Divisible statistics is a term used in theoretical statistics to describe a variable that can be divided or partitioned into multiple subgroups. This concept is widely used in probability theory and statistical inference. Divisible statist

The monograph refers to the promising direction and is devoted to the systematic study of the divided statistics (RS) --- the amount of the functions of random arguments: arguments are assumed dependent in such a way that in some probabilistic space there are independent random values, the conditional distribution of which coincides with the joint distribution of random arguments provided that the fixation is provided Their amounts. This systematization contributes to the assumption that the values ​​of random arguments and functions from them belong to switching topological groups. Separate results related to the amounts of this kind have been known for a long time.
Over the past few decades, interest in RS has increased extremely, which was reflected in the appearance of hundreds of publications and monographs.
The main part of the results of the monograph belongs to the author and constitutes: the theorem of existence, the classification of RS, the weak convergence (with an increase in the number of terms) distributions of RS, including with continural alternatives, which is important for the tasks of mathematical statistics --- Consent and criteria and consent criteria and consent and criteria homogeneity, tasks with the Neumanno structure. Generalizations of divided statistics are given.
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