2015-№1(46) Article 14

B.S. Kiryakov

Pyramidal distribution and its properties. P. 150-165.

UDC 513

The article focuses on the properties of lattice point distribution in multilevel pyramids. The article traces the dependence of pyramidal distribution on statistic weight, which is characteristic of Bose-Einstein statistics. The properties of pyramidal distribution (the initial and central moments of distribution, the coefficient of asymmetry and the coefficient of excess) are recorded in a way that is universal for hypergeometric, negative hypergeometric, binomial, steady, and other types of distribution. The article maintains that pyramidal distribution can be used for the composition of distributions and real process modeling.

Lattice pyramid, point distribution, Bose-Einstein statistics, statistic weight, distribution, pyramidal, hypergeometric, negative hypergeometric, binomial, steady, initial moments, central moments, coefficient of asymmetry, coefficient of excess, universal way, composition of distributions, practical implementation

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