IDENTIFICATION OF PATTERNS IN STATISTICAL DATAON THE PARAMETERS OF NATURAL EMERGENCIES

The article substantiates the relevance of processing statistical data on natural processes that lead to emergencies and negatively affect the environmental situation. Informationis provided on determining the consistency of samples of random variables of parameters of such processes according to known distribution laws using the Pearson and Kolmogorov criteria, as wellas the consistency of estimates and coefficients of variation, asymmetry and kurtosis of a sampleof random variables and the distribution law. It is shown that the β-distribution of the 1-st kind canbe accepted as a universal approximating law and analytical expressions can be derived to find its parameters. Using the examples of statistics on the average annual water consumption in the riverand the energy parameters of seismic events, analytical expressions are derived for the corresponding probability densities of β-distributions of the 1-st kind. The probabilities of the occurrence of negative events are estimated based on the thresholds of the average annual water consumption and the energy parameter of seismic events, respectively. The conclusion is made about the possibility of effective use of the β-distribution of the 1-st kind for the analysis of statistical data of a wide class of natural and man-made processes.

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Publication Details

Journal
Problems of risk management in the technosphere
Published
2025-10-21
DOI
https://doi.org/10.61260/1998-8990-2025-3-30-39
Primary Topic
Engineering and Agricultural Innovations
Type
article
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article

IDENTIFICATION OF PATTERNS IN STATISTICAL DATAON THE PARAMETERS OF NATURAL EMERGENCIES

Problems of risk management in the technosphere
Engineering and Agricultural Innovations
article

IDENTIFICATION OF PATTERNS IN STATISTICAL DATAON THE PARAMETERS OF NATURAL EMERGENCIES

article en

Abstract

The article substantiates the relevance of processing statistical data on natural processes that lead to emergencies and negatively affect the environmental situation. Informationis provided on determining the consistency of samples of random variables of parameters of such processes according to known distribution laws using the Pearson and Kolmogorov criteria, as wellas the consistency of estimates and coefficients of variation, asymmetry and kurtosis of a sampleof random variables and the distribution law. It is shown that the β-distribution of the 1-st kind canbe accepted as a universal approximating law and analytical expressions can be derived to find its parameters. Using the examples of statistics on the average annual water consumption in the riverand the energy parameters of seismic events, analytical expressions are derived for the corresponding probability densities of β-distributions of the 1-st kind. The probabilities of the occurrence of negative events are estimated based on the thresholds of the average annual water consumption and the energy parameter of seismic events, respectively. The conclusion is made about the possibility of effective use of the β-distribution of the 1-st kind for the analysis of statistical data of a wide class of natural and man-made processes.

Problems of risk management in the technosphereVol. 2025(3)
Institute of Transport Engineering (RU), Academy of the State Fire Service EMERCOM of Russia (RU)
Clean water and sanitation
Openalex Percentile: Top 39%
Engineering and Agricultural Innovations
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IDENTIFICATION OF PATTERNS IN STATISTICAL DATAON THE PARAMETERS OF NATURAL EMERGENCIES · Problems of risk management in the technosphere (2025) | TGRS Research Map | TGRS