Statistical testing of hypotheses about the form of the factor law of influence by the Kolmogorov criterion

Author:

Tumanov A,Sabanaev A,Solovyov A,Tumanov V

Abstract

Abstract When affected by the impact of emergency sources on the same type of elementary objects, the depth of the introduction of shrapnel into the barrier changes randomly. It is necessary to determine the law of distribution of random depth of inserting fragments into the barrier. In the course of the work, hypotheses about three distribution laws were tested. Based on the results of experimental studies, it is proposed to assess the suitability of the law of distribution, the statistics of which, according to the Kolmogorov criterion, is intended to check the alignment of empirical distribution with this continuous theoretical distribution. With a small number of tests on the criterion Kolmogorov confirmed the consent of even clearly incompatible samples. However, with a large number of observations (more than 50) the Kolmogorov Criterion is able to detect any deviation from the hypothesis.

Publisher

IOP Publishing

Subject

General Physics and Astronomy

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