discreteness of measurements and calculations that takes place while use of digital techniques. The error of data processing result consists of four components: external disturbances, measuring device error, error of the numerical method processing and the accumulated rounding error caused by the restrictions of digit capacity in a computer. Characteristics of random processes and the estimations of their errors are obtained.