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## Hwang, Hsien-Kuei

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 Author ID: hwang.hsien-kuei Published as: Hwang, Hsien-Kuei; Hwang, H.-K.; Hwang, H.-K Homepage: http://algo.stat.sinica.edu.tw External Links: MGP · Math-Net.Ru · dblp
 Documents Indexed: 87 Publications since 1995, including 2 Books Reviewing Activity: 69 Reviews
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#### Co-Authors

 23 single-authored 13 Tsai, Tsung-Hsi 11 Chern, Huahuai 10 Fuchs, Michael 7 Zacharovas, Vytas 5 Bai, Zhi-Dong 5 Chen, Wei-Mei 5 Neininger, Ralph 4 Janson, Svante 4 Liang, Wenqi 3 Bodini, Olivier 3 Drmota, Michael 3 Martínez, Conrado 3 Yeh, Yeong-Nan 2 Chao, Chern-Ching 2 Darrasse, Alexis 2 Devroye, Luc P. J. A. 2 Itoh, Yoshiaki 2 Mahmoud, Hosam M. 2 Nicodème, Pierre 2 Park, Gahyun 2 Soria, Michèle 2 Szpankowski, Wojciech 1 Bacher, Axel 1 Banderier, Cyril 1 Chen, Genhuey 1 Chen, Louis Hsiao-Yun 1 Chern, Homer H. M. 1 Dien, Matthieu 1 Duh, Guan-Huei 1 Fang, Wenjie 1 Fernández-Camacho, María-Inés 1 Fontaine, Xavier 1 Genitrini, Antoine 1 Grabner, Peter J. 1 Hubalek, Friedrich 1 Jin, Emma Yu 1 Kang, Mihyun 1 Lew, William 1 Prodinger, Helmut 1 Ravelomanana, Vlady 1 Sedgewick, Robert 1 Steyaert, Jean-Marc 1 Witt, Carsten 1 Yang, Bo-Yin 1 Zaionc, Marek
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#### Serials

 12 Random Structures & Algorithms 5 SIAM Journal on Computing 5 Electronic Journal of Probability 4 Journal of Applied Probability 4 Journal of Combinatorial Theory. Series A 4 Theoretical Computer Science 4 Journal of Algorithms 4 Algorithmica 4 The Annals of Applied Probability 4 Combinatorics, Probability and Computing 3 Advances in Applied Mathematics 3 ACM Transactions on Algorithms 2 Advances in Applied Probability 2 Acta Arithmetica 2 The Annals of Probability 2 Journal of Number Theory 2 SIAM Journal on Discrete Mathematics 2 Discrete Mathematics and Theoretical Computer Science. DMTCS 1 Acta Informatica 1 IEEE Transactions on Information Theory 1 Lithuanian Mathematical Journal 1 Theory of Probability and its Applications 1 Journal of Computational and Applied Mathematics 1 Studies in Applied Mathematics 1 European Journal of Combinatorics 1 Constructive Approximation 1 Computational Geometry 1 Probability Surveys
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#### Fields

 46 Probability theory and stochastic processes (60-XX) 44 Computer science (68-XX) 29 Combinatorics (05-XX) 19 Number theory (11-XX) 5 Statistics (62-XX) 3 General and overarching topics; collections (00-XX) 3 Functions of a complex variable (30-XX) 3 Numerical analysis (65-XX) 2 Approximations and expansions (41-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

69 Publications have been cited 546 times in 362 Documents Cited by Year
On convergence rates in the central limit theorems for combinatorial structures. Zbl 0906.60024
Hwang, Hsien-Kuei
1998
Phase change of limit laws in the quicksort recurrence under varying toll functions. Zbl 1008.68166
Hwang, Hsien-Kuei; Neininger, Ralph
2002
Quickselect and the Dickman function. Zbl 1008.68044
Hwang, Hsien-Kuei; Tsai, Tsung-Hsi
2002
Profiles of random trees: Limit theorems for random recursive trees and binary search trees. Zbl 1106.68083
Fuchs, Michael; Hwang, Hsien-Kuei; Neininger, Ralph
2006
Phase changes in random $$m$$-ary search trees and generalized quicksort. Zbl 0990.68052
Chern, Hua-Huai; Hwang, Hsien-Kuei
2001
Large deviations for combinatorial distributions. I: Central limit theorems. Zbl 0863.60013
Hwang, Hsien-Kuei
1996
Local limit theorems for finite and infinite urn models. Zbl 1138.60027
Hwang, Hsien-Kuei; Janson, Svante
2008
Asymptotic expansions for the Stirling numbers of the first kind. Zbl 0833.05005
Hwang, Hsien-Kuei
1995
Profiles of random trees: correlation and width of random recursive trees and binary search trees. Zbl 1073.60006
Drmota, Michael; Hwang, Hsien-Kuei
2005
Maxima in hypercubes. Zbl 1080.60007
Bai, Zhi-Dong; Devroye, Luc; Hwang, Hsien-Kuei; Tsai, Tsung-Hsi
2005
Limit theorems for the number of summands in integer partitions. Zbl 1029.60013
Hwang, Hsien-Kuei
2001
Asymptotics of Poisson approximation to random discrete distributions: An analytic approach. Zbl 0945.60001
Hwang, Hsien-Kuei
1999
An asymptotic theory for Cauchy–Euler differential equations with applications to the analysis of algorithms. Zbl 1030.68114
Chern, Hua-Huai; Hwang, Hsien-Kuei; Tsai, Tsung-Hsi
2002
Asymptotic variance of random symmetric digital search trees. Zbl 1278.68080
Hwang, Hsien-Kuei; Fuchs, Michael; Zacharovas, Vytas
2010
Profiles of random trees: plane-oriented recursive trees. Zbl 1115.05083
Hwang, Hsien-Kuei
2007
Distribution of the number of consecutive records. Zbl 0969.60017
Chern, Hua-Huai; Hwang, Hsien-Kuei; Yeh, Yeong-Nan
2000
Normal approximations of the number of records in geometrically distributed random variables. Zbl 0961.60040
Bai, Zhi-Dong; Hwang, Hsien-Kuei; Liang, Wen-Qi
1998
Profiles of tries. Zbl 1191.68898
Park, Gahyun; Hwang, Hsien-Kuei; Nicodème, Pierre; Szpankowski, Wojciech
2009
Width and mode of the profile for some random trees of logarithmic height. Zbl 1128.60008
Devroye, Luc; Hwang, Hsien-Kuei
2006
On the variance of the number of maxima in random vectors and its applications. Zbl 0941.60021
Bai, Zhi-Dong; Chao, Chern-Ching; Hwang, Hsien-Kuei; Liang, Wen-Qi
1998
Large deviations of combinatorial distributions. II: Local limit theorems. Zbl 0954.60020
Hwang, Hsien-Kuei
1998
Limit theorems for the number of maxima in random samples from planar regions. Zbl 0986.60007
Bai, Zhi-Dong; Hwang, Hsien-Kuei; Liang, Wen-Qi; Tsai, Tsung-Hsi
2001
Distribution of the number of factors in random ordered factorizations of integers. Zbl 1002.11071
Hwang, Hsien-Kuei
2000
Limit distribution of the number of consecutive records. Zbl 1076.62014
Chern, Hua-Huai; Hwang, Hsien-Kuei
2005
Bimodality and phase transitions in the profile variance of random binary search trees. Zbl 1086.68037
Drmota, Michael; Hwang, Hsien-Kuei
2005
Partial match queries in random quadtrees. Zbl 1053.68128
Chern, Hua-Huai; Hwang, Hsien-Kuei
2003
Efficient maxima-finding algorithms for random planar samples. Zbl 1036.68124
Chen, Wei-Mei; Hwang, Hsien-Kuei; Tsai, Tsung-Hsi
2003
Multivariate records based on dominance. Zbl 1225.60043
Hwang, Hsien-Kuei; Tsai, Tsung-Hsi
2010
Distribution of the sum-of-digits function of random integers: a survey. Zbl 1327.60029
Chen, Louis H. Y.; Hwang, Hsien-Kuei; Zacharovas, Vytas
2014
Phase changes in random point quadtrees. Zbl 1321.68218
Chern, Hua-Huai; Fuchs, Michael; Hwang, Hsien-Kuei
2007
Measures of distinctness for random partitions and compositions of an integer. Zbl 0943.05009
Hwang, H.-K.; Yeh, Y.-N.
1997
A Charlier-Parseval approach to Poisson approximation and its applications. Zbl 1209.60019
Zacharovas, V.; Hwang, H.-K.
2010
Digital sums and divide-and-conquer recurrences: Fourier expansions and absolute convergence. Zbl 1088.11063
Grabner, Peter J.; Hwang, Hsien-Kuei
2005
An analytic approach to the asymptotic variance of trie statistics and related structures. Zbl 1337.68081
Fuchs, Michael; Hwang, Hsien-Kuei; Zacharovas, Vytas
2014
Partial match queries in random $$k$$-d trees. Zbl 1116.68029
Chern, Hua-Huai; Hwang, Hsien-Kuei
2006
Second phase changes in random $$m$$-ary search trees and generalized quicksort: Convergence rates. Zbl 1021.60020
Hwang, Hsien-Kuei
2003
The cost distribution of queue-mergesort, optimal mergesorts, and power-of-2 rules. Zbl 0923.68045
Chen, Wei-Mei; Hwang, Hsien-Kuei; Chen, Gen-Huey
1999
Limit distribution of the coefficients of polynomials with only unit roots. Zbl 1317.05017
Hwang, Hsien-Kuei; Zacharovas, Vytas
2015
Limit theorems for mergesort. Zbl 0855.60024
Hwang, Hsien-Kuei
1996
Profiles of random trees: plane-oriented recursive trees. Zbl 1104.68086
Hwang, Hsien-Kuei
2005
Threshold phenomena in $$k$$-dominant skylines of random samples. Zbl 1268.68072
Hwang, Hsien-Kuei; Tsai, Tsung-Hsi; Chen, Wei-Mei
2013
Profile of tries. Zbl 1136.68368
Park, G.; Hwang, H.-K; Nicodème, P.; Szpankowski, W.
2008
A constant arising from the analysis of algorithms for determining the maximum of a random walk. Zbl 0874.60066
Hwang, Hsien-Kuei
1997
A multivariate view of random bucket digital search trees. Zbl 1010.68047
Hubalek, Friedrich; Hwang, Hsien-Kuei; Lew, William; Mahmoud, Hosam; Prodinger, Helmut
2002
Asymptotics of divide-and-conquer recurrences: Batcher’s sorting algorithm and a minimum Euclidean matching heuristic. Zbl 0914.68048
Hwang, H.-K.
1998
Analysis in distribution of two randomized algorithms for finding the maximum in a broadcast communication model. Zbl 1030.68109
Chen, Wei-Mei; Hwang, Hsien-Kuei
2003
An asymptotic theory for recurrence relations based on minimization and maximization. Zbl 1044.68168
Hwang, Hsien-Kuei; Tsai, Tsung-Hsi
2003
On the number of heaps and the cost of heap construction. Zbl 1034.68023
Hwang, Hsien-Kuei; Steyaert, Jean-Marc
2002
Berry-{E}sseen bounds for the number of maxima in planar regions. Zbl 1065.60020
Bai, Zhi-Dong; Hwang, Hsien-Kuei; Tsai, Tsung-Hsi
2003
Transitional behaviors of the average cost of quicksort with median-of-$$(2t+1)$$. Zbl 0967.68048
Chern, H.-H.; Hwang, H.-K.
2001
Asymptotic expansions of the mergesort recurrences. Zbl 0910.68058
Hwang, Hsien-Kuei
1998
Generating random permutations by coin tossing: classical algorithms, new analysis, and modern implementation. Zbl 1445.68104
Bacher, Axel; Bodini, Olivier; Hwang, Hsien-Kuei; Tsai, Tsung-Hsi
2017
Random unfriendly seating arrangement in a dining table. Zbl 1342.60008
Chern, Hua-Huai; Hwang, Hsien-Kuei; Tsai, Tsung-Hsi
2015
Analysis of an exhaustive search algorithm in random graphs and the $$n^{c\log n}$$-asymptotics. Zbl 1294.05140
Banderier, Cyril; Hwang, Hsien-Kuei; Ravelomanana, Vlady; Zacharovas, Vytas
2014
Asymptotic estimates of elementary probability distributions. Zbl 0951.60018
Hwang, Hsien-Kuei
1997
Uniform asymptotics of Poisson approximation to the Poisson-binomial distribution. Zbl 1230.60021
Hwang, H.-K.; Zacharovas, V.
2011
A binomial splitting process in connection with corner parking problems. Zbl 1321.60012
Fuchs, Michael; Hwang, Hsien-Kuei; Itoh, Yoshiaki; Mahmoud, Hosam H.
2014
An asymptotic distribution theory for Eulerian recurrences with applications. Zbl 1440.05026
Hwang, Hsien-Kuei; Chern, Hua-Huai; Duh, Guan-Huei
2020
Sharp bounds on the runtime of the (1+1) EA via drift analysis and analytic combinatorial tools. Zbl 1433.68645
Hwang, Hsien-Kuei; Witt, Carsten
2019
Dependence and phase changes in random $$m$$-ary search trees. Zbl 1364.05023
Chern, Hua-Huai; Fuchs, Michael; Hwang, Hsien-Kuei; Neininger, Ralph
2017
The connectivity-profile of random increasing $$k$$-trees. Zbl 1430.68187
Darrasse, Alexis; Hwang, Hsien-Kuei; Bodini, Olivier; Soria, Michèle
2010
Distribution of integer partitions with large number of summands. Zbl 0866.11058
Hwang, Hsien-Kuei
1997
Asymptotic behaviour of some infinite products involving prime numbers. Zbl 0841.11051
Hwang, Hsien-Kuei
1996
A Poisson $$*$$ geometric convolution law for the number of components in unlabelled combinatorial structures. Zbl 0899.60008
Hwang, Hsien-Kuei
1998
On the distribution of the values of arithmetic functions. The number of prime factors of an integer. (Sur la répartition des valeurs des fonctions arithmétiques. Le nombre de facteurs premiers d’un entier.) Zbl 0909.11039
Hwang, Hsien-Kuei
1998
Maxima-finding algorithms for multidimensional samples: A two-phase approach. Zbl 1243.65032
Chen, Wei-Mei; Hwang, Hsien-Kuei; Tsai, Tsung-Hsi
2012
Increasing diamonds. Zbl 1417.05005
Bodini, Olivier; Dien, Matthieu; Fontaine, Xavier; Genitrini, Antoine; Hwang, Hsien-Kuei
2016
Exact and asymptotic solutions of a divide-and-conquer recurrence dividing at half: theory and applications. Zbl 1451.68359
Hwang, Hsien-Kuei; Janson, Svante; Tsai, Tsung-Hsi
2017
A central limit theorem for random ordered factorizations of integers. Zbl 1267.11103
Hwang, Hsien-Kuei; Janson, Svante
2011
An asymptotic distribution theory for Eulerian recurrences with applications. Zbl 1440.05026
Hwang, Hsien-Kuei; Chern, Hua-Huai; Duh, Guan-Huei
2020
Sharp bounds on the runtime of the (1+1) EA via drift analysis and analytic combinatorial tools. Zbl 1433.68645
Hwang, Hsien-Kuei; Witt, Carsten
2019
Generating random permutations by coin tossing: classical algorithms, new analysis, and modern implementation. Zbl 1445.68104
Bacher, Axel; Bodini, Olivier; Hwang, Hsien-Kuei; Tsai, Tsung-Hsi
2017
Dependence and phase changes in random $$m$$-ary search trees. Zbl 1364.05023
Chern, Hua-Huai; Fuchs, Michael; Hwang, Hsien-Kuei; Neininger, Ralph
2017
Exact and asymptotic solutions of a divide-and-conquer recurrence dividing at half: theory and applications. Zbl 1451.68359
Hwang, Hsien-Kuei; Janson, Svante; Tsai, Tsung-Hsi
2017
Increasing diamonds. Zbl 1417.05005
Bodini, Olivier; Dien, Matthieu; Fontaine, Xavier; Genitrini, Antoine; Hwang, Hsien-Kuei
2016
Limit distribution of the coefficients of polynomials with only unit roots. Zbl 1317.05017
Hwang, Hsien-Kuei; Zacharovas, Vytas
2015
Random unfriendly seating arrangement in a dining table. Zbl 1342.60008
Chern, Hua-Huai; Hwang, Hsien-Kuei; Tsai, Tsung-Hsi
2015
Distribution of the sum-of-digits function of random integers: a survey. Zbl 1327.60029
Chen, Louis H. Y.; Hwang, Hsien-Kuei; Zacharovas, Vytas
2014
An analytic approach to the asymptotic variance of trie statistics and related structures. Zbl 1337.68081
Fuchs, Michael; Hwang, Hsien-Kuei; Zacharovas, Vytas
2014
Analysis of an exhaustive search algorithm in random graphs and the $$n^{c\log n}$$-asymptotics. Zbl 1294.05140
Banderier, Cyril; Hwang, Hsien-Kuei; Ravelomanana, Vlady; Zacharovas, Vytas
2014
A binomial splitting process in connection with corner parking problems. Zbl 1321.60012
Fuchs, Michael; Hwang, Hsien-Kuei; Itoh, Yoshiaki; Mahmoud, Hosam H.
2014
Threshold phenomena in $$k$$-dominant skylines of random samples. Zbl 1268.68072
Hwang, Hsien-Kuei; Tsai, Tsung-Hsi; Chen, Wei-Mei
2013
Maxima-finding algorithms for multidimensional samples: A two-phase approach. Zbl 1243.65032
Chen, Wei-Mei; Hwang, Hsien-Kuei; Tsai, Tsung-Hsi
2012
Uniform asymptotics of Poisson approximation to the Poisson-binomial distribution. Zbl 1230.60021
Hwang, H.-K.; Zacharovas, V.
2011
A central limit theorem for random ordered factorizations of integers. Zbl 1267.11103
Hwang, Hsien-Kuei; Janson, Svante
2011
Asymptotic variance of random symmetric digital search trees. Zbl 1278.68080
Hwang, Hsien-Kuei; Fuchs, Michael; Zacharovas, Vytas
2010
Multivariate records based on dominance. Zbl 1225.60043
Hwang, Hsien-Kuei; Tsai, Tsung-Hsi
2010
A Charlier-Parseval approach to Poisson approximation and its applications. Zbl 1209.60019
Zacharovas, V.; Hwang, H.-K.
2010
The connectivity-profile of random increasing $$k$$-trees. Zbl 1430.68187
Darrasse, Alexis; Hwang, Hsien-Kuei; Bodini, Olivier; Soria, Michèle
2010
Profiles of tries. Zbl 1191.68898
Park, Gahyun; Hwang, Hsien-Kuei; Nicodème, Pierre; Szpankowski, Wojciech
2009
Local limit theorems for finite and infinite urn models. Zbl 1138.60027
Hwang, Hsien-Kuei; Janson, Svante
2008
Profile of tries. Zbl 1136.68368
Park, G.; Hwang, H.-K; Nicodème, P.; Szpankowski, W.
2008
Profiles of random trees: plane-oriented recursive trees. Zbl 1115.05083
Hwang, Hsien-Kuei
2007
Phase changes in random point quadtrees. Zbl 1321.68218
Chern, Hua-Huai; Fuchs, Michael; Hwang, Hsien-Kuei
2007
Profiles of random trees: Limit theorems for random recursive trees and binary search trees. Zbl 1106.68083
Fuchs, Michael; Hwang, Hsien-Kuei; Neininger, Ralph
2006
Width and mode of the profile for some random trees of logarithmic height. Zbl 1128.60008
Devroye, Luc; Hwang, Hsien-Kuei
2006
Partial match queries in random $$k$$-d trees. Zbl 1116.68029
Chern, Hua-Huai; Hwang, Hsien-Kuei
2006
Profiles of random trees: correlation and width of random recursive trees and binary search trees. Zbl 1073.60006
Drmota, Michael; Hwang, Hsien-Kuei
2005
Maxima in hypercubes. Zbl 1080.60007
Bai, Zhi-Dong; Devroye, Luc; Hwang, Hsien-Kuei; Tsai, Tsung-Hsi
2005
Limit distribution of the number of consecutive records. Zbl 1076.62014
Chern, Hua-Huai; Hwang, Hsien-Kuei
2005
Bimodality and phase transitions in the profile variance of random binary search trees. Zbl 1086.68037
Drmota, Michael; Hwang, Hsien-Kuei
2005
Digital sums and divide-and-conquer recurrences: Fourier expansions and absolute convergence. Zbl 1088.11063
Grabner, Peter J.; Hwang, Hsien-Kuei
2005
Profiles of random trees: plane-oriented recursive trees. Zbl 1104.68086
Hwang, Hsien-Kuei
2005
Partial match queries in random quadtrees. Zbl 1053.68128
Chern, Hua-Huai; Hwang, Hsien-Kuei
2003
Efficient maxima-finding algorithms for random planar samples. Zbl 1036.68124
Chen, Wei-Mei; Hwang, Hsien-Kuei; Tsai, Tsung-Hsi
2003
Second phase changes in random $$m$$-ary search trees and generalized quicksort: Convergence rates. Zbl 1021.60020
Hwang, Hsien-Kuei
2003
Analysis in distribution of two randomized algorithms for finding the maximum in a broadcast communication model. Zbl 1030.68109
Chen, Wei-Mei; Hwang, Hsien-Kuei
2003
An asymptotic theory for recurrence relations based on minimization and maximization. Zbl 1044.68168
Hwang, Hsien-Kuei; Tsai, Tsung-Hsi
2003
Berry-{E}sseen bounds for the number of maxima in planar regions. Zbl 1065.60020
Bai, Zhi-Dong; Hwang, Hsien-Kuei; Tsai, Tsung-Hsi
2003
Phase change of limit laws in the quicksort recurrence under varying toll functions. Zbl 1008.68166
Hwang, Hsien-Kuei; Neininger, Ralph
2002
Quickselect and the Dickman function. Zbl 1008.68044
Hwang, Hsien-Kuei; Tsai, Tsung-Hsi
2002
An asymptotic theory for Cauchy–Euler differential equations with applications to the analysis of algorithms. Zbl 1030.68114
Chern, Hua-Huai; Hwang, Hsien-Kuei; Tsai, Tsung-Hsi
2002
A multivariate view of random bucket digital search trees. Zbl 1010.68047
Hubalek, Friedrich; Hwang, Hsien-Kuei; Lew, William; Mahmoud, Hosam; Prodinger, Helmut
2002
On the number of heaps and the cost of heap construction. Zbl 1034.68023
Hwang, Hsien-Kuei; Steyaert, Jean-Marc
2002
Phase changes in random $$m$$-ary search trees and generalized quicksort. Zbl 0990.68052
Chern, Hua-Huai; Hwang, Hsien-Kuei
2001
Limit theorems for the number of summands in integer partitions. Zbl 1029.60013
Hwang, Hsien-Kuei
2001
Limit theorems for the number of maxima in random samples from planar regions. Zbl 0986.60007
Bai, Zhi-Dong; Hwang, Hsien-Kuei; Liang, Wen-Qi; Tsai, Tsung-Hsi
2001
Transitional behaviors of the average cost of quicksort with median-of-$$(2t+1)$$. Zbl 0967.68048
Chern, H.-H.; Hwang, H.-K.
2001
Distribution of the number of consecutive records. Zbl 0969.60017
Chern, Hua-Huai; Hwang, Hsien-Kuei; Yeh, Yeong-Nan
2000
Distribution of the number of factors in random ordered factorizations of integers. Zbl 1002.11071
Hwang, Hsien-Kuei
2000
Asymptotics of Poisson approximation to random discrete distributions: An analytic approach. Zbl 0945.60001
Hwang, Hsien-Kuei
1999
The cost distribution of queue-mergesort, optimal mergesorts, and power-of-2 rules. Zbl 0923.68045
Chen, Wei-Mei; Hwang, Hsien-Kuei; Chen, Gen-Huey
1999
On convergence rates in the central limit theorems for combinatorial structures. Zbl 0906.60024
Hwang, Hsien-Kuei
1998
Normal approximations of the number of records in geometrically distributed random variables. Zbl 0961.60040
Bai, Zhi-Dong; Hwang, Hsien-Kuei; Liang, Wen-Qi
1998
On the variance of the number of maxima in random vectors and its applications. Zbl 0941.60021
Bai, Zhi-Dong; Chao, Chern-Ching; Hwang, Hsien-Kuei; Liang, Wen-Qi
1998
Large deviations of combinatorial distributions. II: Local limit theorems. Zbl 0954.60020
Hwang, Hsien-Kuei
1998
Asymptotics of divide-and-conquer recurrences: Batcher’s sorting algorithm and a minimum Euclidean matching heuristic. Zbl 0914.68048
Hwang, H.-K.
1998
Asymptotic expansions of the mergesort recurrences. Zbl 0910.68058
Hwang, Hsien-Kuei
1998
A Poisson $$*$$ geometric convolution law for the number of components in unlabelled combinatorial structures. Zbl 0899.60008
Hwang, Hsien-Kuei
1998
On the distribution of the values of arithmetic functions. The number of prime factors of an integer. (Sur la répartition des valeurs des fonctions arithmétiques. Le nombre de facteurs premiers d’un entier.) Zbl 0909.11039
Hwang, Hsien-Kuei
1998
Measures of distinctness for random partitions and compositions of an integer. Zbl 0943.05009
Hwang, H.-K.; Yeh, Y.-N.
1997
A constant arising from the analysis of algorithms for determining the maximum of a random walk. Zbl 0874.60066
Hwang, Hsien-Kuei
1997
Asymptotic estimates of elementary probability distributions. Zbl 0951.60018
Hwang, Hsien-Kuei
1997
Distribution of integer partitions with large number of summands. Zbl 0866.11058
Hwang, Hsien-Kuei
1997
Large deviations for combinatorial distributions. I: Central limit theorems. Zbl 0863.60013
Hwang, Hsien-Kuei
1996
Limit theorems for mergesort. Zbl 0855.60024
Hwang, Hsien-Kuei
1996
Asymptotic behaviour of some infinite products involving prime numbers. Zbl 0841.11051
Hwang, Hsien-Kuei
1996
Asymptotic expansions for the Stirling numbers of the first kind. Zbl 0833.05005
Hwang, Hsien-Kuei
1995
all top 5

#### Cited by 398 Authors

 27 Hwang, Hsien-Kuei 18 Prodinger, Helmut 16 Mahmoud, Hosam M. 16 Panholzer, Alois 15 Neininger, Ralph 14 Wagner, Stephan G. 13 Fuchs, Michael 13 Heuberger, Clemens 11 Kuba, Markus F. 10 Janson, Svante 8 Coelho, Carlos Agra 7 Drmota, Michael 7 Knopfmacher, Arnold 7 Sulzbach, Henning 6 Chern, Huahuai 6 Devroye, Luc P. J. A. 6 Hitczenko, Paweł 6 Louchard, Guy 6 Marques, Filipe J. 6 Vallée, Brigitte 5 Fill, James Allen 5 Martínez, Conrado 5 Rué, Juanjo 5 Yukich, Joseph Elliott 5 Zacharovas, Vytas 4 Broutin, Nicolas 4 Chebunin, Mikhail Georgievich 4 Chen, Wei-Mei 4 Flajolet, Philippe 4 François, Olivier 4 Gittenberger, Bernhard 4 Grübel, Rudolf 4 Holst, Lars 4 Iksanov, Aleksander M. 4 Kabluchko, Zakhar A. 4 Krenn, Daniel 4 Makri, Frosso S. 4 Nikeghbali, Ashkan 4 Tsai, Tsung-Hsi 4 Yeh, Yeong-Nan 3 Aguech, Rafik 3 Barbour, Andrew D. 3 Biau, Gérard 3 Blum, Michael G. B. 3 Cesaratto, Eda 3 Duch, Amalia 3 Giuliano, Rita 3 Gnedin, Alexander V. 3 Gouet, Raúl 3 Grabner, Peter J. 3 Hackl, Benjamin 3 Holmgren, Cecilia Ingrid 3 Ivchenko, G. I. 3 Javier López, F. 3 Knape, Margarete 3 Kropf, Sara 3 Madritsch, Manfred G. 3 Medvedev, Yu. I. 3 Penrose, Mathew D. 3 Psillakis, Zaharias M. 3 Ralaivaosaona, Dimbinaina 3 Sanz, Gerardo 3 Suri, Subhash 3 Ward, Mark Daniel 3 Wild, Sebastian 2 Arratia, Richard Alejandro 2 Bai, Zhi-Dong 2 Barabesi, Lucio 2 Berthé, Valérie 2 Bhattacharjee, Chinmoy 2 Blagouchine, Iaroslav V. 2 Bourdon, Jérémie 2 Cai, Xing Shi 2 Caliebe, Amke 2 Čekanavičius, Vydas 2 Chassaing, Philippe 2 Chen, Louis Hsiao-Yun 2 Chern, Bobbie 2 Diaconis, Persi Warren 2 Feng, Qunqiang 2 Fernández-Camacho, María-Inés 2 Gopaladesikan, Mohan 2 Grilo, Luís Miguel 2 Hernane, Mohand-Ouamar 2 Itoh, Yoshiaki 2 Jin, Emma Yu 2 Kane, Daniel M. 2 Kapur, Nevin 2 Korolëv, Maksim Aleksandrovich 2 Kovalevskii, Artyom 2 Lasmar, Nabil 2 Lebowitz-Lockard, Noah 2 Majumdar, Satya N. 2 Mitsche, Dieter 2 Möhle, Martin 2 Nakada, Hitoshi 2 Nakama, Takéhiko 2 Natsui, Rie 2 Nebel, Markus E. 2 Norkūnienė, Jolita ...and 298 more Authors
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#### Cited in 110 Serials

 24 Theoretical Computer Science 18 Advances in Applied Probability 16 Journal of Applied Probability 16 The Annals of Applied Probability 15 Random Structures & Algorithms 14 Combinatorics, Probability and Computing 13 Advances in Applied Mathematics 10 The Annals of Probability 10 Journal of Combinatorial Theory. Series A 10 Algorithmica 8 Journal of Number Theory 7 Discrete Mathematics 7 Statistics & Probability Letters 7 Stochastic Processes and their Applications 7 Electronic Journal of Probability 6 International Journal of Number Theory 5 Lithuanian Mathematical Journal 5 Monatshefte für Mathematik 5 European Journal of Combinatorics 5 Methodology and Computing in Applied Probability 4 Discrete Applied Mathematics 4 Journal of Statistical Physics 4 Journal of Statistical Planning and Inference 4 Proceedings of the American Mathematical Society 4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 4 Bernoulli 4 Annals of Combinatorics 3 Information Processing Letters 3 Journal of Mathematical Biology 3 Probability Theory and Related Fields 3 Journal of Theoretical Probability 3 SIAM Journal on Discrete Mathematics 3 The Electronic Journal of Combinatorics 3 The Ramanujan Journal 3 Probability Surveys 3 Matematicheskie Voprosy Kriptografii 2 Journal of Mathematical Analysis and Applications 2 Periodica Mathematica Hungarica 2 Arkiv för Matematik 2 Annals of the Institute of Statistical Mathematics 2 The Annals of Statistics 2 Journal of Computational and Applied Mathematics 2 Journal of Symbolic Computation 2 Computational Geometry 2 Communications in Statistics. Theory and Methods 2 Linear Algebra and its Applications 2 Test 2 Statistical Papers 2 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 2 Journal of Discrete Algorithms 2 Sibirskie Èlektronnye Matematicheskie Izvestiya 2 Proceedings of the Steklov Institute of Mathematics 2 Journal of Theoretical Biology 2 Modern Stochastics. Theory and Applications 2 Journal of Algebra, Combinatorics, Discrete Structures and Applications 1 Acta Informatica 1 Israel Journal of Mathematics 1 Mathematical Biosciences 1 Mathematics of Computation 1 Chaos, Solitons and Fractals 1 Theory of Probability and its Applications 1 Acta Arithmetica 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Commentarii Mathematici Helvetici 1 Duke Mathematical Journal 1 Functiones et Approximatio. Commentarii Mathematici 1 Information Sciences 1 Journal of Computer and System Sciences 1 Journal of Multivariate Analysis 1 Journal of Optimization Theory and Applications 1 Networks 1 Journal of the Japan Statistical Society 1 Stochastic Analysis and Applications 1 Acta Mathematica Hungarica 1 Acta Applicandae Mathematicae 1 Statistics 1 Journal of Complexity 1 Journal of Computer Science and Technology 1 Discrete & Computational Geometry 1 Applied Mathematics Letters 1 Machine Learning 1 Designs, Codes and Cryptography 1 Computational Statistics 1 Aequationes Mathematicae 1 Automation and Remote Control 1 European Journal of Operational Research 1 Indagationes Mathematicae. New Series 1 Experimental Mathematics 1 Journal de Théorie des Nombres de Bordeaux 1 Computational and Applied Mathematics 1 Finite Fields and their Applications 1 Electronic Communications in Probability 1 Sbornik: Mathematics 1 Vietnam Journal of Mathematics 1 Journal of Group Theory 1 Journal of Integer Sequences 1 Integers 1 Internet Mathematics 1 Statistical Methods and Applications ...and 10 more Serials
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#### Cited in 30 Fields

 198 Probability theory and stochastic processes (60-XX) 148 Combinatorics (05-XX) 100 Computer science (68-XX) 73 Number theory (11-XX) 43 Statistics (62-XX) 17 Numerical analysis (65-XX) 13 Information and communication theory, circuits (94-XX) 10 Biology and other natural sciences (92-XX) 7 Approximations and expansions (41-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Operations research, mathematical programming (90-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Nonassociative rings and algebras (17-XX) 3 Group theory and generalizations (20-XX) 3 Real functions (26-XX) 3 Measure and integration (28-XX) 3 Functions of a complex variable (30-XX) 3 Special functions (33-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Sequences, series, summability (40-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Convex and discrete geometry (52-XX) 1 Mathematical logic and foundations (03-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX)