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
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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
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Taylor, R. L. and Hu, Tien-Chung, (1987).
Sub-Gaussian Techniques in Proving Strong Laws of Large Numbers. American Math.
Monthly, 94, 295-299
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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
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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
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Hu, Tien-Chung, (1988). A Statistical
Method of Approach of Stirling’s Formula. American Statistician, 42, 204-205
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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
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Hu, Tien-Chung, (1991). Strong
consistencies of the Bootstrao Moments. Internat. J. Math. & Math. Sci.,
14, 797-802
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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
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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
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Fan, J. and Hu, Tien-Chung, (1992). Bias
Correction and Higher Order Kernel Functions. Statistics and Probability
Letters, 13, 235-243
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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
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Hu, Tien-Chung (1993). A Modified Variable
Kernel Density Estimation. J. Chinese Statistical Association, 31, 63-71
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Hu, Tien-Chung, Yheu, Ter-Young and Horng,
Wann-Jyi (1994). Transformation Kernel Density Estimation. J. Chinese
Statistical Association, 32, 121-142
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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
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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
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Fan, J., Hu, Tien-Chung and Truong, Y.,
(1994). Robust Nonparametric Function Estimation. Scandinavian Journal of
Statistics, 21, 433-446
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Hall, P., Hu, Tien-Chung and Marron, J.S.,
(1995). Improved Variable Window Kernel Estimates of Probability Densities.
Annals of Statistics, 23, 1-10
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Hu, Tien-Chung and Weber, N.C., (1995). On
the Invariance Principle for Exchangeable Random Variables. Journal of Italian
Statistical Association, 3, 53-59
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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
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Hu, Tien-Chung, (1997). Relation Between
Pairwise Independent and Independent of Exchangeable Random Variables.
Stochastic Analysis and Applications, 15, 51-57
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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
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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
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Hu, Tien-Chung, Szynal, D. and Volodin A.I.
(1998). Complete Convergence for Arrays. Statistics and Probability Letters,
38, 27-31
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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
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Hu, Tien-Chung and Chang, Hen-Chao, (1999).
Stability for Randomly Weighted Sums Random Elements. Internat. J. Math. &
Math. Sci., 22, 571-580
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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
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Hu, Tien-Chung and Volodin, A.I., (2000).
Addendum: “A note on Complete Convergence for Arrays.” Statistics and Probability
Letters, 47, 209-211
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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
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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
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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
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Hu, Tien-Chung and Wang, Chunnan, (2001).
On Convergence for Series of Random Elemanets. Nonlinear Analysis, Theory and
Applications, 47, 1297-1308
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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
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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
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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
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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
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Hu, Tien-Chung, Huang, C. Y. and Rosalsky,
A., (2003). On Stability of Trimmed Sums. Theory of Probability and Mathematical
Statistics, 23, 153-172
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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
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Sung, H. K., Volodin, A. I., and Hu,
Tien-Chung, (2005). More on complete convergence for arrays. Statistics and Probability
Letters, 71, 303-311
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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
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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
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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
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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
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Hu, Tien-Chung, Giuliano, R. and Volodin,
A. I. (2006). On concentration phenomenon of subgaussian random elements.
Statistics and Probability Letters, 76, 465-469
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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
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Kruglov, V. M., Volodin, A. I. and Hu, T.C.
(2006). On complete convergence of arrays. Statistics and Probability Letters,
76, 1631-1640
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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Liswadi, Supranee and Hu, Tien-Chung
(2011). On the Negative Association Property for Dependent Bootstrap Random
Variables. Labocheveskii Journal of Mathematics. 32, 45-55
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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
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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
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Chen, P. and Hu, Tien-Chung, (2012).
Lmiting Behavior for Random Elements with Heavy Tail. Taiwanese Journal of Mathematics,
16, 217-236
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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