Central and local limit theorems for the coefficients of polynomials associated with the Laguerre ones

DOI10.1016/S0378-3758(01)00177-XzbMath0990.60016MaRDI QIDQ1347980

Andreas George Kyriakoussis, Malvina G. Vamvakari

Publication date: 15 May 2002

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

zbMATH Keywords

central and local limit theoremsLaguerre orthogonal polynomialsmatchings setspolynomials of complete bipartite graphs

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Combinatorial probability (60C05)

Related Items (3)

Asymptotic normality of the coefficients of polynomials associated with the Gegenbauer ones ⋮ A unified treatment for the asymptotic normality of the coefficients of polynomials related to orthogonal ones ⋮ Limit theorems for numbers satisfying a class of triangular arrays

Cites Work

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• Gaussian limiting distributions for the number of components in combinatorial structures
• General combinatorial schemas: Gaussian limit distributions and exponential tails
• A central limit theorem for numbers satisfying a class of triangular arrays
• Application of the Berry-Esseen inequality to combinatorial estimates
• Hermite polynomials and a duality relation for matchings polynomials
• An introduction to matching polynomials
• Central and local limit theorems for the coefficients of polynomials of binomial type
• Matching behaviour is asymptotically normal
• Theory of monomer-dimer systems
• Central and local limit theorems applied to asymptotic enumeration
• Gibbs' Measures on Combinatorial Objects and the Central Limit Theorem for an Exponential Family of Random Trees
• On the theory of the matching polynomial
• Asymptotic normality of a class of discrete power series distributions
• Stirling Behavior is Asymptotically Normal
• Concavity properties and a generating function for stirling numbers
• On Solutions of x^d = 1 In Symmetric Groups

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