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AVERAGE VALUES AND RULES OF LARGE NUMBERS IN THE SPACES OF ARBITRARY ORIGIN Средние величины и законы больших чисел в пространствах произвольной природы

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Author(s): Orlov A. I.

Journal: Polythematic Online Scientific Journal of Kuban State Agrarian University
ISSN 1990-4665

Issue: 89;
Start page: 556;
Date: 2013;
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Keywords: WEIGHTED MEANS | KEMENY DISTANCE | KEMENY MEDIAN | EMPIRICAL MEANS | THEORETICAL MEANS | LAWS OF LARGE NUMBERS

ABSTRACT
The new results of the sample average values in different spaces and rules of large numbers for them are given in the article. We also introduced the weighted average values of type I corresponding to the sample, and type II, corresponding to the set of order statistics. The evolution of ideas about the Kemeny distance and the Kemeny median is traced. The modified Kemeny median, convenient for computation and avoiding the effect of the "center of the bagel hole" is proposed. As a generalization of the Kemeny median, we introduced and studied the empirical and theoretical values in the spaces of arbitrary origin. For them, we proved the rules of large numbers
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