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List of Publications for Bai Zhidong

A. Significant articles

1. Bai, Z. D., Chao, C. C., Hwang, H. K. and Liang, W. Q. (1998) On the variance of the number of Maxima in
random vectors and its applications. The Annals of Applied Probab. Vol. 8, No. 3, 886-895.
2. Z. D. Bai and J. W. Silverstein (1998) No eigenvalues outside the support of the limiting spectral distribution of large
dimensional sample covariance matrices. Ann. Probab. Vol. 26, No. 1, 316-345.
3. Zhao, L. C., Bai, Z. D., Chao, C. C. and Liang, W. Q. (1997) Error bound in a central limit theorem of double
indexed permutation statistics. Annals of Statistics. Vol. 25, No. 5, 2210--2227.
4. Z. D. Bai (1997) Circular Law. The Ann. of Probab. Vol. 25, No. 1, 494-529.
5. Bai, Z. D. (1993) Convergence rate of Expected spectral distributions of large random matrices. Part I. Wigner
Matrices. Ann. Probab. Vol. 21, No. 2, 625-648.
6. Bai, Z. D. (1993) Convergence rate of expected spectral distributions of large random matrices. Part II. Sample
Covariance Matrices. Ann. Probab. Vol. 21, No. 2, 649-672.
7. Bai, Z. D., Yin, Y. Q. (1993) Limit of the smallest eigenvalue of large dimensional covariance matrix. Ann. Probab.
Vol. 21, No. 3, 1275-1294.
8. Bai, Z. D. and Rao, C. R. (1991) Edgeworth expansion of a function of sample means. Ann. Stat. , Vol. 19, No. 3,
1295-1315.
9. Bai, Z. D., Chow, Mosuk (1991) Inadmissibility of the maximum likelihood estimator in the sequential estimation of
the size of a population. Biometrika , Vol. 78, No. 4, pp 817-823.
10. Bai, Z. D., Chen, X. R., Krishnaiah, P. R., Wu, Y. H. and Zhao, L. C. (1991) Strong consistency of maximum
likelihood parameter estimation of superimposed exponential signals in noise. Teor. Veroyatnostei i ee Premen. Vol.
36, No. 2, 392-397. Or Theory of Probability and its Applications , Vol. 36, 2, 349-355 (English Edition).
11. Bai, Z. D., Krishnaiah, P. R., Rao, C. R., Reddy, C. S. Sun, Y. N. and Zhao, L. C. (1989) Reconstruction of the left
ventricle from two orthogonal projections. Computer Vision, Graphics, Image Processing , Vol. 47, 165-188.
12. Bai, Z. D. (1989) A theorem of Feller revisited. Ann. Probab. , Vol. 17, No. 1, 385-395.
13. Bai, Z. D., Krishnaiah, P. R., Rao, C. R., Sun, Y. N. and Zhao, L. C. (1989) Reconstruction of the shape and size of
objects from two orthogonal projections. Math. Comput. Modeling , Vol. 12, No. 3, 267-275.
14. Yin, Y. Q., Bai, Z. D. and Krishnaiah, P. R. (1988) On the limit of the largest eigenvalue of the large dimensional
sample covariance matrix. Probab. Theory and Rel. Fields , Vol. 78, 509-521.
15. Bai, Z. D. and Yin, Y. Q. (1988) Convergence to the semicircle law. Ann. Probab. , Vol. 16, No. 2, 863-875.
16. Bai, Z. D. and Yin, Y. Q. (1988) Necessary and sufficient conditions for almost sure convergence of the largest
eigenvalue of Wigner matrix. Ann. Probab. , Vol 16, 4, 1729-1741.
17. Bai, Z. D. and Yin, Y. Q. (1986). Limiting behavior of the norm of products of random matrices and two problems of
Geman-Hwang. Probab. Theory and Rel. Fields , Vol. 73, 555-569.
18. Bai, Z. D. and Zhao L. C. (1985). Asymptotic expansions of sums of independent random variables. Scientia Sinica
, Vol. 28, No. 8, 677-697 (Chinese version); Vol. 29, No. 1, 1-22 (1986, English version).
19. Bai, Z. D. and Yin, Y. Q. (1983). On class La distributions. J. Multivariate Anal. , Vol. 14, No. 3, 285-299.
20. Yin, Y. Q., Bai, Z. D. and Krishnaiah, P. R. (1983). Limiting behaviour of the eigenvalues of a multivariate F-matrix.
J. Multivariate Anal. , Vol. 13, 508-516.
21. Bai, Z. D. and Su, C. (1982) The solution of a problem posed by Linnik and Ostrovski. Scientia Sinica, Vol. 27,
No. 7, 680-692.
22. Bai, Z. D. (1982). A negative answer to a question of Linnik and Ostrovski's. Kexue Tongbao, Vol. 27, No. 12,
1259-1261.
23. Bai, Zhidong and Su, Chun (1980). On the Lebesgue decomposition of the multidimensional infinitely divisible
distributions. The Journal of China University of Science and Technology, (hereafter JCUST Vol. 10, No. 4,
76-95.

B. Articles with General Importance

24. Bai,Z. D. and Cheng, P. E. (2000) Marcinkiewicz strong law for linear statistics. Stat. & Probab. Letters, 46,
105-112.
25. Z. D. Bai and M. N. L. Huang (1999) On consistency of the Best-r-Points-Average estimator of the maximizer of a
nonparametric regression function. Accepted by Sankhya Ser. 61, Ser. A . Pt. 2, 208-217.
26. Bai, Z. D., Kundu, Debasis and Mitra, Amit (1999) A note on the consistency of multidimensional exponential signals.
Sankhya, Ser. A 61, No. 2, 270--275.
27. Bai, Z. D., Rao, C. R., Wu, Y., Zen, M. M. and Zhao, L. C. (1999) The simultaneous estimation of the number of
signals and frequencies of multiple sinusoids when some observations are missing: I. Asymptotics. Proceedings of the
National Academy of Sciences of USA, Vol. 96, No. 20, 11106-11110.
28. Z. D. Bai (1999) Methodologies in spectral analysis of large dimensional random matrices, A review. Statistica
Sinica, 9, No. 3, pp 611-677.
29. Bai, Z. D., Miao, B. Q. and Tsay, J. (1999) Remarks on the convergence rate of the spectral distributions of Wigner
matrices. J. Theoret. Probab. 12, No. 2, 301--311.
30. Guo, M. H., Bai, Z. D. and An, H. Z. (1999) Multi-step prediction for nonlinear autoregressive models based on
empirical distribution. Statistica Sinica, 9, No. 2, 559-570.
31. Bai, Z., Rao, C. R. and Wu, Y. (1999) Model selection with data-oriented penalty. J. Statist. Inference and
Planning, 77, No. 1, 103--117.
32. Bai, Z. D. and Hu, Feifang (1999) Asymptotic theorems for urn models with nonhomogeneous generating matrices.
Stochastic Processes and their applications, Vol. 80, 87-101.
33. Bai, Z. D. and Guo, M. H. (1999) A paradox in least squares estimation of linear regression models. Statist. and
Probab. Letters, Vol. 42, 167-174.
34. Bai, Z. D., Hwang, H. K. and Liang, W. Q. (1998) Normal approximation of the number of records in geometrically
distributed random variables. Random Structures and Algorithms, Vol. 13, 319-334.
35. Li, Z. C. and Bai, Z. D. (1998) Probabilistic analysis on the splitting-shooting method for image transformations. J. of
Computational and Applied Mathematics . Vol. 94, 69-121.
36. Bai, Z. D. and Wu, Y. (1997) General M-estimation. J. Multivariate Anal. Vol. 63, No. 1, 119-135.
37. Bai, Z. D., P. E. Cheng and C. H. Zhang (1997) An extension of the Hardy-Littlewood strong law. Statistica Sinica
, Vol. 7, No. 4, 923-928.
38. Bai, Z. D. and Wu, Y. (1997) On necessary conditions for the weak consistency of minimum L1-norm estimates in
linear models. Statist. and Probab. Letters, Vol. 34, No. 2, 193-200.
39. Z. D. Bai, B. Q. Miao and J. Tsay (1997) A note on the convergence rate of the spectral distributions of large
dimensional random matrices. Statist. and Probab. Letters, Vol. 34, No. 1, 95-102.
40. M. H. Guo, M. N. L. Huang, Z. D. Bai, H. T. Chen and K. S Hsieh (1997) Statistical analysis and modelling of PR
intervals of ECG. J. Chin. Stat. Assoc. Vol. 35, No. 1, 1-25.
41. Z. D. Bai, S. K. Sarkar and Wenjin Wang (1997) Positivity of the best unbiased L -estimator of the scale parameter
with complete or selected order statistics from location scale distributions. Statist. and Probab. Letters, Vol. 32,
181-188.
42. Kundu, Debasis, Bai, Z. D. and Mitra, Amit (1996) A theorem in probability and its applications in multidimensional
signal processing. IEEE Transactions of Signal Processing, Vol. 44, 12, pp.3167-3169.
43. Z. D. Bai, S. K. Sarkar and Wenjin Wang (1996) Some new results on covariances involving order statistics from
dependent random variables. J. of Multivariate Anal. , Vol., Vol. 59, No. 2, 308-316.
44. G. J. Babu and Z. D. Bai (1996) Mixtures of global and local Edgeworth expansions and their applications. J. of
Multivariate Anal. , Vol. 59, No. 2, 282-306.
45. Z. D. Bai and Saranadasa, H. (1996, April) Effect of high dimension: by an example of a two-sample problem.
Statistica Sinica , Vol. 6, 311-329.
46. P. E. Cheng and Z. D. Bai (1995) Optimal strong convergence rates in nonparametric regression. Math. Method of
Statist. Vol. 4, No. 4, 405-420.
47. Z. D. Bai (1995) Spectral analysis of large dimensional matrices. J. Chin. Stat. Assoc. , Vol. 33, No. 2, 299-317.
48. J. W. Silverstein and Z. D. Bai (1995) On the empirical distribution of eigenvalues of a class of large dimensional
random matrices. J. of Multivariate Anal. , Vol. 54, No. 2, 175-192.
49. Z. D. Bai and Y. H. Wu (1994) Limiting behaviour of M-estimators of regression coefficients in high dimensional
linear models. I. Scale- dependent case. J. of Multivariate Anal. , Vol. 51, No. 2, 211-239.
50. Z. D. Bai and Y. H. Wu (1994) Limiting behaviour of M-estimators of regression coefficients in high dimensional
linear models. II. Scale-invariant case. J. of Multivariate Anal. , Vol. 51, No. 2, 240-251.
51. Bai, Z. D. and Wu, Y. H. (1993) Recursive algorithm for regression coefficients and scatter parameters in linear
models. Sankhya , Ser (B), Vol. 55, Pt. 2, 199-218.
52. Bai, Z. D., Rao, C. R. and Zhao, L. C. (1993) MANOVA type tests under M-theory for the standard multivariate
linear model. Journal of Statistical Planning and Inference , Vol. 36, 77-90.
53. Babu, G. J. and Bai, Z. D. (1993) Edgeworth expansions of a function of sample means under minimal moment
conditions and partial Cram