Number of cells containing a given number of particles in a generalized allocation scheme
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Yu Miao
,
Qing Yin
Abstract
In the present paper, we study a generalized allocation scheme and establish some asymptotic properties for the number of cells containing a given number of particles in the scheme, which include law of large numbers, central limit theorem, moderate deviation principle, and Hoeffding type inequality. These results generalize the work of Chuprunov and Fazekas [An analogue of a generalized allocation scheme: limit theorems for the number of cells of a given size, Discrete Math. Appl. 22(1) (2012), 101–122].
Acknowledgement
The authors are grateful to the referee for his/her valuable reports which improved the presentation of this work.
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(Communicated by Gejza Wimmer )
References
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© 2023 Mathematical Institute Slovak Academy of Sciences
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Articles in the same Issue
- RNDr. Stanislav Jakubec, DrSc. passed away
- Schur m-power convexity for general geometric Bonferroni mean of multiple parameters and comparison inequalities between several means
- Conditions forcing the existence of relative complements in lattices and posets
- Radically principal MV-algebras
- A topological duality for dcpos
- Padovan or Perrin numbers that are concatenations of two distinct base b repdigits
- Addendum to “A generalization of a result on the sum of element orders of a finite group”
- Remarks on w-distances and metric-preserving functions
- Solution of logarithmic coefficients conjectures for some classes of convex functions
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- Wg-Drazin-star operator and its dual
- On the Lupaş q-transform of unbounded functions
- K-contact and (k, μ)-contact metric as a generalized η-Ricci soliton
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