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Scientific journal “Vestnik NSUEM”

2014 year, number 4

THE STATISTICAL GROUPING AND DETECTI ON OF SOME TYPES OF PROBABILITY DISTRIBUTION

V.G. Ionin
Novosibirsk State University of Economics and Management, Kamensky st., 56, Novosibirsk, Novosibirsk Region, 630099
Keywords: optimal grouping, cross-group dispersion, potential structure, structural images, function of the probability distribution

Abstract

The statistical grouping the results of primary observations, discussed in this article, suggests that the researcher has some idea about the number of typological or structural positions, layers. Conclusion on the number of types of images or structural layers to be based on the extent to which the total variance explained by the so-called tag levels variation of the Intergroup (interclass). A structural position, providing maximum cross-group variance is a «structural manner» of many observations. The degree of accuracy of the structural display is set to the number of structural positions. The concept of structural image of the investigated range of observations of this article is also applicable to pools, under the authority of the known strict laws of probability distributions. Describes the optimal division of statistical set of observations by the given number of classes, groups, depending on the type of probability distribution functions. Defines the sustainable optimal grouping for uniform, normal, exponential and log-normal distribution laws. The possibility of application of stable structures (structural images) as a potential function to determine the type of probability distributions to statistical aggregates with unknown law of distribution.