Large deviations of combinatorial distributions. II: Local limit theorems
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Publication:1296622
DOI10.1214/aoap/1027961038zbMath0954.60020OpenAlexW2017306457MaRDI QIDQ1296622
Publication date: 25 January 2001
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aoap/1027961038
Large deviations (60F10) Asymptotic enumeration (05A16) Arithmetic functions in probabilistic number theory (11K65)
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Cites Work
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- Gaussian limiting distributions for the number of components in combinatorial structures
- Mathematics for the Analysis of Algorithms.
- General combinatorial schemas: Gaussian limit distributions and exponential tails
- Sur les déviations modérées des sommes de variables aléatoires vectorielles indépendantes de même loi. (On moderate deviations of sums of independent and identically distributed vector valued random variables)
- Central and local limit theorems applied to asymptotic enumeration. IV: Multivariate generating functions
- Estimates for partial sums of the exponential series
- Central and local limit theorems for the coefficients of polynomials of binomial type
- On convergence rates in the central limit theorems for combinatorial structures
- A bivariate asymptotic expansion of coefficients of powers of generating functions
- The asymptotic behaviour of coefficients of powers of certain generating functions
- Asymptotic expansions for the Stirling numbers of the first kind
- Total variation asymptotics for Poisson process approximations for logarithmic combinatorial assemblies
- Large deviations for combinatorial distributions. I: Central limit theorems
- Large deviation local limit theorems for arbitrary sequences of random variables
- Central and local limit theorems applied to asymptotic enumeration
- On the integers having exactly \(k\) prime factors
- The number of trees
- Singularity Analysis of Generating Functions
- Local Limit Theorems for the Number of Components of Random Permutations and Mappings
- Order statistics for decomposable combinatorial structures