Checking the agreement of theoretical and empirical Pareto distributions for computer commands and microcommands using the Kolmogorov criterion

Abstract

The hypothesis about the agreement of theoretical and empirical Pareto distributions is tested in rela tion to cumulative curves - diagrams for instructions and microinstructions of an educational computer. The Kolmogorov criterion is used as a statistical criterion for agreement. The values of the parameters are obtained for the Pareto distribu tion functions that describe the probabilistic properties of random variables, which are the ordinal numbers of commands and microcommands implementing them. Constructed graphs of theoretical and practical distribution functions make it possible to exclude rarely used commands from the computer command system, which helps to simplify the architecture of computer processors. Certain theoretical principles and the obtained practical results are a further development of the statistical method of improving quality, i.e. Pareto analysis, in relation to quantitative assessment of metrics of machine commands and microcommands of a computer.