On maximal quantity of particles of one color in analogs of multicolor urn schemes© 2017, Allerton Press, Inc.We deal with analogs of multicolor urn
schemes such that the number
On the probability of the event: In n generalized allocation schemes the volume of each cell does not exceed r of
allocating particles in cells. We study the probability of the event: for each generalized
allocation scheme Limit Theorems for Number of Particles from a Fixed Set of Cells in the first K cells in a non-homogeneous
allocation scheme of distinguishing
particles by different cells
The conditional maximum of Poisson random variables of the generalized
allocation scheme. It can be considered as a non homogeneous generalized
scheme of
allocations The conditional maximum of Poisson random variables of the generalized
allocation scheme. It can be considered as a non homogeneous generalized
scheme of
allocations Almost sure versions of limit theorems for random allocations with the random number of cells in the
scheme of
allocating distinguishable
particles into the partial complete set of cells and into the random
An inequality for moments and its applications to the generalized allocation scheme is applied to the generalized
allocation scheme. For the generalized
allocation scheme an exponential
On the Minimum Value of a Cell from a Pointed Set of Cells scheme of distinguishable
particles over different cells. We prove the convergence of the distribution
On the Maximal Value of a Cell from a Pointed Set of Cells variable that is a maximal value of a cell from the first K cells in the equidistributed
allocation scheme