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Louis H. Y. CHEN 陈晓云

Selected Publications

Papers

  1. (With Yuh-Jia Lee and Hsin-Hung Shih) Normal approximation for white noise functionals by Stein's method and Hida calculus. In: L. Accardi, L. H. Y. Chen, T. Hida, M. Ohya, Si Si and N. Watanabe (eds.), White Noise Analysis and Quantum Information, Lecture Notes Series No. 34, pp. 61-95, Institute for Mathematical Sciences, National University of Singapore, World Scientific, 2017. (PDF)
  2. Stein meets Malliavin in normal approximation. Acta Math. Vietnam. 40 (2015), 205-230. (PDF).
  3. (With Xiao Fang) On the error bound in a combinatorial central limit theorem. Bernoulli 21 (2015), 335-359. (PDF).
  4. (with Guillaume Poly) Stein's method, Malliavin calculus, Dirichlet forms and the fourth moment theorem. In: Z-Q Chen, N. Jacob, M. Takeda and T. Uemura (eds.), Festschrift Masatoshi Fukushima, Interdisciplinary Mathematical Sciences Vol. 17, pp. 107-130, World Scientific, 2015. (PDF).
  5. (With Andrew D. Barbour) Stein's (magic) method. (arXiv:1411.1179 (2014)).
  6. (with Hsien-Kuei Hwang and Vytas Zacharovas) Distribution of the sum-of-digits function of random integers: A survey. Probab Surv. 11 (2014), 177-236. (PDF).
  7. (With Xiao Fang and Qi-Man Shao) Moderate deviations in Poisson approximation: a first attempt. Statist. Sinica. 23 (2013), 1523-1540. (PDF).
  8. (With Adrian Röllin) Approximating dependent rare events. Bernoulli 19 (2013), 1243-1267. (PDF)
  9. (With Xiao Fang and Qi-Man Shao) From Stein identities to moderate deviations. Ann. Probab. 41 (2013), 262-293. (PDF)
  10. (With Aihua Xia) Poisson process approximation for dependent superposition of point processes. Bernoulli 17 (2011), 530–544. (PDF).
  11. (With Hock Peng Chan and Nancy Ruonan Zhang) Importance sampling of word patterns in DNA and protein sequences. J. Computat. Bio.17 (2010), 1697-1709. (PDF).
  12. (With Qi-Man Shao) Normal approximation for nonlinear statistics using a concentration inequality approach. Bernoulli 13 (2007), 581-599. (PDF, Long version PDF).
  13. (With Aihua Xia) Poisson process approximation: from Palm theory to Stein’s method. In: H. C. Ho, C. K. Ing and T. L. Lai (eds.), Time Series and Related Topics, IMS Lecture Notes Monograph Series Vol. 52, pp. 236-244, Institute of Mathematical Statistics, Beachwood, Ohio, 2006. (PDF)
  14. (With Ming-Ying Leung, K. P Choi and Aihua Xia) Nonrandom clusters of palindromes in herpesvirus genomes. J. Computat. Bio. 12 (2005), 331-354. (PDF)
  15. (With A. D. Barbour) The permutation distribution of matrix correlation statistics. In: A. D. Barbour and L. H. Y. Chen (eds.), Stein's Method and Applications, Lecture Notes Series No. 5, pp. 223-245, Institute for Mathematical Sciences, National University of Singapore, Singapore University Press and World Scientific, 2005. (PDF) (Copyright (2005) Singapore University Press and World Scientific Publishing)
  16. (With Qi-Man Shao) Stein's method for normal approximation. In: A. D. Barbour and L. H. Y. Chen (eds.), An Introduction to Stein's Method, Lecture Notes Series No. 4, pp. 1-59, Institute for Mathematical Sciences, National University of Singapore, Singapore University Press and World Scientific, 2005. (PDF) (Copyright (2005) Singapore University Press and World Scientific Publishing)
  17. (With T. N. T. Goodman and S. L. Lee) Asymptotic normality of scaling functions. SIAM J. Math. Anal. 36 (2004), 323-346. (PDF)
  18. (With Aihua Xia) Stein's method, Palm theory and Poisson process approximation. Ann. Probab. 32 (2004), 2545-2569. (PDF)
  19. (With Qi-Man Shao) Normal approximation under local dependence. Ann. Probab. 32 (2004), 1985-2028. (PDF)
  20. (With Qi-Man Shao) A non-uniform Berry-Esseen bound via Stein's method. Probab. Theory and Relat. Fields 120 (2001), 236-254. (PDF)
  21. Non-uniform bounds in probability approximations using Stein's method. In: Ch. A. Charalambides, M. V. Koutras and N. Balakrishnan (eds.), Probability and Statistical Models with Applications: A Volume in Honor of Theophilos Cacoullos, pp. 3-14, Chapman & Hall/CRC Press, Boca Raton, Florida, 2000.
  22. Stein's method: some perspectives with applications. In: L. Accardi and C. C. Heyde (eds.), Probability Towards 2000, Lecture Notes in Statistics No. 128, pp. 97-122, Springer, New York, 1998.
  23. (With M. Roos) Compound Poisson approximation for unbounded functions on a group, with application to large deviations. Probab. Theory and Relat. Fields 103 (1995), 515-528.
  24. (With A. D. Barbour and K. P. Choi) Poisson approximation for unbounded functions, I: independent summands. Statist. Sinica 5 (1995), 749-766.
  25. Extending the Poisson approximation. Science 262 (1993), 379-380.
  26. (With K. P. Choi) Some Asymptotic and large deviation results in Poisson approximation. Ann. Probab. 20 (1992), 1867-1876.
  27. (With A. D. Barbour and W. L. Loh) Compound Poisson approximation for nonnegative random variables via Stein's method. Ann. Probab. 20 (1992), 1843- 1866.
  28. (With A. D. Barbour) On the binary expansion of a random integer, Statist. Probab. Lett. 14 (1992), 235-241.
  29. Comment on "Poisson approximation and the Chen-Stein method" by R. Arratia, L. Goldstein and L. Gordon. Statist. Sci. 5 (1990), 429-432.
  30. The central limit theorem and Poincare-type inequalities. Ann. Probab. 16 (1988), 300-304.
  31. (With J. H. Lou) Characterization of probability distributions by Poincaré-type inequalities. Ann. Inst. H. Poincaré Sect. B (N.S.) 23 (1987), 91-110.
  32. The rate of convergence in a central limit theorem for dependent random variables with arbitrary index set. IMA Preprint Series #243, Univ. Minnesota, 1986.(PDF)
  33. Poincaré-type inequalities via stochastic integrals. Z. Wahrsch. Verw. Gebiete. 69 (1985), 251-277.
  34. An inequality for the multivariate normal distribution, J. Multivariate Anal. 12 (1982), 306-315.
  35. Martingale convergence via the square function. Proc. Amer. Math. Soc. 83 (1981), 125-127.
  36. Martingale transform and random Abel-Dini series. Ann. Probab. 8 (1980), 475-482.
  37. A martingale inequality for the square and maximal functions. Ann. Probab. 7 (1979), 1051-1055.
  38. Two central limit problems for dependent random variables. Z. Wahrsch. Verw. Gebiete. 43 (1978), 223-243. (PDF)
  39. A short note on the conditional Borel-Cantelli lemma, Ann. Probab. 6 (1978), 699-700.
  40. (With S. T. Ho) An Lp bound for the remainder in a combinatorial central limit theorem. Ann. Probab. 6 (1978), 231-249.
  41. An approximation theorem for convolutions of probability measures. Ann. Probab. 3 (1975), 992-999.
  42. An approximation theorem for sums of certain randomly selected indicators. Z. Wahrsch. Verw. Gebiete. 33 (1975), 69-74.
  43. Poisson approximation for dependent trials. Ann. Probab. 3 (1975), 534-545. (PDF)
  44. On the convergence of Poisson binomial to Poisson distributions, Ann. Probab. 2 (1974), 178-180.

Book authored

  1. (With Larry Goldstein and Qi-Man Shao) Normal Approximation by Stein's Method, Probability and Its Applications, Springer, Heidelberg, 2011, 405 pp.

Books edited

  1. (With A. D. Barbour, eds.) Stein's Method and Applications, Lecture Notes Series, Vol. No.5, Institute for Mathematical Sciences, National University of Singapore, Singapore University Press and World Scientific, 2005, 297 pp.
  2. (With A. D. Barbour, eds.) An Introduction to Stein's Method, Lecture Notes Series, Vol. No.4, Institute for Mathematical Sciences, National University of Singapore, Singapore University Press and World Scientific, 2005, 225 pp.
  3. (With J. Jesudason, C. H. Lai, C. H. Oh, K. K. Phua and E. C. Tan, eds.) Challenges for the 21st century, International Conference on Fundamental Sciences: Mathematics and Physics (ICFS 2000), World Scientific, 2001, 508 pp.
  4. (With K. P. Choi, K. Hu and J. H. Lou, eds.) Probability Theory: Proceedings of the 1989 Singapore Probability Conference held at the National University of Singapore, June 8-16, 1989, Walter de Gruyter, Berlin, 1992, 208 pp.
  5. (With T. B. Ng and M. J. Wicks, eds.) Proceedings of International Mathematical Conference, Singapore 1981, North-Holland Pub. Co., Amsterdam, 1982, 202 pp

Articles and reports

  1. Institute for Mathematical Sciences: A dream come true. In: B T G Tan, Hock Lim and K K Phua (eds.), 50 Years of Science in Singapore, Chapter 17, pp. 269 - 284, World Scientific, 2016. (PDF)
  2. (With Wei-Liem Loh) Charles Stein honored on his 90th birthday. Imprints, Issue 16 (June 2010), pp. 5 - 6. (PDF) ; IMS Bulletin 39, Issue 6 (July 2010), p. 11. (PDF)
  3. (With Anthony Kuk) World Congress in Probability and Statistics. IMS Bulletin 37, Issue 8 (October 2008), p. 6. (PDF) ; Imprints, Issue 13 (October 2008), pp. 1 - 2. (PDF)
  4. Connecting China. IMS Bulletin 37, Issue 5 (June 2008), p. 5. (PDF)
  5. (With Jean-François Le Gall) A probability-rich ICM reviewed. IMS Bulletin 36, Issue 2 (March 2007), p. 5. (PDF); Imprints, Issue 10 (March 2007), pp. 1 - 2. (PDF)

 

 

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