DERIVING OF MATHEMATICAL-AND-STATISTICAL REGULARITIES IN EXPERIMENTAL RESEARCHES OF MINING-AND-TECHNOLOGICAL PROCESSES

Abstract

The main statements of the methodology for derivation of mathematical-and-statistical regularities in experimental mining-technological processes based on their regression functional-factorial modeling are outlined. The formulation of the mathematical problem mapping in models of a regularly determined and random component is given. In this connection, the methodical methods of estimating the permissible determination of the model, the formation of its generalized form, as well as the calculations of the optimal coefficients and nonlinear functional parameters are described.
The models obtained after the optimization are checked statistically for the adequacy of the derived regularity and the random error of the fulfilled experiments. A practical example of modeling and of the interpretation of the revealed regularity and obtained new knowledge is given.