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By the application of statistical methods, following the breaking down of cutting tools in the phase of real exploitation, it is possible to determine the theoretical distribution, which is best for the approximation of experimental data. In the course of this we meet mostly the following theoretical distribution: exponential, hyper‐exponential, normal, logarithmic normal, Weibull’s, Raleigh’s, gamma and Gumball’s or extreme (minimum or maximum) value of type I. Using the determined procedures it is possible to choose suitable theoretical distribution. Gives an algorithm and an example of the reliability of the ceramic cutting tools for turning of steel 20CrMo5, which in the best way approximates experimental data on the basis of comparative analysis.

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