39 research outputs found
The conditional maximum of Poisson random variables
Get PDF© 2017 Taylor & Francis Group, LLC The conditional maxima of independent Poisson random variables are studied. A triangular array of row-wise independent Poisson random variables is considered. If condition is given for the row-wise sums, then the limiting distribution of the row-wise maxima is concentrated onto two points. The result is in accordance with the classical result of Anderson. The case of general power series distributions is also covered. The model studied in Theorems 2.1 and 2.2 is an analogue of the generalized allocation scheme. It can be considered as a non homogeneous generalized scheme of allocations of at most n balls into N boxes. Then the maximal value of the contents of the boxes is studied
On the convergence in the law of sums and maxima of independent random variables with random parameters
No full textAlmost Sure Versions of Limit Theorems for Random Sums of Multiindex Random Variables
No full textIn the case of the domain of attraction of a p-stable law almost sure versions
of limit theorems for random vectors are presented
The translational and inversion pseudosymmetry of the atomic crystal structures of organic and organometallic compounds
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Simulation of the spatial structure of x-ray beams under conditions of the correction of the heat flow incident on a crystal
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