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

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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

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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

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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

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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

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Limit theorems for mergesort

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

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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

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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

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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

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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.)

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