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## Chen, Louis Hsiao-Yun

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 Author ID: chen.louis-hsiao-yun Published as: Chen, L. H. Y.; Chen, Louis H. Y.
 Documents Indexed: 50 Publications since 1974, including 7 Books Biographic References: 1 Publication
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#### Co-Authors

 19 single-authored 6 Shao, Qi-Man 5 Barbour, Andrew D. 3 Choi, Kwok Pui 3 Fang, Xiao 3 Xia, Aihua 2 Goldstein, Larry 2 Lou, Jiann-Hua 2 Röllin, Adrian 1 Accardi, Luigi 1 Goodman, Timothy N. T. 1 Hida, Takeyuki 1 Ho, Soo-Thong 1 Hu, Kaiyuan 1 Hwang, Hsien-Kuei 1 Lai, Canhai 1 Lee, Shyi-Long 1 Lee, Yuh-Jia 1 Loh, Wei-Liem 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 Tan, Eng-Chye 1 Thanh, Le Van 1 Watanabe, Noboru 1 Wicks, M. J. 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 Journal of Multivariate Analysis 1 Proceedings of the American Mathematical Society 1 Southeast Asian Bulletin of Mathematics 1 Statistics & Probability Letters 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

 45 Probability theory and stochastic processes (60-XX) 10 Statistics (62-XX) 5 General and overarching topics; collections (00-XX) 2 Real functions (26-XX) 2 Numerical analysis (65-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) 1 Operations research, mathematical programming (90-XX)

#### Citations contained in zbMATH Open

39 Publications have been cited 769 times in 549 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
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
Normal approximation under local dependence. Zbl 1048.60020
Chen, Louis H. Y.; Shao, Qi-Man
2004
An introduction to Stein’s method. Zbl 1072.62007
Barbour, A. D. (ed.); Chen, Louis H. Y. (ed.)
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
On the convergence of Poisson binomial to Poisson distributions. Zbl 0276.60024
Chen, Louis H. Y.
1974
Stein’s method, Palm theory and Poisson process approximation. Zbl 1057.60051
Chen, Louis H. Y.; Xia, Aihua
2004
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
Two central limit problems for dependent random variables. Zbl 0364.60049
Chen, Louis H. Y.
1978
From Stein identities to moderate deviations. Zbl 1275.60029
Chen, Louis H. Y.; Fang, Xiao; Shao, Qi-Man
2013
Poisson approximation for unbounded functions. I: Independent summands. Zbl 0826.60024
Barbour, A. D.; Chen, Louis H. Y.; Choi, K. P.
1995
Compound Poisson approximation for unbounded functions on a group, with application to large deviations. Zbl 0847.60005
Chen, L. H. Y.; Roos, M.
1995
Approximating dependent rare events. Zbl 1284.60110
Chen, Louis H. Y.; Röllin, Adrian
2013
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
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
Asymptotic normality of scaling functions. Zbl 1076.41007
Chen, Louis H. Y.; Goodman, Tim N. T.; Lee, S. L.
2004
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
An approximation theorem for sums of certain randomly selected indicators. Zbl 0322.60020
Chen, Louis H. Y.
1975
On the error bound in a combinatorial central limit theorem. Zbl 1354.60011
Chen, Louis H. Y.; Fang, Xiao
2015
Poisson process approximation for dependent superposition of point processes. Zbl 1248.60054
Chen, Louis H. Y.; Xia, Aihua
2011
Stein’s method: some perspective with applications. Zbl 1044.60505
Chen, Louis H. Y.
1998
On the binary expansion of a random integer. Zbl 0809.60024
Barbour, A. D.; Chen, L. H. Y.
1992
Stein meets Malliavin in normal approximation. Zbl 1322.60028
Chen, Louis H. Y.
2015
Moderate deviations in Poisson approximation: a first attempt. Zbl 1417.60015
Chen, Louis H. Y.; Fang, Xiao; Shao, Qi-Man
2013
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
Barbour, A. D. (ed.); Chen, Louis H. Y. (ed.)
2005
On the error bound in the normal approximation for Jack measures. Zbl 07282857
Chen, Louis H. Y.; Raič, Martin; Thành, Lê Vǎn
2021
Poisson process approximation: from Palm theory to Stein’s method. Zbl 1268.60064
Chen, Louis H. Y.; Xia, Aihua
2006
Extending the Poisson approximation. Zbl 1226.60030
Chen, Louis H. Y.
1993
Probability theory. Proceedings of the 1989 Singapore probability conference, held at the National University of Singapore, June 8-16, 1989. Zbl 0746.00063
Chen, Louis H. Y. (ed.); Choi, Kwok Pui (ed.); Hu, Kaiyuan (ed.); Lou, Jiann-Hua (ed.)
1992
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
On the error bound in the normal approximation for Jack measures. Zbl 07282857
Chen, Louis H. Y.; Raič, Martin; Thành, Lê Vǎn
2021
Stein’s method, Malliavin calculus, Dirichlet forms and the fourth moment theorem. Zbl 1343.60012
Chen, Louis H. Y.; Poly, Guillaume
2015
On the error bound in a combinatorial central limit theorem. Zbl 1354.60011
Chen, Louis H. Y.; Fang, Xiao
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
Barbour, A. D. (ed.); Chen, Louis H. Y. (ed.)
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
Barbour, A. D. (ed.); Chen, Louis H. Y. (ed.)
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
Poisson approximation for unbounded functions. I: Independent summands. Zbl 0826.60024
Barbour, A. D.; Chen, Louis H. Y.; Choi, K. P.
1995
Compound Poisson approximation for unbounded functions on a group, with application to large deviations. Zbl 0847.60005
Chen, L. H. Y.; Roos, M.
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
Chen, Louis H. Y. (ed.); Choi, Kwok Pui (ed.); Hu, Kaiyuan (ed.); Lou, Jiann-Hua (ed.)
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 602 Authors

 22 Xia, Aihua 20 Barbour, Andrew D. 18 Goldstein, Larry 16 Chen, Louis Hsiao-Yun 15 Čekanavičius, Vydas 14 Gaunt, Robert Edward 14 Neammanee, Kritsana 12 Peccati, Giovanni 12 Sunklodas, Jonas Kazys 11 Ross, Nathan 11 Shao, Qi-Man 10 Röllin, Adrian 9 Papathanasiou, Vassilis 9 Reinert, Gesine D. 8 Swan, Yvik C. 7 Brown, Timothy C. 7 Chatterjee, Sourav 7 Fang, Xiao 7 Işlak, Ümit 7 Nourdin, Ivan 6 Penrose, Mathew D. 5 Berckmoes, Ben 5 Cacoullos, Theophilos 5 Hung, Tran Loc 5 Novak, Serguei Yu. 5 Schuhmacher, Dominic 5 Sen, Pranab Kumar 5 Teerapabolarn, Kanint 4 Adell, José Antonio 4 Boutsikas, Michael V. 4 Daly, Fraser 4 Decreusefond, Laurent 4 Döbler, Christian 4 Goodman, Timothy N. T. 4 Houdré, Christian 4 Kang, Moonsu 4 Lekuona, Alberto 4 Ley, Christophe 4 Mohtashami Borzadaran, Gholam Reza 4 Peköz, Erol A. 4 Poly, Guillaume 4 Privault, Nicolas 4 Zhang, Fuxi 3 Afendras, Georgios 3 Burden, Conrad John 3 Chaidee, Nattakarn 3 Chernozhukov, Victor 3 Chetverikov, Denis 3 Coupier, David 3 Diaconis, Persi Warren 3 Frolov, Andrei N. 3 Fu, James C. 3 Goh, Say Song 3 Haydn, Nicolai T. A. 3 Hwang, Hsien-Kuei 3 Johnson, Oliver Thomas 3 Kato, Kengo 3 Ledoux, Michel 3 Mijoule, Guillaume 3 Molenberghs, Geert 3 Papadatos, Nickos 3 Pinelis, Iosif Froimovich 3 Raič, Martin 3 Rerkruthairat, Nahathai 3 Roos, Bero 3 Schulte, Matthias 3 Shanbhag, Damodar N. 3 Thäle, Christoph 3 Vellaisamy, Palaniappan 3 Wilson, Susan R. 3 Wiroonsri, Nathakhun 2 Aldous, David John 2 Amini-Dehak, Mohammad 2 Arras, Benjamin 2 Arratia, Richard Alejandro 2 Azmoodeh, Ehsan 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 Dümbgen, Lutz 2 Durastanti, Claudio 2 Ehm, Werner 2 Erhardsson, Torkel 2 Frolov, A. N. 2 Fulman, Jason E. 2 Giang, Le Truong 2 Goodarzi, Faranak 2 Gudynas, P. P. 2 Hafouta, Yeor 2 Heinrich, Lothar 2 Hwang, Chii-Ruey 2 Janson, Svante 2 Jiang, Tiefeng 2 Jiao, Ying 2 Jirak, Moritz ...and 502 more Authors
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#### Cited in 131 Serials

 45 Statistics & Probability Letters 36 The Annals of Probability 35 Stochastic Processes and their Applications 31 Bernoulli 29 Lithuanian Mathematical Journal 28 The Annals of Applied Probability 20 Probability Theory and Related Fields 17 Communications in Statistics. Theory and Methods 16 Journal of Theoretical Probability 13 Advances in Applied Probability 11 Journal of Applied Probability 11 Journal of Statistical Planning and Inference 10 Journal of Mathematical Analysis and Applications 10 The Annals of Statistics 10 Electronic Journal of Statistics 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 7 Electronic Journal of Probability 6 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 6 Random Structures & Algorithms 5 Theory of Probability and its Applications 5 Journal of Functional Analysis 5 Proceedings of the American Mathematical Society 5 Probability Surveys 4 Discrete Applied Mathematics 4 Journal of Statistical Physics 4 Advances in Applied Mathematics 4 Journal of Mathematical Sciences (New York) 4 Extremes 4 Brazilian Journal of Probability and Statistics 4 Science China. Mathematics 3 Acta Mathematica Vietnamica 3 Theoretical Computer Science 3 Stochastic Analysis and Applications 3 Computational Statistics and Data Analysis 3 Vestnik St. Petersburg University. Mathematics 3 Combinatorics, Probability and Computing 3 Electronic Communications in Probability 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 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 Results in Mathematics 2 Semigroup Forum 2 Acta Applicandae Mathematicae 2 Statistics 2 Applications of Mathematics 2 Geometric and Functional Analysis. GAFA 2 Communications in Statistics. Simulation and Computation 2 Applied Mathematics. Series B (English Edition) 2 Applied and Computational Harmonic Analysis 2 Mathematical Methods of Statistics 2 Advances in Computational Mathematics 2 Journal of Inequalities and Applications 2 Methodology and Computing in Applied Probability 2 Lobachevskii Journal of Mathematics 2 Random Matrices: Theory and Applications 2 Modern Stochastics. Theory and Applications 1 Archive for Rational Mechanics and Analysis 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 Approximation Theory 1 Journal of Combinatorial Theory. Series B 1 Journal of Econometrics 1 Journal of Soviet Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 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 Algorithmica 1 SIAM Journal on Discrete Mathematics 1 Discrete Mathematics and Applications 1 Discrete Event Dynamic Systems 1 Games and Economic Behavior 1 European Journal of Operational Research 1 Journal of Statistical Computation and Simulation 1 Proceedings of the National Academy of Sciences of the United States of America 1 Bulletin of the American Mathematical Society. New Series 1 Potential Analysis 1 SIAM Journal on Scientific Computing 1 Statistical Papers 1 Turkish Journal of Mathematics ...and 31 more Serials
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#### Cited in 30 Fields

 461 Probability theory and stochastic processes (60-XX) 190 Statistics (62-XX) 51 Combinatorics (05-XX) 19 Biology and other natural sciences (92-XX) 17 Statistical mechanics, structure of matter (82-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 14 Numerical analysis (65-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 9 Real functions (26-XX) 8 Number theory (11-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Information and communication theory, circuits (94-XX) 7 Special functions (33-XX) 7 Approximations and expansions (41-XX) 7 Operator theory (47-XX) 6 Computer science (68-XX) 6 Operations research, mathematical programming (90-XX) 5 Partial differential equations (35-XX) 5 Functional analysis (46-XX) 4 Measure and integration (28-XX) 3 History and biography (01-XX) 2 Convex and discrete geometry (52-XX) 2 Quantum theory (81-XX) 2 Systems theory; control (93-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Manifolds and cell complexes (57-XX)