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Abstract: This paper is a sequel to our paper [17] where we derived a general central limit theorem for probabilities of large deviations applicable to many classes of combinatorial structures and arithmetic functions; we consider corresponding local limit theorems in this paper. More precisely, given a sequence of integral random variables n#1 each of maximal span 1 (see below for definition), we are interested in the asymptotic behavior of the probabilities n = m} (m N, m = n x n # n , n... (Update)
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BibTeX entry: (Update)
Hwang, H.-K. (1998a), `Large deviations of combinatorial distributions. II. Local limit theorems', Ann. Appl. Probab. 8(1), 163-181. http://citeseer.ist.psu.edu/hwang97large.html More
@misc{ hwang-large,
author = "H. Hwang",
title = "Large deviations of combinatorial distributions. II. Local limit theorems",
text = "Hwang, H.-K. (1998a), `Large deviations of combinatorial distributions.
II. Local limit theorems', Ann. Appl. Probab. 8(1), 163-181.",
url = "citeseer.ist.psu.edu/hwang97large.html" }
Citations (may not include all citations):151 Singularity analysis of generating functions (context) - Flajolet, Odlyzko - 1990
101 Central and local limit theorems applied to asymptotic enume.. (context) - Bender - 1973
85 Mathematics for the analysis of algorithms (context) - Greene, Knuth - 1990
42 Random mapping statistics - Flajolet, Odlyzko - 1990
25 Convergence rates in the central limit theorems for combinat.. - Hwang - 1996
23 Annals of Mathematics (context) - Otter, of - 1948
22 Central and local limit theorems applied to asymptotic enume.. (context) - Gao, Richmond - 1992
19 Gaussian limiting distributions for the number of components.. (context) - Flajolet, Soria - 1990
17 Note on a paper by L (context) - Selberg - 1954
16 A bivariate asymptotic expansion of coe#cients of powers of .. (context) - Drmota - 1994
13 Optimization Software Inc (context) - Kolchin, mappings - 1986
13 Theoremes limites pour les structures combinatoires et les f.. (context) - Hwang - 1994
12 revised and enlarged edition (context) - Comtet, combinatorics et al. - 1974
10 Order statistics for decomposable combinatorial structures (context) - Hansen - 1994
10 Introduction a la theorie analytique et probabiliste des nom.. (context) - Tenenbaum - 1990
9 Large deviations of combinatorial distributions I: central l.. - Hwang - 1996
7 Probabilistic methods in the theory of numbers (context) - Kubilius - 1964
6 Central and local limit theorems for the coe#cients of polyn.. (context) - Canfield - 1977
6 Estimates for partial sums of the exponential series (context) - Norton - 1978
4 Gaussian limit distributions and exponential tails (context) - Flajolet, Soria et al. - 1993
4 Sur les deviations moderees des sommes de variables aleatoir.. (context) - Ledoux - 1992
4 Oxford Science Publications (context) - Jensen, approximations - 1995
4 Total variation asymptotics for Poisson process approximatio.. (context) - Arratia, Stark et al. - 1995
3 The asymptotic behaviour of coe#cients of powers of certain .. (context) - Meir, Moon - 1990
2 the integers having exactly k prime factors (context) - Erdos - 1948
2 Local limit theorems for the number of components of random .. (context) - Pavlov - 1988
2 Asymptotic expansions for Stirling's number of the first kin.. (context) - Hwang - 1995
2 Local limit theorems for large deviations (context) - Richter - 1957
2 Cambridge Tracts in Mathematics and Mathematical Physics (context) - Cramer, variables et al. - 1970
2 Large deviation local limit theorems for arbitrary sequences.. (context) - Chaganty, Sethuraman - 1985
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