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Abstract: Given a class of combinatorial structures C, we consider the quantity N(n; m), the number of multiset constructions P (of C) of size n having exactly m C-components. (Update)
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BibTeX entry: (Update)
@misc{ hwang-poisson,
author = "Hsien-Kuei Hwang",
title = "A Poisson * geometric convolution law for the number of components in unlabelled
combinatorial structures",
url = "citeseer.ist.psu.edu/article/hwang95poisson.html" }
Citations (may not include all citations):154 Combinatorial enumeration (context) - Goulden - 1983
151 Singularity analysis of generating functions (context) - Flajolet, Odlyzko - 1990
62 Univariate discrete distributions (context) - Johnson, Kotz et al. - 1992
48 Asymptotic methods in enumeration (context) - Bender - 1974
42 Random mapping statistics - Flajolet, Odlyzko - 1990
36 emes limites pour les structures combinatoires et les foncti.. (context) - Hwang, eor - 1994
22 Central and local limit theorems applied to asymptotic enume.. (context) - Gao, Richmond - 1992
21 Marking in combinatorial constructions: generating functions.. (context) - Drmota, Soria - 1995
19 Gaussian limiting distributions for the number of components.. (context) - Flajolet, Soria - 1990
18 Asymptotique automatique et fonctions generatrices (context) - Salvy - 1991
17 Note on a paper by L (context) - Selberg - 1954
14 Factorisatio numerorum (context) - Knopfmacher, Knopfmacher et al. - 1992
13 Optimization Software Inc (context) - Kolchin - 1986
12 Winston and Sons (context) - Kolchin, Sevast'yanov et al. - 1978
11 Asymptotic estimates of Stirling numbers (context) - Temme - 1993
11 Abstract analytic number theory (context) - Knopfmacher - 1975
11 Edited by Gian-Carlo Rota (context) - Andrews, of et al. - 1976
10 General combinatorial schemes: Gaussian limit distributions .. (context) - Flajolet, Soria - 1993
10 Sur le nombre de facteurs premiers des entiers (context) - Balazard, Delange et al. - 1988
9 Large deviations of combinatorial distributions I: central l.. - Hwang - 1994
8 Some general problems on the number of parts in partitions (context) - Richmond - 1994
7 A central limit theorem on GL n (context) - Goh, Schmutz - 1991
7 eorie analytique et probabiliste des nombres (context) - Tenenbaum, th - 1990
6 Estimates for partial sums of the exponential series (context) - Norton - 1978
6 the number of prime factors of an integer (context) - Hildebrand, Tenenbaum - 1988
5 Stirling numbers of the second kind (context) - Moser, Wyman - 1958
4 Comportement statistique du nombre de facteurs premiers des .. (context) - Balazard - 1990
4 Functionals of random mappings: exact and asymptotic results (context) - Donnelly, Ewens et al. - 1991
4 Asymptotic development of the Stirling numbers of the rst ki.. (context) - Moser, Wyman - 1958
3 Asymptotic expansions for the Stirling numbers of the rst ki.. (context) - Hwang - 1995
3 epartition des valeurs des fonctions arithmetiques I: le no.. (context) - Hwang - 1995
3 the method of saddle-points (context) - van der Waerden
3 Analytic arithmetic of algebraic function elds (context) - Knopfmacher - 1979
2 Advances in Applied Probability (context) - on, mappings et al. - 1992
1 Some asymptotic results on nite vector spaces (context) - Stong - 1988
1 epartition des valeurs de certaines fonctions arithmetiques.. (context) - Balazard - 1987
1 the distributions of the number of summands in integer parti.. (context) - Hwang
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