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社會統計:(2019)。賴弘煌,胡殿中,江志民,吳來信。國立空中大學。
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Yongfeng Wu, Tien-Chung Hu (2024). Jajte-type strong limit theorem for pairwise negatively quadrant dependent random variables. Communication in Statistics – Theory and Methods, 53: to appear DOI: 10.1080/03610926.2024.2319094. Published on line 23, Feb. 2024 To link to this article: https://doi.org/10.1080/03610926.2024.2319094.
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Xi Chen, Tien-Chung Hu, Andrei Volodin and Xuejune Wang (2024). Complete f-moment Convergence for m-ANA Random Variables and Related Applications in Statistics, Journal of Nonparametric Statistics, 35: 2 to appear. DOI: 10.1080/10485252.2023.2280004. Publish on line 09, nov. 2023 To link to this article: https://doi.org/10.1080/10485252.2023.2280004.
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Yi Wu, Tien-Chung Hu, Andrei Volodin and Xuejune Wang (2023). Some Improved Results on Berry-Esseen Bounds for Strong Mixing Random Variables and Applications. Statistics, A Journal of Theoretical and Applied Statistics, 57: 3, 740-760, DOI: 10.1080/02331888.2023.2213460.
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Hu, T.C. Rosalsky, A. Volodin, A. (2022). Correction “Complete Convergence Theorems for Weighted Row Sums from Arrays of Random Elements in Rademacher Type p and Martingale Type p Banach Spaces”, by Tien-Chung Hu, Andrew Rosalsky and Andrei Volodin in Stochastic Analysis and Applications, 37(6) pp. 1092-1106.
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Chandra, T. K. Hu, T.C. T Rosalsky, A. (2021). On uniform nonintegrability and weak uniform nonintegrability of a sequence of random variables with respect to a nonnegative array. Calcutta Statistical Association Bulletin.
Volume: 73 issue: 1, 53-61. https://doi.org/10.1177/00080683211009115.
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Tien-Chung Hu, Andrew Rosalsky, Andrei Volodin & Sen Zhang (2021). A complete convergence theorem for row sums from arrays of rowwise independent random elements in Rademacher type p Banach spaces II. Stochastic Analysis and Applications, 39:1, 177-193.
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Hu, T.C. Rosalsky, A. Volodin, A. (2019). Complete Convergence Theorems for Weighted Row Sums from Arrays of Random Elements in Rademacher Type p and Martingale Type p Banach Spaces. Stochastic Analysis and Applications, 37, 1092-1106.
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Wu, Yi , Wang, Xuejun, Hu, Tien-Chung, Ordonez Cabrera, Manuel, Volodin, Andrei. (2019). Limiting behaviour for arrays of rowwise widely orthant dependent random variables under conditions of R-h-integrability and its applications. Stochastics:
An International Journal of Probability and Stochastic Processes.
91, 916-944. DOI: 10.1080/17442508.2018.1563605.
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Nguyen Van Quang, DoTheSon, Tien-Chung Hu, and Nguyen Van Huan. Mean (2019). Convergence Theorems and Weak Laws of Large Numbers for Arrays of Measurable Operators under Some Conditions of Uniform Integrability,
Lobachevskii Journal of Mathematics,
40, 1218–1229.
-
Wei Li, Pingyan Chen, Tien-Chung Hu, (2019). Strong laws for weighted sums of ρ∗-mixing random variables under general, moment conditions,
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas.
113; 1765-1773.
-
Yi Wu, Xuejun Wang, Tien-Chung Hu and Andrei Volodin, (2019). Complete f -moment convergence for extended negatively dependent random variables.
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas (RACSAM).
113, 333-351.
http://rdcu.be/APCA
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N. V. Quang, D. X. Giap, B. N. T. Ngoc, T.-C. Hu (2019). Some Strong Laws of Large Numbers for Double Arrays of Random Sets with Gap Topology.
Journal of Convex Analysis,
26, 719-738.
-
Trinh Hoai Nam, Tien-Chung Hu and Andrei Volodin, (2017). Maximal inequalities and strong law of large numbers for sequences of m-asymptotically almost negatively associated random variables.
Communication in Statistics - Theory and Methods,
46, 2696-2707.
-
Chandra, T.K.; Hu, T.-C.. Rosalsky, (2016). A. On uniform nonintegrability for a sequence of random variables.
Statistics and Probability Letters,
116, 27-37.
-
Chen, P., Ye, X., Hu, T.-C. (2016). A strong law and a law of the single logarithm for arrays of rowwise independent random variables.
Statistics and Probability Letters
, 110, 169-174.
-
Hu, T.-C., Sung, S.H., Volodin, A. (2016). A note on the strong laws of large numbers for random variables,.
Acta Mathematica Hungarica,
150, 412-422.
-
Wu, Yongfeng, Hu Tien-Chung and Volodin Andrei (2015). Complete convergence and complete moment convergence for weighted sums of m-NA random variables.
Journal of Inequalities and Applications.
2015:200, DOI 10.1186/s 13660-015-0717-1, 14 pages.
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Liu, Xiaodong, Guan, Zongping and Hu, Tien-Chung (2015). Strong Law for Linear processes.
Journal of Inequalities and Applications.
2015:144 DOI 10.1186/s 13660-015-0664-x, 10 pages.
-
Hu, Tien-Chung, and Rosalsky, A.,
"A note on random variables with an infinite absolute first moment",
Statistics and Probability Letters ,
97,
(2015),
212-215.
-
Yongfeng Wu, Jiangyan Peng and Tien-Chung Hu,
"limiting behavior for arrays of rowwise END random variables under conditions of h-integrability",
Stochastics: An International Journal of Probability and Stochastic Processes ,
87,
(2015),
409-423. (IF 0.597)
-
Hu, Tien-Chung, Rosalsky, A. and Wang Kuo-Lung,
"Complete convergence theorems for extended negatively dependent random variables",
Sankhya A: The Indian Journal of Statistics ,
77,
(2015),
1-29.
-
Dai, Hongshuai, Hu, Tien-Chung and Lee, June-Yuang,
"Operator fractional Brownian motions and martingale difference",
Abstract and Applied Analysis Doi: 10.1155/2014/791537,
(2014). (IF1.274)
-
li, W., Chen P. and Hu, Tien-Chung,
"Complete convergence for moving average processes associated to heavy-tailed distributions and applications",
Journal of Mathematical Analysis and Applications ,
420,
(2014),
66-76. (IF rank 34 out of 295, 11.3%)
-
Xuejun Wang, Chen Xu, Tien-Chung Hu, Andrei Volodin, and Shuhe Hu, "On complete convergence for widely orthant dependent random variables and its applications in nonparametric regression models",
TEST-SPAIN ,
23,
(2014),
607-629. (IF1.271)
-
Qiu Dehua and Hu, Tien-Chung,
"strong limit theorems for weighted sums of widely orthant dependent random variables",
Journal of Mathematical Research with Applications ,
34,
(2014),
105-113.
-
Giuliano, R, Hu, Tien-Chung, Kozachenko, Y. and Volodin, A.I., "An Application of φ-subgaussian technique to Fourier analysis", Journal of Mathematical Analysis and Applications ,
408,
(2013),
114-124.
-
Xuejun Wang , Hu, Tien-Chung, Volodin, I and Shuhe Hu, "Complete convergence for weighted sums and arrays of rowwise extended negatively dependent random variables",
Communication in Statistics - Theory and Methods ,
42,
(2013),
1-11.
-
Horng Wann-Jyi and Hu Tien-Chung,
"Dynamic Relatedness Analysis of Three Exchange Rate Markets’ Volatility: Study of Korea, Taiwan and Thailand’s Countries",
Advances in Intelligent Systems Research (AISR) ,
41,
(2013),
0.(EI)
-
Huan, N.V., Hung, T. L., Hu, Tien-Chung, and Volodin, A.I.,
"On the Complete Convergence for random fields",
(submitted).
-
Qiu Dehua, Hu, Tien-Chung, Ordones Cabrera, M. and Volodin, A. I., "Complete convergence for weighted sums of arrays of Banach space valued random elements",
lithuanian Mathematical Journal ,
42,
(2012),
316-325.
-
Hu, Tien-Chung, Chen, P. and Horng, W.J.,
"On Inverse Moments of nonnegative random variables.",
Operation Research and Statistics ,
1,
(2012),
38-42.
-
Hu, Tien-Chung, Rosalsky, A. and Volodin, A. I.,
"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,
(2012),
343-353.
-
Chen, P. and Hu, Tien-Chung,
"limiting Behavior for Random Elements with Heavy Tail",
Taiwanese Journal of Mathematics ,
16,
(2012),
217-236.
-
Horng Wann-Jyi and Hu Tien-Chung,
"An Impact of the Japan and the U.S. Stock Return Volatility for Two Stock Markets:An Empirical Study of Taiwan and Korea Countries",
IEEE Computer Science ,
0,
(2012),
NISS2012. (EI)
-
Hu, Tien-Chung, Rosalsky, A. and Wang Kuo-Lung,
"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,
(2011),
71-87.
-
Hu, Tien-Chung, and Rosalsky, A.,
"A note on the de La Vallée Poussin criterion for uniform integrability",
Statistics and Probability Letters ,
81,
(2011),
169-174.
-
liswadi, Supranee and Hu, Tien-Chung,
"On the Negative Association Property for Dependent Bootstrap Random Variables",
Labocheveskii Journal of Mathematics ,
32,
(2011),
45-54.
-
Horng, W. J., Hu, Tien-Chung, and Tsai, J. L.,
"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,
(2011),
939-944.
-
Chen, P., Giuliano, R, Hu, Tien-Chung and Volodin, A.I.,
"limiting behavior of moving average processes under ρ-mixing assumption",
Note di Matematica ,
30,
(2010),
1-10.
-
Hu, Tien-Chung, Chen, P. and Weber, N.C.,
"A Remark on the strong Law for B-valued Arrays of Random Elements",
Bulletin of Australia of Mathematical Association, Bull. Aust. Math. Soc. ,
82,
(2010),
31-43.
-
Hu, Tien-Chung, and Weber, N.C.,
"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.
-
Hong, W.J., Hu, Tien-Chung and Tsai, J.L.,
"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,
(2009),
1-15.
-
Hu, Tien-Chung, Chiang, Chen-Yu and Taylor, R.L.,
"On Complete Convergence for Arrays of Rowwise m-Negatively Associated Random Variables",
Nonlinear Analysis ,
71,
(2009),
1075-1081.
-
Chen, P., Hu, Tien-Chung and Volodin, A.I.,
"limiting Behaviour of Moving Average Processes under φ-mixing Assumption",
Statistics and Probability Letters ,
79,
(2009),
1631-1640.
-
Hu, Tien-Chung, Rosalsky, A. and Volodin, A. I.,
"On Convergence properties of sums of dependent random variables under second moment and covariance restrictions",
Statistics and Probability Letters ,
78,
(2008),
1999-2005.
-
Chen, P., Hu, Tien-Chung, liu, X. and Volodin, A. I.,
"On complete convergence for arrays of rowwise negatively associated random variables",
Theory of Probability and its Applications ,
52,
(2008),
323-328.
-
Sung, H.K., Hu, Tien-Chung, and Volodin, A. I.,
"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,
(2008),
1-10.
-
Chen, P. Hu, Tien-Chung and Volodin, A. I.,
"limiting behaviour of moving average processes under negatively association assumption",
Theory of Probability and Mathematical Statistics ,
77,
(2007),
154-166.
-
Chen, P., Hu, Tien-Chung, liu, X. and Volodin, A. I.,
"On complete convergence for arrays of rowwise negatively associated random variables",
Teor. Veroyatnost. i Primenen ,
52,
(2007),
1-5.
-
Sung, H.K., Ordonez Cabrera, M., and Hu, Tien-Chung,
"On completed convergence for arrays of rowwise independent random elements",
J. Korean Math. Soc ,
44,
(2007),
467-476.
-
Hu, Tien-Chung, and Volodin, A. I.,
"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 ,
(2006),
9-18.
-
Sung, H.K., Hu, Tien-Chung, and Volodin, A. I.,
"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,
(2006),
543-549.
-
Hu, Tien-Chung, Ordonez Cabrera, M., and Volodin, A. I.,
"Almost sure lim sup behaviour of dependent bootstrap means",
Stochastic Analysis and Applications ,
24,
(2006),
1-14.
-
Kruglov, V. M., Volodin, A. I. and Hu, T.C.,
"On complete convergence of arrays",
Statistics and Probability Letters ,
76,
(2006),
1631-1640.
-
Chen, P. Hu, Tien-Chung. and Volodin, A.I.,
"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,
(2006),
45-55.
-
Hu, Tien-Chung, Giuliano, R. and Volodin, A. I.,
"On concentration phenomenon of φ-subgaussian random elements",
Statistics and Probability Letters ,
76,
(2006),
465-469.
-
Hu, Tien-Chung, Ordonez Cabrera, M., and Volodin, A. I.,
"Asymptotic probability for bootstrapped Means deviation from the sample mean",
Statistics and Probability Letters ,
74,
(2005),
178-186.
-
Hu, Tien-Chung, Rosalsky, A. and Volodin, A. I.,
"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,
(2005),
1-10.
-
Hu, Tien-Chung, Ordonez Cabrera, M., and Volodin, A. I.,
"Convergence rate of the dependent bootstrap means",
Theory of Probability and its Applications ,
50,
(2005),
337-346.
-
Sung, H. K., Hu, Tien-Chung, and Volodin, A. I.,
"On the weak law for arrays of random variables",
Statistics and Probability Letters ,
72,
(2005),
291-298.
-
Sung, H. K., Volodin, A. I., and Hu, Tien-Chung,
"More on complete convergence for arrays",
Statistics and Probability Letters ,
71,
(2005),
303-311.
-
Volodin, A. I., Giuliano, R. and Hu, Tien-Chung,
"A note on the rate of complete convergence for weighted sums of arrays of Banach space valued random elements",
Labachevskii Journal of Mathematics ,
15,
(2004),
21-33.
-
Hu, Tien-Chung, Huang, C. Y. and Rosalsky, A.,
"On Stability of Trimmed Sums",
Theory of Probability and Mathematical Statistics ,
23,
(2003),
153-172.
-
Hu, Tien-Chung, li, D., Rosalsky, A. and Volodin, A. I.,
"On the Rate of Complete Convergence for Weighted Sums of Arrays of Banach Space Valued Random Elements",
Theory of Probability and its Applications ,
47,
(2003),
455-468.
-
Hu, Tien-Chung, Ordonez Cabrera, M., Sung H. K., and Volodin, A. I.,
"Complete convergence for Arrays of Rowwise Independent Random Variables",
Comm. Korean Math. Soc. ,
18,
(2003),
375-383.
-
Hu, Tien-Chung, Ordonez Cabrera, M., Sung, H.K. and Volodin, A. I.,
"Complete Convergence of Weighted Sums in Banach Space and the Bootstrap Mean",
Lobachevskii of Mathematics ,
10,
(2002),
17-26.
-
Hu, Tien-Chung, li, D., Rosalsky, A. and Volodin A.I.,
"On the Rate of Complete Convergence for Weighted Sums of Arrays of Banach SpaceValued Random Elements",
Teoriya Veroyatnostei I ee Primenen iya ,
47,
(2002),
533-547.
-
Hu, Tien-Chung and Wang, Chunnan,
"On Convergence for Series of Random Elemanets. Nonlinear Analysis",
Theory and Applications ,
47,
(2001),
1297-1308.
-
Ahmed, S.E., Hu, Tien-Chung and Volodin, A. I.,
"On the Rate of Convergence of Bootstrapped Means in a Banach Space",
Internat. J. Math.& Math. Sci. ,
25,
(2001),
629-635.
-
Hu, Tien-Chung, Ordonez Cabera, M., and Volodin, A. I.,
"Convergence of Random Weighted Sums of Banach Space Valued Random Elements and Uniform Integrability Concerning the Random Weights",
Statistics and Probability Letters ,
51,
(2001),
155-164.
-
Hu, Tien-Chung, Nam, Eunwoo, Rosalsky, A., and Volodin, A. I.,
"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,
(2000),
369-374.
-
Hu, Tien-Chung and Volodin, A.I.,
"A note on Complete Convergence for Arrays",
Statistics and Probability Letters ,
47,
(2000),
209-211.
-
Hu, Tien-Chung, Rosalsky, A. Szynal, D. and Volodin, A.I.,
"On Complete Convergence for Arrays of Rowwise Independent Random Variables",
Stochastic Analysis and Applications ,
17,
(1999),
963-992.
-
Hu, Tien-Chung and Chang, Hen-Chao,
"Stability for Randomly Weighted Sums Random Elements",
Internat. J. Math. & Math. Sci. ,
22,
(1999),
571-580.
-
Hu, Tien-Chung and Volodin, A.I.,
"Complete Convergence Criterion for Arrays of Banach Space Valued Random elements",
Annales Universitatis Maria Curie-Sklodowska, Lublin-Polonia. Section A ,
51,
(1998),
85-92.
-
Hu, Tien-Chung, Szynal, D. and Volodin A.I.,
"Complete Convergence for Arrays",
Statistics and Probability Letters ,
38,
(1998),
27-31.
-
Hu, Tien-Chung and Chang, Hen-Chao,
"Complete Convergence and the Law of Large Numbers for Arrays of Random elements",
Nonlinear Analysis, Theory, Methods & Applications ,
30,
(1997),
4257-4266.
-
Hu, Tien-Chung and Taylor R.L.,
"On the strong Law for Arrays and for the bootstrap Mean and Variance",
Internat. J. Math. & Math. Sci ,
20,
(1997),
375-382.
-
Hu, Tien-Chung,
"Relation Between Pairwise Independent and Independent of Exchangeable Random Variables",
Stochastic Analysis and Applications ,
15,
(1997),
51-57.
-
Fan, J., Gijbels, I., Hu, Tien-Chung and Huang, L.S.,
"A Study of Variable Bandwidth Selection for Local Polynomial Regression",
Statistica Sinica ,
6,
(1996),
113-127.
-
Hu, Tien-Chung and Weber, N.C.,
"On the Invariance Principle for Exchangeable Random Variables",
Journal of Italian Statistical Association ,
3,
(1995),
53-59.
-
Hall, P., Hu, Tien-Chung and Marron, J.S.,
"Improved Variable Window Kernel Estimates of Probability Densities",
Annals of Statistics ,
23,
(1995),
1-10.
-
Fan, J., Hu, Tien-Chung and Truong, Y.,
"Robust Nonparametric Function Estimation",
Scandinavian Journal of Statistics ,
21,
(1994),
433-446.
-
Hu, Tien-Chung and Chang, Hen-Chao,
"strong Laws of Large Numbers for Arrays of Random Elements",
Soochow Journal of Mathematics ,
20,
(1994),
587-594.
-
Jones, M.C., McKay, I.J. and Hu, Tien-Chung,
"Variable Location and Scale Kernel Density Estimation",
Annals of the Institute of Statistical Mathematics ,
46,
(1994),
521-535.
-
Hu, Tien-Chung, Yheu, Ter-Young and Horng, Wann-Jyi ,
"Transformation Kernel Density Estimation",
J. Chinese Statistical Association ,
32,
(1994),
121-142.
-
Hu, Tien-Chung,
"A Modified Variable Kernel Density Estimation",
J. Chinese Statistical Association ,
31,
(1993),
63-71.
-
Hu, Tien-Chung,
"On the Law of Iterated Logarithm for r-dimensional Arrays of Random Variables",
Proceeding of NSC Part A ,
16,
(1992),
515-517.
-
Fan, J. and Hu, Tien-Chung,
"Bias Correction and Higher Order Kernel Functions",
Statistics and Probability Letters ,
13,
(1992),
235-243.
-
Hu, Tien-Chung and Weber, N. C.,
"On the Rate of Convergence in the strong Law of Large Numbers for Arrays",
Bulletin of the Australian Mathematical Society ,
45,
(1992),
479-482.
-
Hu, Tien-Chung,
"On the Law of the Iterated Logarithm for Arrays of Random Variables",
Communications in Statistics Theory and Methods ,
A20,
(1991),
1989-1994.
-
Hu, Tien-Chung,
"strong consistencies of the Bootstrao Moments. ",
Internat J. Math. & Math. Sci. ,
14,
(1991),
797-802.
-
Hu, Tien-Chung, Moricz, M., and Taylor, R. L.,
"strong Laws of Large Numbers for Arrays of Rowwise Independent Random Variables",
ACTA Mathematica Hungarica ,
54,
(1989),
153-162.
-
Hu, Tien-Chung,
"A Statistical Method of Approach of Stirling’s Formula",
American Statistician ,
42,
(1988),
204-205.
-
Taylor R. L. and Hu, Tien-Chung,
"Consistency of Kernel Density Estimators and Laws of Large Numbers in C0(R)",
Mathematical Statistics and Probability Theory ,
A,
(1987),
253-266.
-
Taylor, R. L. and Hu, Tien-Chung,
"On the Laws of Large Numbers for Exchangeable Random Variables",
Stochastic Analysis and Applications ,
5,
(1987),
323-334.
-
Taylor, R. L. and Hu, Tien-Chung,
"Sub-Gaussian Techniques in Proving strong Laws of Large Numbers",
American Math. Monthly ,
94,
(1987),
295-299.
-
Taylor, R. L. and Hu, Tien-Chung,
"strong Laws of Large Numbers for Arrays of Rowwise Independent Random Elements",
Internat. J. Math. & Math. Sci. ,
10,
(1987),
805-814.