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Bounds for extremal values of the mean number of cells containing a given number of particles

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Published/Copyright: May 16, 2007
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Discrete Mathematics and Applications
From the journal Volume 17 Issue 1

We consider extremal values of the mathematical expectation of the number of cells containing exactly r particles in the set of polynomial schemes of allocating n particles to N cells. We describe the properties of the distributions which supply the extremal values and obtain two-sided bounds for the extremal values.

Published Online: 2007-05-16
Published in Print: 2007-04-19

Copyright 2007, Walter de Gruyter

Articles in the same Issue

  1. A class of subcritical branching processes with immigration and infinite number of types of particles
  2. Bounds for extremal values of the mean number of cells containing a given number of particles
  3. Limit theorems for the number of solutions of a system of random linear equations belonging to a given set
  4. On the Stein–Tikhomirov method and its applications in nonclassical limit theorems
  5. Shifted products of independent random variables with values in finite groups
  6. Optimal management of two parallel stacks in two-level memory
  7. An upper bound for the number of product-free sets in a class of groups
  8. Mark sequences in multigraphs
  9. Classes of lexicographic equivalence in Euclidean combinatorial optimisation on arrangements
  10. Representations over Galois ring of a linear recurring sequence of maximal period over Galois field
https://doi.org/10.1515/DMA.2007.002

Articles in the same Issue

  1. A class of subcritical branching processes with immigration and infinite number of types of particles
  2. Bounds for extremal values of the mean number of cells containing a given number of particles
  3. Limit theorems for the number of solutions of a system of random linear equations belonging to a given set
  4. On the Stein–Tikhomirov method and its applications in nonclassical limit theorems
  5. Shifted products of independent random variables with values in finite groups
  6. Optimal management of two parallel stacks in two-level memory
  7. An upper bound for the number of product-free sets in a class of groups
  8. Mark sequences in multigraphs
  9. Classes of lexicographic equivalence in Euclidean combinatorial optimisation on arrangements
  10. Representations over Galois ring of a linear recurring sequence of maximal period over Galois field
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