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Gaussian limiting distributions for the number of components in combinatorial structures

✍ Scribed by Philippe Flajolet; Michèle Soria


Book ID
103506792
Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
843 KB
Volume
53
Category
Article
ISSN
0097-3165

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📜 SIMILAR VOLUMES


Limiting Distributions for the Number of
✍ Ljuben Mutafchiev 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 428 KB

We investigate from probabilistic point of view the asymptotic behavior of the number of distinct component sizes in general classes of combinatorial structures of size n as n Ä . Mild restrictions of admissibility type are imposed on the corresponding generating functions and asymptotic expressions

On Convergence Rates in the Central Limi
✍ H.-K. Hwang 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 210 KB

Flajolet and Soria established several central limit theorems for the parameter 'number of components' in a wide class of combinatorial structures. In this paper, we shall prove a simple theorem which applies to characterize the convergence rates in their central limit theorems. This theorem is also