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A Poisson * geometric convolution law for the number of components in unlabelled combinatorial structures (1995)  (Make Corrections)  
Hsien-Kuei Hwang



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Abstract: Given a class of combinatorial structures we consider the quantity N(n, m), the number of multiset constructions (of C) 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/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
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   Some asymptotic results on finite vector spaces (context) - Stong - 1988
17   Note on a paper by L (context) - Selberg - 1954
14   Factorisatio numerorum (context) - Knopfmacher, Knopfmacher et al. - 1992
13   Theoremes limites pour les structures combinatoires et les f.. (context) - Hwang - 1994
13   Optimization Software Inc (context) - Kolchin - 1986
12   Winston and Sons (context) - Kolchin, Sevast'yanov et al. - 1978
11   Analytic arithmetic of algebraic function fields (context) - Knopfmacher - 1979
11   Edited by Gian-Carlo Rota (context) - Andrews, of et al. - 1976
11   Abstract analytic number theory (context) - Knopfmacher - 1975
11   Asymptotic estimates of Stirling numbers (context) - Temme - 1993
10   Introduction a la theorie analytique et probabiliste des nom.. (context) - Tenenbaum - 1990
10   Sur le nombre de facteurs premiers des entiers (context) - Balazard, Delange et al. - 1988
10   General combinatorial schemes: Gaussian limit distributions .. (context) - Flajolet, Soria - 1993
9   Large deviations of combinatorial distributions I: central l.. - Hwang - 1996
8   Sur la repartition des valeurs des fonctions arithmetiques I.. (context) - Hwang
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   Asymptotic development of the Stirling numbers of the first .. (context) - Moser, Wyman - 1958
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   Distribution of integer partitions with a large number of su.. - Hwang
5   Stirling numbers of the second kind (context) - Moser, Wyman - 1958
4   Functionals of random mappings: exact and asymptotic results (context) - Donnelly, Ewens et al. - 1991
4   Asymptotic expansions for the Stirling numbers of the first .. - Hwang - 1995
4   Comportement statistique du nombre de facteurs premiers des .. (context) - Balazard - 1987
3   Sur la repartition des valeurs de certaines fonctions arithm.. (context) - Balazard - 1987
2   Advances in Applied Probability (context) - on, mappings et al. - 1992
1   33--45 (context) - van der Waerden, method et al. - 1951

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