Basic information

Tien-Chung, Hu was born in 1955.Taiwan, Republic of China.

Professor, Department of Mathematics, Tsing Hua University.

Education

1992 Ph. D. (Statistics) University of Georgia, GA, U.S.A.

1979 M.S. (Mathematics) National Central University, Chungli, Tiawan

1977 B.S. (Mathematics) National Central University, Chungli, Taiwan

Publications


  1. Taylor, R. L. and Hu Tien-Chung, (1987). Strong Laws of Large Numbers for Arrays of Rowwise Independent Random Elements. Internat. J. Math. & Math. Sci., 10, 805-814
  2. Taylor, R. L. and Hu, Tien-Chung, (1987). Sub-Gaussian Techniques in Proving Strong Laws of Large Numbers. American Math. Monthly, 94, 295-299
  3. Taylor, R. L. and Hu, Tien-Chung, (1987). On the Laws of Large Numbers for Exchangeable Random Variables. Stochastic Analysis and Applications, 5, 323-334
  4. Taylor R. L. and Hu, Tien-Chung, (1987). Consistency of Kernel Density Estimators and Laws of Large Numbers in . Mathematical Statistics and Probability Theory, Vol. A. (Edited by Puri, M. L., Revesz, P., and Wertz, W.) D. Reidel Publishing Company, 253-266
  5. Hu, Tien-Chung, (1988). A Statistical Method of Approach of Stirling’s Formula. American Statistician, 42, 204-205
  6. Hu, Tien-Chung, Moricz, M., and Taylor, R. L., (1989). Strong Laws of Large Numbers for Arrays of Rowwise Independent Random Variables. ACTA Mathematica Hungarica, 54, 153-162
  7. Hu, Tien-Chung, (1991). Strong consistencies of the Bootstrao Moments. Internat. J. Math. & Math. Sci., 14, 797-802
  8. Hu, Tien-Chung, (1991). On the Law of the Iterated Logarithm for Arrays of Random Variables. Communications in Statistics Theory and Methods, A20, 1989-1994
  9. Hu, Tien-Chung and Weber, N. C., (1992). On the Rate of Convergence in the Strong Law of Large Numbers for Arrays. Bulletin of the Australian Mathematical Society, 45, 479-482
  10. Fan, J. and Hu, Tien-Chung, (1992). Bias Correction and Higher Order Kernel Functions. Statistics and Probability Letters, 13, 235-243
  11. Hu, Tien-Chung (1992). On the Law of Iterated Logarithm for r-dimensional Arrays of Random Variables. Proceeding of NSC Part A, 16, 515-517
  12. Hu, Tien-Chung (1993). A Modified Variable Kernel Density Estimation. J. Chinese Statistical Association, 31, 63-71
  13. Hu, Tien-Chung, Yheu, Ter-Young and Horng, Wann-Jyi (1994). Transformation Kernel Density Estimation. J. Chinese Statistical Association, 32, 121-142
  14. Jones, M.C., McKay, I.J. and Hu, Tien-Chung, (1994). Variable Location and Scale Kernel Density Estimation. Annals of the Institute of Statistical Mathematics, 46, 521-535
  15. Hu, Tien-Chung and Chang, Hen-Chao, (1994). Strong Laws of Large Numbers for Arrays of Random Elements. Soochow Journal of Mathematics, 20, 587-594
  16. Fan, J., Hu, Tien-Chung and Truong, Y., (1994). Robust Nonparametric Function Estimation. Scandinavian Journal of Statistics, 21, 433-446
  17. Hall, P., Hu, Tien-Chung and Marron, J.S., (1995). Improved Variable Window Kernel Estimates of Probability Densities. Annals of Statistics, 23, 1-10
  18. Hu, Tien-Chung and Weber, N.C., (1995). On the Invariance Principle for Exchangeable Random Variables. Journal of Italian Statistical Association, 3, 53-59
  19. Fan, J., Gijbels, I., Hu, Tien-Chung and Huang, L.S., (1996). A Study of Variable Bandwidth Selection for Local Polynomial Regression. Statistica Sinica, 6, 113-127
  20. Hu, Tien-Chung, (1997). Relation Between Pairwise Independent and Independent of Exchangeable Random Variables. Stochastic Analysis and Applications, 15, 51-57
  21. Hu, Tien-Chung and Taylor R.L., (1997). On the Strong Law for Arrays and for the bootstrap Mean and Variance. Internat. J. Math. & Math. Sci, 20, 375-382
  22. Hu, Tien-Chung and Chang, Hen-Chao, (1997). Complete Convergence and the Law of Large Numbers for Arrays of Random elements. Nonlinear Analysis, Theory, Methods & Applications, 30, 4257-4266
  23. Hu, Tien-Chung, Szynal, D. and Volodin A.I. (1998). Complete Convergence for Arrays. Statistics and Probability Letters, 38, 27-31
  24. Hu, Tien-Chung and Volodin, A.I., (1998). Complete Convergence Criterion for Arrays of Banach Space Valued Random elements. Annales Universitatis Maria Curie-Sklodowska, Lublin-Polonia. Section A, 51, 85-92
  25. Hu, Tien-Chung and Chang, Hen-Chao, (1999). Stability for Randomly Weighted Sums Random Elements. Internat. J. Math. & Math. Sci., 22, 571-580
  26. Hu, Tien-Chung, Rosalsky, A. Szynal, D. and Volodin, A.I., (1999). On Complete Convergence for Arrays of Rowwise Independent Random Variables. Stochastic Analysis and Applications, 17, 963-992
  27. Hu, Tien-Chung and Volodin, A.I., (2000). Addendum: “A note on Complete Convergence for Arrays.” Statistics and Probability Letters, 47, 209-211
  28. Hu, Tien-Chung, Nam, Eunwoo, Rosalsky, A., and Volodin, A. I., (2000). An Application of the Rull-Nardzewski—Woyczynski Theorem to A Uniform Weak Law for Tail Series of Weighted Sums of Random Elements in Banach Spaces. Statistics and Probability Letters, 48, 369-374
  29. Hu, Tien-Chung, Ordonez Cabera, M., and Volodin, A. I., (2001). Convergence of Random Weighted Sums of Banach Space Valued Random Elements and Uniform Integrability Concerning the Random Weights. Statistics and Probability Letters, 51, 155-164
  30. Ahmed, S.E., Hu, Tien-Chung and Volodin, A. I., (2001). On the Rate of Convergence of Bootstrapped Means in a Banach Space. Internat. J. Math.& Math. Sci., 25, 629-635
  31. Hu, Tien-Chung and Wang, Chunnan, (2001). On Convergence for Series of Random Elemanets. Nonlinear Analysis, Theory and Applications, 47, 1297-1308
  32. Hu, Tien-Chung, Li, D., Rosalsky, A. and Volodin A.I. (2002). On the Rate of Complete Convergence for Weighted Sums of Arrays of Banach SpaceValued Random Elements. Teoriya Veroyatnostei I ee Primenen iya, 47, 533-547
  33. Hu, Tien-Chung, Ordonez Cabrera, M., Sung, H.K. and Volodin, A. I.,(2002). Complete Convergence of Weighted Sums in Banach Space and the Bootstrap Mean. Lobachevskii of Mathematics, 10, 17-26
  34. Hu, Tien-Chung, Ordonez Cabrera, M., Sung H. K., and Volodin, A. I., (2003). Complete convergence for Arrays of Rowwise Independent Random Variables. Comm. Korean Math. Soc., 18, 375-383
  35. Hu, Tien-Chung, Li, D., Rosalsky, A. and Volodin, A. I., (2003). On the Rate of Complete Convergence for Weighted Sums of Arrays of Banach Space Valued Random Elements. Theory of Probability and its Applications, 47, 455-468
  36. Hu, Tien-Chung, Huang, C. Y. and Rosalsky, A., (2003). On Stability of Trimmed Sums. Theory of Probability and Mathematical Statistics, 23, 153-172
  37. Volodin, A. I., Giuliano, R. and Hu, Tien-Chung, (2004). A note on the rate of complete convergence for weighted sums of arrays of Banach space valued random elements. Labachevskii Journal of Mathematics, 15, 21-33
  38. Sung, H. K., Volodin, A. I., and Hu, Tien-Chung, (2005). More on complete convergence for arrays. Statistics and Probability Letters, 71, 303-311
  39. Sung, H. K., Hu, Tien-Chung, and Volodin, A. I., (2005). On the weak law for arrays of random variables. Statistics and Probability Letters, 72, 291-298
  40. Hu, Tien-Chung, Ordonez Cabrera, M., and Volodin, A. I. (2005) Convergence rate of the dependent bootstrap means. Theory of Probability and its Applications, 50, 337-346
  41. Hu, Tien-Chung, Rosalsky, A. and Volodin, A. I. (2005). On the golden ratio and the strong law of large numbers for sums of correlated random variables with appliction to first passage time. The Mathematical Scientist, 30, 1-10
  42. Hu, Tien-Chung, Ordonez Cabrera, M., and Volodin, A. I. (2005). Asymptotic probability for bootstrapped Means deviation from the sample mean. Statistics and Probability Letters, 74,178-186
  43. Hu, Tien-Chung, Giuliano, R. and Volodin, A. I. (2006). On concentration phenomenon of subgaussian random elements. Statistics and Probability Letters, 76, 465-469
  44. Chen, P. Hu, Tien-Chung. and Volodin, A.I. (2006). A note on the rate of complete convergence for maximums of partial sums for moving average processes in Rademacher type Banach spaces. Labocheveskii Journal of Mathematics, 21, 45-55
  45. Kruglov, V. M., Volodin, A. I. and Hu, T.C. (2006). On complete convergence of arrays. Statistics and Probability Letters, 76, 1631-1640
  46. Hu, Tien-Chung, Ordonez Cabrera, M., and Volodin, A. I. (2006). Almost sure lim sup behaviour of dependent bootstrap means. Stochastic Analysis and Applications, 24, 1-14
  47. Sung, H.K., Hu, Tien-Chung, and Volodin, A. I., (2006). On the weak laws with random indices for partial sums for arrays of random elements in martingale type p Banach spaces. Bull. Korean Math. Soc., 43, 543-549
  48. Hu, Tien-Chung, and Volodin, A. I., (2006). A Remark on Complete Convergence for arrays of Rowwise Negatively Associated Random Variables. Proceedings of The 3rd Sino-International Symposium on Probability, Statistics, and Quantitative Management, Taipei, Taiwan. 9-18
  49. Sung, H.K., Ordonez Cabrera, M., and Hu, Tien-Chung, (2007).On completed convergence for arrays of rowwise independent random elements.J. Korean Math. Soc., 44, 467-476
  50. Chen, P., Hu, Tien-Chung, Liu, X. and Volodin, A. I., (2007). On complete convergence for arrays of rowwise negatively associated random variables. Teor. Veroyatnost. i Primenen, 52, 1-5
  51. Chen, P. Hu, Tien-Chung and Volodin, A. I., (2007). Limiting behaviour of moving average processes under negatively association assumption. Theory of Probability and Mathematical Statistics, 77, 154-166
  52. Sung, H.K., Hu, Tien-Chung, and Volodin, A. I., (2008). A note on the growth rate in the Fazekas-Klesov general law of large numbers and som applications to the weak law of large numbers for tail series.Publicationes Mathematicae Debrecen., 73, 1-10.Chen, P., Hu, Tien-Chung, Liu, X. and Volodin, A. I., (2008). On complete convergence for arrays of rowwise negatively associated random variables. Theory of Probability and its Applications, 52, 323-328
  53. Hu, Tien-Chung, Rosalsky, A. and Volodin, A. I. (2008). On Convergence properties of sums of dependent random variables under second moment and covariance restrictions. Statistics and Probability Letters, 78, 1999-2005
  54. Chen, P., Hu, Tien-Chung and Volodin, A.I., (2009). Limiting Behaviour of Moving Average Processes under-mixing Assumption. Statistics and Probability Letters, 79, 1631-1640
  55. Hu, Tien-Chung, Chiang, Chen-Yu and Taylor, R.L., (2009). On Complete Convergence for Arrays of Rowwise m-Negatively Associated Random Variables. Nonlinear Analysis, 71, 1075-1081
  56. Hong, W.J., Hu, Tien-Chung and Tsai, J.L., (2009). Dynamic Relatedness Analysis of Two Stock Market Returns Volatility: An Empirical Study on the South Korean and Japanese Stock Markets. Asian Journal of Management and Humanity Sciences, 4, 1-15
  57. Hu, Tien-Chung, and Weber, N.C., (2009). A Note on Strong Convergence of Sums of Dependent Random Variables. Journal of Statistics and Probability, 2009, Article ID 873274, 7 pages. doi.10.1155/2009/873274
  58. Chen, P., Giuliano, R, Hu, Tien-Chung and Volodin, A.I., (2010). Limiting Behaviour of Moving Average Processes under -mixing Assumption.Note di Matematica, 30, 1-8
  59. Hu, Tien-Chung, Chen, P. and Weber, N.C., (2010). A Remark on the Strong Law for B-valued Arrays of Random Elements. Bulletin of Australia of Mathematical Association, Bull. Aust. Math. Soc., 82, 31-43
  60. Chen, P., Giuliano, R, Hu, Tien-Chung and Volodin, A.I., (2010). Limiting behavior of moving average processes under -mixing assumption. Note diMatematica, 30, 1-10
  61. Horng, W. J., Hu, Tien-Chung, and Tsai, J. L., (2011). DCC Analysis of Two Exchange Market with a Factor of Japan Dollar: Study of Philippine and Indonesian Exchange Markets. Computer Science and Convergence Information Technology, 10, 939-944
  62. Liswadi, Supranee and Hu, Tien-Chung (2011). On the Negative Association Property for Dependent Bootstrap Random Variables. Labocheveskii Journal of Mathematics. 32, 45-55
  63. Hu, Tien-Chung, and Rosalsky, A., (2011). A note on the de La Vallée Poussin criterion for uniform integrability, Statistics and Probability Letters, 81, 169-174
  64. Hu, Tien-Chung, Rosalsky, A. and Wang Kuo-Lung, (2011). Some Complete Convergence Results for Row Sums from Arrays of Rowwise Independent Random Elements in Rademacher Type p Banach Spaces. Labocheveskii Journal of Mathematics, 32, 71-87
  65. Chen, P. and Hu, Tien-Chung, (2012). Lmiting Behavior for Random Elements with Heavy Tail. Taiwanese Journal of Mathematics, 16, 217-236
  66. Hu, Tien-Chung, Rosalsky, A. and Volodin, A. I., (2012). A complete convergence theorem for row sums from arrays of rowwise independent random elements in Rademacher type p Banach spaces. Stochastic Analysis and Applications, 30, 343-353


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