Chen, Louis Hsiao-Yun

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 Author ID: chen.louis-hsiao-yun Published as: Chen, Louis H. Y.; Chen, L. H. Y.; Chen, Louis more...less
 Documents Indexed: 47 Publications since 1974, including 1 Book 6 Contributions as Editor Biographic References: 1 Publication Co-Authors: 37 Co-Authors with 33 Joint Publications 835 Co-Co-Authors
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Co-Authors

 20 single-authored 6 Shao, Qi-Man 5 Barbour, Andrew David 4 Xia, Aihua 3 Choi, Kwok Pui 3 Fang, Xiao 3 Röllin, Adrian 2 Goldstein, Larry 2 Lou, Jiann-Hua 1 Accardi, Luigi 1 Goodman, Timothy N. T. 1 Hida, Takeyuki 1 Ho, Soo-Thong 1 Hu, Kaiyuan 1 Hwang, Hsien-Kuei 1 Lai, Choy-Heng 1 Lê Vǎn Thành 1 Lee, Yuhjia 1 Loh, Wei-Liem 1 Ma, Will 1 Natarajan, Karthik 1 Ng, Tze Beng 1 Oh, Choo Hiap 1 Ohya, Masanori 1 Packer, Judith A. 1 Phua, Kok Khoo 1 Poly, Guillaume 1 Raič, Martin 1 Roos, Małgorzata 1 Shih, Hsin-Hung 1 Si, Si 1 Simchi-Levi, David 1 Tan, Eng-Chye 1 Watanabe, Noboru 1 Wicks, M. J. 1 Yan, Zhenzhen 1 Yap, Leonard Y. H. 1 Zacharovas, Vytas
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Serials

 13 The Annals of Probability 5 Bernoulli 3 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 3 Lecture Notes Series. Institute for Mathematical Sciences. National University of Singapore 2 Probability Theory and Related Fields 2 Statistica Sinica 2 Mathematical Medley 1 Mathematics Magazine 1 Acta Mathematica Vietnamica 1 The Annals of Statistics 1 Journal of Multivariate Analysis 1 Operations Research 1 Proceedings of the American Mathematical Society 1 Southeast Asian Bulletin of Mathematics 1 Statistics & Probability Letters 1 The Annals of Applied Probability 1 SIAM Journal on Mathematical Analysis 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Electronic Journal of Probability 1 North-Holland Mathematics Studies 1 Science 1 Probability Surveys 1 Probability and its Applications
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Fields

 47 Probability theory and stochastic processes (60-XX) 12 Statistics (62-XX) 5 General and overarching topics; collections (00-XX) 2 Real functions (26-XX) 2 Numerical analysis (65-XX) 2 Operations research, mathematical programming (90-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Quantum theory (81-XX)

Citations contained in zbMATH Open

40 Publications have been cited 901 times in 640 Documents Cited by Year
Poisson approximation for dependent trials. Zbl 0335.60016
Chen, Louis H. Y.
1975
Normal approximation by Stein’s method. Zbl 1213.62027
Chen, Louis H. Y.; Goldstein, Larry; Shao, Qi-Man
2011
Normal approximation under local dependence. Zbl 1048.60020
Chen, Louis H. Y.; Shao, Qi-Man
2004
Compound Poisson approximation for nonnegative random variables via Stein’s method. Zbl 0765.60015
Barbour, A. D.; Chen, Louis H. Y.; Loh, Wei-Liem
1992
An introduction to Stein’s method. Zbl 1072.62007
2005
An inequality for the multivariate normal distribution. Zbl 0483.60011
Chen, Louis H. Y.
1982
An $$L_p$$ bound for the remainder in a combinatorial central limit theorem. Zbl 0375.60028
Ho, Soo-Thong; Chen, Louis H. Y.
1978
A non-uniform Berry-Esseen bound via Stein’s method. Zbl 0996.60029
Chen, Louis H. Y.; Shao, Qi-Man
2001
Normal approximation for nonlinear statistics using a concentration inequality approach. Zbl 1146.62310
Chen, Louis H. Y.; Shao, Qi-Man
2007
Stein’s method, Palm theory and Poisson process approximation. Zbl 1057.60051
Chen, Louis H. Y.; Xia, Aihua
2004
On the convergence of Poisson binomial to Poisson distributions. Zbl 0276.60024
Chen, Louis H. Y.
1974
From Stein identities to moderate deviations. Zbl 1275.60029
Chen, Louis H. Y.; Fang, Xiao; Shao, Qi-Man
2013
Poincaré-type inequalities via stochastic integrals. Zbl 0549.60019
Chen, Louis H. Y.
1985
Two central limit problems for dependent random variables. Zbl 0364.60049
Chen, Louis H. Y.
1978
Characterization of probability distributions by Poincaré-type inequalities. Zbl 0612.60013
Chen, Louis H. Y.; Lou, J. H.
1987
Compound Poisson approximation for unbounded functions on a group, with application to large deviations. Zbl 0847.60005
Chen, L. H. Y.; Roos, M.
1995
Poisson approximation for unbounded functions. I: Independent summands. Zbl 0826.60024
Barbour, A. D.; Chen, Louis H. Y.; Choi, K. P.
1995
Approximating dependent rare events. Zbl 1284.60110
Chen, Louis H. Y.; Röllin, Adrian
2013
On the error bound in a combinatorial central limit theorem. Zbl 1354.60011
Chen, Louis H. Y.; Fang, Xiao
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
Some asymptotic and large deviation results in Poisson approximation. Zbl 0764.60026
Chen, Louis H. Y.; Choi, K. P.
1992
A short note on the conditional Borel-Cantelli lemma. Zbl 0377.60037
Chen, Louis H. Y.
1978
Stein’s method, Malliavin calculus, Dirichlet forms and the fourth moment theorem. Zbl 1343.60012
Chen, Louis H. Y.; Poly, Guillaume
2015
The central limit theorem and Poincaré-type inequalities. Zbl 0646.60029
Chen, Louis H. Y.
1988
An approximation theorem for convolutions of probability measures. Zbl 0358.60010
Chen, Louis H. Y.
1975
Asymptotic normality of scaling functions. Zbl 1076.41007
Chen, Louis H. Y.; Goodman, Tim N. T.; Lee, S. L.
2004
An approximation theorem for sums of certain randomly selected indicators. Zbl 0322.60020
Chen, Louis H. Y.
1975
Moderate deviations in Poisson approximation: a first attempt. Zbl 1417.60015
Chen, Louis H. Y.; Fang, Xiao; Shao, Qi-Man
2013
On the binary expansion of a random integer. Zbl 0809.60024
Barbour, A. D.; Chen, L. H. Y.
1992
Stein’s method: some perspective with applications. Zbl 1044.60505
Chen, Louis H. Y.
1998
Stein meets Malliavin in normal approximation. Zbl 1322.60028
Chen, Louis H. Y.
2015
Poisson process approximation for dependent superposition of point processes. Zbl 1248.60054
Chen, Louis H. Y.; Xia, Aihua
2011
Stein’s method and applications. A program in honor of Charles Stein. Proceedings of a workshop, Singapore, 28 July – 31 August 2003. Zbl 1094.62017
2005
Poisson process approximation: from Palm theory to Stein’s method. Zbl 1268.60064
Chen, Louis H. Y.; Xia, Aihua
2006
Martingale transform and random Abel-Dini series. Zbl 0434.60030
Chen, Louis H. Y.
1980
Distributionally robust linear and discrete optimization with marginals. Zbl 1496.90046
Chen, Louis; Ma, Will; Natarajan, Karthik; Simchi-Levi, David; Yan, Zhenzhen
2022
A martingale inequality for the square and maximal functions. Zbl 0421.60039
Chen, Louis H. Y.
1979
Probability theory. Proceedings of the 1989 Singapore probability conference, held at the National University of Singapore, June 8-16, 1989. Zbl 0746.00063
1992
Extending the Poisson approximation. Zbl 1226.60030
Chen, Louis H. Y.
1993
On the error bound in the normal approximation for Jack measures. Zbl 1475.60019
Chen, Louis H. Y.; Raič, Martin; Lê Vǎn Thành
2021
Distributionally robust linear and discrete optimization with marginals. Zbl 1496.90046
Chen, Louis; Ma, Will; Natarajan, Karthik; Simchi-Levi, David; Yan, Zhenzhen
2022
On the error bound in the normal approximation for Jack measures. Zbl 1475.60019
Chen, Louis H. Y.; Raič, Martin; Lê Vǎn Thành
2021
On the error bound in a combinatorial central limit theorem. Zbl 1354.60011
Chen, Louis H. Y.; Fang, Xiao
2015
Stein’s method, Malliavin calculus, Dirichlet forms and the fourth moment theorem. Zbl 1343.60012
Chen, Louis H. Y.; Poly, Guillaume
2015
Stein meets Malliavin in normal approximation. Zbl 1322.60028
Chen, Louis H. Y.
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
From Stein identities to moderate deviations. Zbl 1275.60029
Chen, Louis H. Y.; Fang, Xiao; Shao, Qi-Man
2013
Approximating dependent rare events. Zbl 1284.60110
Chen, Louis H. Y.; Röllin, Adrian
2013
Moderate deviations in Poisson approximation: a first attempt. Zbl 1417.60015
Chen, Louis H. Y.; Fang, Xiao; Shao, Qi-Man
2013
Normal approximation by Stein’s method. Zbl 1213.62027
Chen, Louis H. Y.; Goldstein, Larry; Shao, Qi-Man
2011
Poisson process approximation for dependent superposition of point processes. Zbl 1248.60054
Chen, Louis H. Y.; Xia, Aihua
2011
Normal approximation for nonlinear statistics using a concentration inequality approach. Zbl 1146.62310
Chen, Louis H. Y.; Shao, Qi-Man
2007
Poisson process approximation: from Palm theory to Stein’s method. Zbl 1268.60064
Chen, Louis H. Y.; Xia, Aihua
2006
An introduction to Stein’s method. Zbl 1072.62007
2005
Stein’s method and applications. A program in honor of Charles Stein. Proceedings of a workshop, Singapore, 28 July – 31 August 2003. Zbl 1094.62017
2005
Normal approximation under local dependence. Zbl 1048.60020
Chen, Louis H. Y.; Shao, Qi-Man
2004
Stein’s method, Palm theory and Poisson process approximation. Zbl 1057.60051
Chen, Louis H. Y.; Xia, Aihua
2004
Asymptotic normality of scaling functions. Zbl 1076.41007
Chen, Louis H. Y.; Goodman, Tim N. T.; Lee, S. L.
2004
A non-uniform Berry-Esseen bound via Stein’s method. Zbl 0996.60029
Chen, Louis H. Y.; Shao, Qi-Man
2001
Stein’s method: some perspective with applications. Zbl 1044.60505
Chen, Louis H. Y.
1998
Compound Poisson approximation for unbounded functions on a group, with application to large deviations. Zbl 0847.60005
Chen, L. H. Y.; Roos, M.
1995
Poisson approximation for unbounded functions. I: Independent summands. Zbl 0826.60024
Barbour, A. D.; Chen, Louis H. Y.; Choi, K. P.
1995
Extending the Poisson approximation. Zbl 1226.60030
Chen, Louis H. Y.
1993
Compound Poisson approximation for nonnegative random variables via Stein’s method. Zbl 0765.60015
Barbour, A. D.; Chen, Louis H. Y.; Loh, Wei-Liem
1992
Some asymptotic and large deviation results in Poisson approximation. Zbl 0764.60026
Chen, Louis H. Y.; Choi, K. P.
1992
On the binary expansion of a random integer. Zbl 0809.60024
Barbour, A. D.; Chen, L. H. Y.
1992
Probability theory. Proceedings of the 1989 Singapore probability conference, held at the National University of Singapore, June 8-16, 1989. Zbl 0746.00063
1992
The central limit theorem and Poincaré-type inequalities. Zbl 0646.60029
Chen, Louis H. Y.
1988
Characterization of probability distributions by Poincaré-type inequalities. Zbl 0612.60013
Chen, Louis H. Y.; Lou, J. H.
1987
Poincaré-type inequalities via stochastic integrals. Zbl 0549.60019
Chen, Louis H. Y.
1985
An inequality for the multivariate normal distribution. Zbl 0483.60011
Chen, Louis H. Y.
1982
Martingale transform and random Abel-Dini series. Zbl 0434.60030
Chen, Louis H. Y.
1980
A martingale inequality for the square and maximal functions. Zbl 0421.60039
Chen, Louis H. Y.
1979
An $$L_p$$ bound for the remainder in a combinatorial central limit theorem. Zbl 0375.60028
Ho, Soo-Thong; Chen, Louis H. Y.
1978
Two central limit problems for dependent random variables. Zbl 0364.60049
Chen, Louis H. Y.
1978
A short note on the conditional Borel-Cantelli lemma. Zbl 0377.60037
Chen, Louis H. Y.
1978
Poisson approximation for dependent trials. Zbl 0335.60016
Chen, Louis H. Y.
1975
An approximation theorem for convolutions of probability measures. Zbl 0358.60010
Chen, Louis H. Y.
1975
An approximation theorem for sums of certain randomly selected indicators. Zbl 0322.60020
Chen, Louis H. Y.
1975
On the convergence of Poisson binomial to Poisson distributions. Zbl 0276.60024
Chen, Louis H. Y.
1974
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Cited by 672 Authors

 23 Xia, Aihua 20 Barbour, Andrew David 19 Gaunt, Robert Edward 18 Čekanavičius, Vydas 18 Chen, Louis Hsiao-Yun 18 Goldstein, Larry 16 Neammanee, Kritsana 14 Peccati, Giovanni 14 Shao, Qi-Man 13 Röllin, Adrian 13 Sunklodas, Jonas Kazys 12 Ross, Nathan 9 Nourdin, Ivan 9 Reinert, Gesine D. 7 Brown, Timothy C. 7 Chatterjee, Sourav 7 Swan, Yvik C. 6 Fang, Xiao 6 Hung, Tran Loc 6 Işlak, Ümit 6 Novak, Serguei Yu. 6 Papathanasiou, Vassilis 6 Penrose, Mathew D. 6 Privault, Nicolas 6 Vellaisamy, Palaniappan 5 Berckmoes, Ben 5 Cacoullos, Theophilos 5 Daly, Fraser 5 Frolov, Andreĭ Nikolaevich 5 Houdré, Christian 5 Mohtashami Borzadaran, Gholam Reza 5 Peköz, Erol A. 5 Poly, Guillaume 5 Schuhmacher, Dominic 5 Sen, Pranab Kumar 5 Teerapabolarn, Kanint 5 Xu, Lihu 5 Zhang, Zhuo-Song 4 Adell, José Antonio 4 Boutsikas, Michael V. 4 Decreusefond, Laurent 4 Döbler, Christian 4 Goodman, Timothy N. T. 4 Kang, Moonsu 4 Kato, Kengo 4 Kumar, Amit N. 4 Lekuona, Alberto 4 Roos, Bero 4 Schulte, Matthias 4 Wiroonsri, Nathakhun 4 Yang, Xiaochuan 3 Afendras, Georgios 3 Amini-Dehak, Mohammad 3 Arratia, Richard Alejandro 3 Azmoodeh, Ehsan 3 Burden, Conrad John 3 Chaidee, Nattakarn 3 Chen, Peng 3 Chernozhukov, Victor 3 Chetverikov, Denis 3 Coupier, David 3 Erhardsson, Torkel 3 Fu, James C. 3 Fulman, Jason E. 3 Goh, Say Song 3 Goodarzi, Faranak 3 Haydn, Nicolai T. A. 3 Hwang, Hsien-Kuei 3 Johnson, Oliver Thomas 3 Ledoux, Michel 3 Ley, Christophe 3 Mijoule, Guillaume 3 Molenberghs, Geert 3 Pinelis, Iosif Froimovich 3 Raič, Martin 3 Rerkruthairat, Nahathai 3 Sahatsathatsana, Chanokgan 3 Serafin, Grzegorz 3 Shanbhag, Damodar N. 3 Thäle, Christoph 3 Upadhye, Neelesh S. 3 Wilson, Susan R. 3 Zhang, Fuxi 3 Zhou, Wen-Xin 2 Anastasiou, Andreas 2 Aronow, Peter M. 2 Arras, Benjamin 2 Bollobás, Béla 2 Chen, Chingfer 2 Chen, Wei-Kuo 2 Chuntee, Wichairat 2 Conforti, Giovanni 2 Coulson, Matthew 2 Daskalakis, Constantinos 2 Dette, Holger 2 Diaconis, Persi Warren 2 Dümbgen, Lutz 2 Nguyen Tien Dung 2 Durastanti, Claudio 2 Ehm, Werner ...and 572 more Authors
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Cited in 154 Serials

 48 Statistics & Probability Letters 38 Bernoulli 37 The Annals of Probability 36 Stochastic Processes and their Applications 35 The Annals of Applied Probability 30 Lithuanian Mathematical Journal 22 Journal of Theoretical Probability 21 Communications in Statistics. Theory and Methods 20 Probability Theory and Related Fields 15 Advances in Applied Probability 14 The Annals of Statistics 13 Journal of Mathematical Analysis and Applications 13 Electronic Journal of Statistics 12 Journal of Applied Probability 12 Journal of Statistical Planning and Inference 10 Electronic Journal of Probability 9 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 7 Journal of Multivariate Analysis 7 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 6 Theory of Probability and its Applications 6 Proceedings of the American Mathematical Society 6 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 6 Random Structures & Algorithms 6 Probability Surveys 4 Discrete Applied Mathematics 4 Journal of Statistical Physics 4 Acta Mathematica Vietnamica 4 Theoretical Computer Science 4 Computational Statistics and Data Analysis 4 Journal of Mathematical Sciences (New York) 4 Extremes 4 Methodology and Computing in Applied Probability 4 Brazilian Journal of Probability and Statistics 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Science China. Mathematics 3 Journal of Functional Analysis 3 Results in Mathematics 3 Advances in Applied Mathematics 3 Stochastic Analysis and Applications 3 Applications of Mathematics 3 Vestnik St. Petersburg University. Mathematics 3 Applied Mathematics. Series B (English Edition) 3 Combinatorics, Probability and Computing 3 Electronic Communications in Probability 3 Stochastics 3 ALEA. Latin American Journal of Probability and Mathematical Statistics 3 Modern Stochastics. Theory and Applications 2 Information Processing Letters 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Metrika 2 Scandinavian Journal of Statistics 2 Annals of the Institute of Statistical Mathematics 2 Journal of Combinatorial Theory. Series A 2 Semigroup Forum 2 Acta Applicandae Mathematicae 2 Statistics 2 Geometric and Functional Analysis. GAFA 2 Communications in Statistics. Simulation and Computation 2 European Journal of Operational Research 2 Applied and Computational Harmonic Analysis 2 Mathematical Methods of Statistics 2 Advances in Computational Mathematics 2 Journal of Inequalities and Applications 2 Far East Journal of Theoretical Statistics 2 Journal of Applied Statistics 2 Lobachevskii Journal of Mathematics 2 Journal of the Korean Statistical Society 2 Random Matrices: Theory and Applications 2 Matematicheskie Voprosy Kriptografii 1 The American Statistician 1 Archive for Rational Mechanics and Analysis 1 Bulletin of the Australian Mathematical Society 1 Communications in Mathematical Physics 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Physics 1 Mathematical Biosciences 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 Bulletin of Mathematical Biology 1 Chaos, Solitons and Fractals 1 Annales de l’Institut Fourier 1 Biometrics 1 Blätter (Deutsche Gesellschaft für Versicherungsmathematik) 1 Bulletin of the London Mathematical Society 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 International Journal of Game Theory 1 Journal of Algebra 1 Journal of Approximation Theory 1 Journal of Combinatorial Theory. Series B 1 Journal of Econometrics 1 Journal of Soviet Mathematics 1 Siberian Mathematical Journal 1 Transactions of the American Mathematical Society 1 European Journal of Combinatorics 1 Mathematical Social Sciences 1 Insurance Mathematics & Economics 1 Probability and Mathematical Statistics 1 Bulletin of the Iranian Mathematical Society 1 Algorithmica ...and 54 more Serials
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Cited in 32 Fields

 522 Probability theory and stochastic processes (60-XX) 233 Statistics (62-XX) 61 Combinatorics (05-XX) 23 Biology and other natural sciences (92-XX) 19 Statistical mechanics, structure of matter (82-XX) 15 Numerical analysis (65-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 13 Real functions (26-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 10 Special functions (33-XX) 10 Computer science (68-XX) 9 Number theory (11-XX) 9 Operator theory (47-XX) 9 Operations research, mathematical programming (90-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Approximations and expansions (41-XX) 7 Information and communication theory, circuits (94-XX) 6 Functional analysis (46-XX) 5 Measure and integration (28-XX) 5 Partial differential equations (35-XX) 3 History and biography (01-XX) 3 Functions of a complex variable (30-XX) 3 Convex and discrete geometry (52-XX) 3 Quantum theory (81-XX) 2 Group theory and generalizations (20-XX) 2 Ordinary differential equations (34-XX) 2 Systems theory; control (93-XX) 1 Associative rings and algebras (16-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX)