Asymptotic expansions of the mergesort recurrences

Hsien-Kuei Hwang. Asymptotic expansions of the mergesort recurrences. Acta Informatica, 35:11 (1998), 911-919. MathReview: 99i:68025

13 7 月, 1998 in 1994-1999

Normal approximations of the number of records in geometrically distributed random variables

Zhi-Dong Bai, Hsien-Kuei Hwang, Wen-Qi Liang. Normal approximations of the number of records in geometrically distributed random variables. Random Structures and Algorithms, 13:3-4 (1998), 319-334.MathReview: 99k:60051

13 7 月, 1998 in 1994-1999

A Poisson * negative binomial convolution law for random polynomials over finite fields

Hsien-Kuei Hwang. A Poisson * negative binomial convolution law for random polynomials over finite fields. Random Structures and Algorithms, 13:1 (1998), 17-47. MathReview: 99e:11149

13 7 月, 1998 in 1994-1999

Asymptotics of divide-and-conquer recurrences: Batcher's sorting algorithm and a minimum Euclidean matching heuristic

Hsien-Kuei Hwang. Asymptotics of divide-and-conquer recurrences: Batcher's sorting algorithm and a minimum Euclidean matching heuristic. Algorithmica, 22:4 (1998), 529-546. MathReview: 2000j:68206

13 7 月, 1998 in 1994-1999

Expected measure of the union of random rectangles

Chern-Ching Chao, Hsien-Kuei Hwang, Wen-Qi Liang. Expected measure of the union of random rectangles. Journal of Applied Probability, 35:2 (1998), 495-500.MathReview: 99e:60037

13 7 月, 1998 in 1994-1999

Sur la répartition des valeurs des fonctions arithmétiques. Le nombre de facteurs premiers d'un entier

Hsien-Kuei Hwang. Sur la répartition des valeurs des fonctions arithmétiques. Le nombre de facteurs premiers d'un entier (in French) [On the distribution of the values of arithmetical functions. The number of prime factors of an integer] Journal of Number Theory, 69:2 (1998), 135-152. MathReview: 99d:11100

13 7 月, 1998 in 1994-1999

On the variance of the number of maxima in random vectors and its applications

Zhi-Dong Bai, Chern-Ching Chao, Hsien-Kuei Hwang, Wen-Qi Liang. On the variance of the number of maxima in random vectors and its applications. Annals of Applied Probability, 8:3 (1998), 886-895.MathReview: 99f:60019

13 7 月, 1998 in 1994-1999

A Poisson * geometric convolution law for the number of components in unlabelled combinatorial structures

Hsien-Kuei Hwang. A Poisson * geometric convolution law for the number of components in unlabelled combinatorial structures. Combinatorics, Probability and Computing, 7:1 (1998), 89-110. MathReview: 99e:05012

13 7 月, 1998 in 1994-1999

Large deviations of combinatorial distributions. II. Local limit theorems

Hsien-Kuei Hwang. Large deviations of combinatorial distributions. II. Local limit theorems. Annals of Applied Probability, 8:1 (1998), 163-181. MathReview: 99i:60056

13 7 月, 1998 in 1994-1999

Asymptotic estimates of elementary probability distributions

Hsien-Kuei Hwang. Asymptotic estimates of elementary probability distributions. Studies in Applied Mathematics, 99:4 (1997), 393-417. MathReview: 98e:62027

13 7 月, 1997 in 1994-1999

Measures of distinctness for random partitions and compositions of an integer

Hsien-Kuei Hwang, Yeong-Nan Yeh. Measures of distinctness for random partitions and compositions of an integer. Advances in Applied Mathematics, 19:3 (1997), 378-414. MathReview: 98d:11097

13 7 月, 1997 in 1994-1999

Distribution of integer partitions with large number of summands

Hsien-Kuei Hwang. Distribution of integer partitions with large number of summands. Acta Arithmetica, 78:4 (1997), 351-365. MathReview: 98b:11108

13 7 月, 1997 in 1994-1999

A constant arising from the analysis of algorithms for determining the maximum of a random walk

Hsien-Kuei Hwang. A constant arising from the analysis of algorithms for determining the maximum of a random walk. Random Structures and Algorithms, 10:3 (1997), 333-335. MathReview: 98i:05007

13 7 月, 1997 in 1994-1999

Optimal algorithms for inserting a random element into a random heap

Hsien-Kuei Hwang. Optimal algorithms for inserting a random element into a random heap. IEEE Transactions on Information Theory, 43:2 (1997), 784-787. MathReview: 97m:68040

13 7 月, 1997 in 1994-1999

Large deviations for combinatorial distributions. I. Central limit theorems

Hsien-Kuei Hwang. Large deviations for combinatorial distributions. I. Central limit theorems. Annals of Applied Probability, 6:1 (1996), 297-319. MathReview: 97g:60041

13 7 月, 1996 in 1994-1999

Limit theorems for mergesort

Hsien-Kuei Hwang. Limit theorems for mergesort. Random Structures and Algorithms, 8:4 (1996), 319-336. MathReview: 99c:68062

13 7 月, 1996 in1994-1999

Asymptotic behaviour of some infinite products involving prime numbers

Hsien-Kuei Hwang. Asymptotic behaviour of some infinite products involving prime numbers. Acta Arithmetica, 75:4 (1996), 339-350. MathReview: 97d:11140

13 7 月, 1996 in 1994-1999

Asymptotic expansion for the Lebesgue constants of the Walsh system

Hsien-Kuei Hwang. Asymptotic expansion for the Lebesgue constants of the Walsh system. Journal of Computational and Applied Mathematics, 71:2 (1996), 237-243. MathReview: 97c:42050

13 7 月, 1996 in 1994-1999

Asymptotic expansions for the Stirling numbers of the first kind

Hsien-Kuei Hwang. Asymptotic expansions for the Stirling numbers of the first kind. Journal of Combinatorial Theory, Series A, 71:2 (1995), 343-351. MathReview: 96k:11019

13 7 月, 1995 in 1994-1999

Théorèmes limites pour les structures combinatories et les fonctions arithmétiques

Hsien-Kuei Hwang. Théorèmes limites pour les structures combinatories et les fonctions arithmétiques. Ph.D.Thesis, École Polytechnique (1994) (Errata: For the proofs of Theorem 1 and Theorem 6 on Page 52 and Page 83, the application of the Berry-Esseen smoothing inequality requires some continuity modifications; see the proof of Lemma 2 on Page 68 or my papers On convergence rates in the central limit theorems for combinatorial structures and Large deviations of combinatorial distributions, I. Central limit theorems.)

13 7 月, 1994 in 1994-1999