Bootstrep methods of evaluating the parameter of periodicity in the model of a compressed massif of mountain rocks

The paper obtained a statistically valid model characterizing the dependence of the periodicity parameter on the rock strength limit in the problem of the zone disintegration of rocks under the conditions of considering a small sample of data. By methods of bootstrap modelling, the type of the dependence of the periodicity parameter on the rock strength limit is determined in the mathematical model of the zone disintegration of rocks around deep underground excavations. Numerical modelling and comparative analysis of various types of the investigated dependence are carried out. The obtained results showed that the use of bootstrap methods for estimating various characteristics in the study of geomechanical phenomena and processes in rock massifs has a significant advantage over traditional approaches, allowing to achieve the necessary level of statistical significance, by increasing the number of bootstrap implementations and the bootstrap volume of the sample.