Journal of Mathematical Sciences

, Volume 189, Issue 6, pp 950–953 | Cite as

Decomposable Statistics and Random Placement of Particles over a Countable Set of Cells*

  • S. A. Maslenkov

In the paper, the scheme of independent particle allocation is considered. A connection is demonstrated between finite-dimensional distributions for the process of the number of particles assigned to the k-th cell and the conditional distribution of independent Poisson distributed random variables. Conditions are specified for the convergence of these distributions to finite-dimensional distributions of the Gaussian process. A certain scheme of dependent particle allocation on a countable set of cells is introduced and investigated.


Joint Distribution Gaussian Process Conditional Distribution Null Vector Distinguishable Particle 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Faculty of Mechanics and MathematicsLomonosov Moscow State UniversityMoscowRussia

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