## Sung, Soohak

Compute Distance To:
 Author ID: sung.soohak Published as: Sung, Soo Hak; Sung, Soohak
 Documents Indexed: 128 Publications since 1985 Co-Authors: 61 Co-Authors with 80 Joint Publications 1,929 Co-Co-Authors
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### Co-Authors

 48 single-authored 31 Chen, Pingyan 16 Volodin, Andrei I. 9 Lee, Sangjin 8 Choi, Bong Dae 7 Lim, Jongin 6 Chee, Seongtaek 6 Hu, Tienchung 6 Park, Sangwoo 5 Ordóñez Cabrera, Manuel H. 4 Chang, Donghoon 3 Cho, Hong-Su 3 Hong, Dug Hun 3 Hong, Seokhie 3 Li, Wei 3 Sung, Jaechul 2 Choi, Yong-Kab 2 Kwon, Daesung 2 Kwon, Joong Sung 2 Lee, Wonil 2 Moon, Hee-Jin 2 Song, Jung Hwan 2 Stănică, Pantelimon 2 Wang, Xuejun 2 Wu, Yi 2 Yoon, E-Joong 2 Yun, Aaram 2 Zhang, Tao 1 Ahn, Wi Chong 1 Bai, Peng 1 Chun, Kilsoo 1 Giuliano Antonini, Rita 1 Han, Daewan 1 Hong, Jin 1 Hu, Di 1 Kim, Jaesung 1 Kim, Jongsung 1 Kim, Kwangjo 1 Kim, Seungjoo 1 Kong, Ningning 1 Lee, Daiki 1 Lee, Jaewon 1 Lee, Jungkeun 1 Li, Xiaolin 1 Lisawadi, Supranee 1 Luo, Jingjing 1 Ma, Xiaofang 1 Nandi, Mridul 1 Park, Choonsik 1 Park, Sungmo 1 Sohn, Yaekwon 1 Son, Jung-Je 1 Srisuradetchai, Patchanok 1 Urmeneta, Henar 1 Wen, Luliang 1 Wu, Yongfeng 1 Yanchun, Yi 1 Yeom, Yongjin 1 Yi, Jiaming 1 Yi, Yanchun 1 Yoon, Seonhee 1 Zhang, Mingyang
all top 5

### Serials

 20 Statistics & Probability Letters 13 Bulletin of the Korean Mathematical Society 13 Journal of Inequalities and Applications 6 Journal of the Korean Mathematical Society 6 Stochastic Analysis and Applications 6 Communications in Statistics. Theory and Methods 5 Information Processing Letters 4 Journal of Mathematical Analysis and Applications 4 Journal of Mathematical Inequalities 3 Bulletin of the Australian Mathematical Society 3 Statistical Papers 3 Communications of the Korean Mathematical Society 2 Lithuanian Mathematical Journal 2 Publicationes Mathematicae Debrecen 2 Abstract and Applied Analysis 2 Discrete Dynamics in Nature and Society 2 Journal of the Korean Statistical Society 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Computers & Mathematics with Applications 1 Periodica Mathematica Hungarica 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Statistical Planning and Inference 1 Probability and Mathematical Statistics 1 Extracta Mathematicae 1 Journal of Theoretical Probability 1 Applied Mathematics Letters 1 Designs, Codes and Cryptography 1 Bulletin of the Institute of Mathematics. Academia Sinica 1 Stochastic Processes and their Applications 1 Test 1 The Journal of Fuzzy Mathematics 1 Filomat 1 Statistica Sinica 1 Acta Mathematica Sinica. English Series 1 Probability in the Engineering and Informational Sciences 1 Stochastics and Dynamics
all top 5

### Fields

 108 Probability theory and stochastic processes (60-XX) 19 Statistics (62-XX) 17 Information and communication theory, circuits (94-XX) 6 Computer science (68-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 1 Real functions (26-XX) 1 Sequences, series, summability (40-XX)

### Citations contained in zbMATH Open

98 Publications have been cited 699 times in 450 Documents Cited by Year
On the strong convergence for weighted sums of random variables. Zbl 1247.60041
Sung, Soo Hak
2011
Almost sure convergence theorems of weighted sums of random variables. Zbl 0633.60049
Choi, Bong Dae; Sung, Soo Hak
1987
On the strong convergence for weighted sums of $$\rho ^{*}$$-mixing random variables. Zbl 1307.60023
Sung, Soo Hak
2013
More on complete convergence for arrays. Zbl 1087.60030
Sung, Soo Hak; Volodin, Andrei I.; Hu, Tien-Chung
2005
The von Bahr-Esseen moment inequality for pairwise independent random variables and applications. Zbl 1316.60028
Chen, Pingyan; Bai, Peng; Sung, Soo Hak
2014
Moment inequalities and complete moment convergence. Zbl 1180.60019
Sung, Soo Hak
2009
Weak laws of large numbers for arrays under a condition of uniform integrability. Zbl 1136.60319
Sung, Soo Hak; Lisawadi, Supranee; Volodin, Andrei
2008
Complete convergence for weighted sums of random variables. Zbl 1108.60026
Sung, Soo Hak
2007
Strong laws for weighted sums of i. i. d. random variables. Zbl 1020.60016
Sung, Soo Hak
2001
Complete convergence for weighted sums of $$\rho \ast$$-mixing random variables. Zbl 1193.60045
Sung, Soo Hak
2010
Complete convergence for weighted sums of arrays of rowwise independent $$B$$-valued random variables. Zbl 0902.60011
Sung, Soo Hak
1997
Improving the upper bound on the maximum differential and the maximum linear hull probability for SPN structures and AES. Zbl 1254.94040
Park, Sangwoo; Sung, Soo Hak; Lee, Sangjin; Lim, Jongin
2003
Complete convergence for arrays of rowwise independent random variables. Zbl 1101.60324
Hu, Tien-Chung; Ordóñez Cabrera, Manuel; Sung, Soo Hak; Volodin, Andrei
2003
Strong laws for weighted sums of $$\psi$$-mixing random variables and applications in errors-in-variables regression models. Zbl 1370.60053
Hu, Di; Chen, Pingyan; Sung, Soo Hak
2017
Impossible differential cryptanalysis for block cipher structures. Zbl 1123.94352
Kim, Jongsung; Hong, Seokhie; Sung, Jaechul; Lee, Sangjin; Lim, Jongin; Sung, Soohak
2003
Complete convergence for weighted sums of negatively dependent random variables. Zbl 1314.62096
Sung, Soo Hak
2012
A note on the rates of convergence for weighted sums of $$\rho^\ast$$-mixing random variables. Zbl 1319.60065
Wu, Yongfeng; Sung, Soo Hak; Volodin, Andrei
2014
Weak law of large numbers for arrays of random variables. Zbl 0948.60018
Sung, Soo Hak
1999
On the exponential inequalities for negatively dependent random variables. Zbl 1218.60016
Sung, Soo Hak
2011
New block cipher: ARIA. Zbl 1092.94509
Kwon, Daesung; Kim, Jaesung; Park, Sangwoo; Sung, Soo Hak; Sohn, Yaekwon; Song, Jung Hwan; Yeom, Yongjin; Yoon, E-Joong; Lee, Sangjin; Lee, Jaewon; Chee, Seongtaek; Han, Daewan; Hong, Jin
2004
Complete $$q$$th moment convergence for arrays of random variables. Zbl 1285.60029
Sung, Soo Hak
2013
Convergence in $$r$$-mean of weighted sums of NQD random variables. Zbl 1256.60016
Sung, Soo Hak
2013
A note on the exponential inequality for a class of dependent random variables. Zbl 1296.60047
Sung, Soo Hak; Srisuradetchai, Patchanok; Volodin, Andrei
2011
On moment conditions for the supremum of normed sums. Zbl 0631.60014
Choi, Bong Dae; Sung, Soo Hak
1987
A note on the complete convergence for arrays of dependent random variables. Zbl 1276.60035
Sung, Soo Hak
2011
A Spitzer-type law of large numbers for widely orthant dependent random variables. Zbl 1422.60049
Chen, Pingyan; Sung, Soo Hak
2019
On the correlation immune functions and their nonlinearity. Zbl 1006.94535
Chee, Seongtaek; Lee, Sangjin; Lee, Daiki; Sung, Soo Hak
1996
On the strong convergence for weighted sums of negatively associated random variables. Zbl 1291.60055
Chen, Pingyan; Sung, Soo Hak
2014
On the strong law of large numbers for weighted sums of random variables. Zbl 1238.60040
Sung, Soo Hak
2011
Marcinkiewicz-Zygmund type strong law of large numbers for pairwise i.i.d. random variables. Zbl 1309.60028
Sung, Soo Hak
2014
On the strong law of large numbers for pairwise i.i.d. random variables with general moment conditions. Zbl 1285.60030
Sung, Soo Hak
2013
Global avalanche characteristics and nonlinearity of balanced Boolean functions. Zbl 1337.94071
Son, Jung Je; Lim, Jong In; Chee, Seongtaek; Sung, Soo Hak
1998
A note on the Hajek-Renyi inequality for associated random variables. Zbl 1139.60307
Sung, Soo Hak
2008
An analogue of Kolmogorov’s law of the iterated logarithm for arrays. Zbl 0886.60020
Sung, Soo Hak
1996
A note on the exponential inequality for associated random variables. Zbl 1139.60306
Sung, Soo Hak
2007
On the rate of complete convergence for weighted sums of arrays of random elements. Zbl 1112.60003
Sung, Soo Hak; Volodin, Andrei I.
2006
On the security of Rijndael-like structures against differential and linear cryptanalysis. Zbl 1065.68530
Park, Sangwoo; Sung, Soo Hak; Chee, Seongtaek; Yoon, E-Joong; Lim, Jongin
2002
A note on the complete convergence for weighted sums of negatively dependent random variables. Zbl 1280.60023
Sung, Soo Hak
2012
Global avalanche characteristics and propagation criterion of balanced Boolean functions. Zbl 1339.94067
Sung, Soo Hak; Chee, Seongtaek; Park, Choonsik
1999
Complete moment convergence for arrays of rowwise negatively associated random variables and its application in non-parametric regression model. Zbl 1409.60045
Wu, Yi; Wang, Xuejun; Sung, Soo Hak
2018
A note on the rate of complete convergence for weighted sums of arrays of Banach space valued random elements. Zbl 1217.60007
Sung, Soo Hak; Volodin, Andrei
2011
A Baum-Katz theorem for i.i.d. random variables with higher order moments. Zbl 1306.60020
Chen, Pingyan; Sung, Soo Hak
2014
On the weak laws for arrays of random variables. Zbl 1087.60023
Sung, Soo Hak; Hu, Tien-Chung; Volodin, Andrei
2005
On the weak law for randomly indexed partial sums for arrays of random elements in martingale type $$p$$ Banach spaces. Zbl 0957.60006
Hong, Dug Hun; Ordóñez Cabrera, Manuel; Sung, Soo Hak; Volodin, Andrei I.
2000
Almost sure convergence for weighted sums of i.i.d. random variables. Zbl 0882.60025
Sung, Soo Hak
1997
A law of the single logarithm for weighted sums of i.i.d. random elements. Zbl 1165.60003
Sung, Soo Hak
2009
A note on the complete convergence of moving average processes. Zbl 1168.60337
Sung, Soo Hak
2009
Convergence of moving average processes for dependent random variables. Zbl 1219.60034
Sung, Soo Hak
2011
On inverse moments for a class of nonnegative random variables. Zbl 1205.60041
Sung, Soo Hak
2010
On complete convergence and strong law for weighted sums of i.i.d. random variables. Zbl 1469.60090
Chen, Pingyan; Ma, Xiaofang; Sung, Soo Hak
2014
Remark on convergence rate for weighted sums of $$\rho ^*$$-mixing random variables. Zbl 1362.60029
Li, Wei; Chen, Pingyan; Sung, Soo Hak
2017
On Chung’s strong law of large numbers in general Banach spaces. Zbl 0628.60012
Choi, Bong Dae; Sung, Soo Hak
1988
Improving the nonlinearity of certain balanced Boolean functions with good local and global avalanche characteristics. Zbl 1032.68657
Stănică, Pantelimon; Sung, Soo Hak
2001
An extension of the Baum-Katz theorem to i.i.d. random variables with general moment conditions. Zbl 1330.60051
Chen, Pingyan; Yi, Jiaming; Sung, Soo Hak
2015
A Bernstein type inequality for NOD random variables and applications. Zbl 1369.60014
Chen, Pingyan; Sung, Soo Hak
2017
A strong law of large numbers for nonnegative random variables and applications. Zbl 1347.60021
Chen, Pingyan; Sung, Soo Hak
2016
On complete convergence for arrays of random elements. Zbl 1141.60003
Sung, Soo Hak; Urmeneta, Henar; Volodin, Andrei I.
2008
Maximal inequalities for dependent random variables and applications. Zbl 1145.60013
Sung, Soo Hak
2008
Strong laws for weighted sums of i. i. d. random variables. II. Zbl 1027.60028
Sung, Soo Hak
2002
A note on the growth rate in the Fazekas-Klesov general law of large numbers and on the weak law of large numbers for tail series. Zbl 1199.60088
Sung, Soo Hak; Hu, Tien-Chung; Volodin, Andrei
2008
Boolean functions with five controllable cryptographic properties. Zbl 1061.94050
Stănică, Pantelimon; Sung, Soo Hak
2004
On complete convergence for weighted sums of arrays of dependent random variables. Zbl 1231.60025
Sung, Soo Hak
2011
An exponential inequality for negatively associated random variables. Zbl 1181.60049
Sung, Soo Hak
2009
Strong and weak consistency of least squares estimators in simple linear EV regression models. Zbl 1437.62103
Chen, Pingyan; Wen, Luliang; Sung, Soo Hak
2020
Generalized Marcinkiewicz-Zygmund type inequalities for random variables and applications. Zbl 1351.60027
Chen, Pingyan; Sung, Soo Hak
2016
On the strong convergence of weighted sums. Zbl 0989.60037
Giuliano Antonini, Rita; Kwon, Joong Sung; Sung, Soo Hak; Volodin, Andrei I.
2001
On convergence of series of independent random variables. Zbl 1020.60012
Sung, Soo Hak; Volodin, Andrei I.
2001
Weak law of large numbers for arrays. Zbl 1246.60040
Sung, Soo Hak
1998
On complete convergence and complete moment convergence for weighted sums of $$\rho^\ast$$-mixing random variables. Zbl 07445837
Chen, Pingyan; Sung, Soo Hak
2018
On convergence of $$(S_ n-ES_ n)/n^{1/r}$$, $$1<r<2$$, for pairwise independent random variables. Zbl 0585.60043
Choi, Bong Dae; Sung, Soo Hak
1985
On the integrability of $$\sup | S_ n| /n^{1/r}$$ for $$1<r<2$$. Zbl 0622.60035
Choi, Bong Dae; Sung, Soo Hak
1987
Strong limit theorems for pairwise NQD random variables. Zbl 1281.60031
Sung, Soo Hak
2013
Improving bounds for the number of correlation immune Boolean functions. Zbl 1336.94069
Park, Sung Mo; Lee, Sangjin; Sung, Soo Hak; Kim, Kwangjo
1997
On the strong laws of large numbers for weighted sums of random variables. Zbl 1347.60022
Chen, Pingyan; Sung, Soo Hak
2016
A note on the complete convergence for arrays of rowwise independent random elements. Zbl 1146.60007
Sung, Soo Hak
2008
Complete convergence for sums of arrays of random elements. Zbl 0961.60007
Sung, Soo Hak
2000
On complete convergence for arrays of rowwise independent random elements. Zbl 1134.60006
Sung, Soo Hak; Cabrera, Manuel Ordóñez; Hu, Tien-Chung
2007
Weak laws for weighted sums of random variables. Zbl 1053.60018
Sung, Soo Hak
2004
Strong laws of large numbers for positively dependent random variables. Zbl 1423.60054
Chen, Pingyan; Sung, Soo Hak
2019
Strong laws for randomly weighted sums of random variables and applications in the bootstrap and random design regression. Zbl 1439.60032
Chen, Pingyan; Zhang, Tao; Sung, Soo Hak
2019
Convergence rates in the strong law of large numbers for negatively orthant dependent random variables with general moment conditions. Zbl 1413.60017
Chen, Pingyan; Li, Xiaolin; Sung, Soo Hak
2018
On lacunary statistical and $$p$$-Cesàro summability of fuzzy numbers. Zbl 0998.40004
Kwon, Joong Sung; Sung, Soo Hak
2001
On complete convergence of weighted sums of random elements. Zbl 1136.60304
Ordóñez Cabrera, Manuel; Sung, Soo Hak
2002
On convergence of weighted sum for pairwise independent identically distributed random variables. Zbl 0657.60053
Choi, Bong Dae; Sung, Soo Hak
1988
On the Pruss extension of the Hsu-Robbins-Erdős theorem. Zbl 0938.60030
Sung, Soo Hak
1999
A note on Spătaru’s complete convergence theorem. Zbl 0878.60024
Sung, Soo Hak
1997
A self-normalized invariance principle for a $$\phi$$-mixing sequence. Zbl 1324.60034
Moon, Hee-Jin; Sung, Soo Hak; Choi, Yong-Kab
2013
A strong limit theorem for weighted sums of negatively dependent random variables. Zbl 1312.60025
Sung, Soo Hak
2015
Differential and linear cryptanalysis for 2-round spns. Zbl 1161.68438
Chun, Kilsoo; Kim, Seungjoo; Lee, Sangjin; Sung, Soo Hak; Yoon, Seonhee
2003
Finding collision on 45-step HAS-160. Zbl 1185.94071
Yun, Aaram; Sung, Soo Hak; Park, Sangwoo; Chang, Donghoon; Hong, Seokhie; Cho, Hong-Su
2006
Convergence rates in the weak law of large numbers for weighted sums of i.i.d. random variables and applications in errors-in-variables models. Zbl 1436.62071
Zhang, Mingyang; Chen, Pingyan; Sung, Soo Hak
2019
New parallel domain extenders for UOWHF. Zbl 1205.94089
Lee, Wonil; Chang, Donghoon; Lee, Sangjin; Sung, Soohak; Nandi, Mridul
2003
Complete convergence for weighted sums of i.i.d. random variables with applications in regression estimation and EV model. Zbl 1369.60013
Chen, Pingyan; Kong, Ningning; Sung, Soo Hak
2017
Convergence rates in the law of large numbers for long-range dependent linear processes. Zbl 1378.60064
Zhang, Tao; Chen, Pingyan; Sung, Soo Hak
2017
Self-normalized limit theorems for linear processes generated by $$\rho$$-mixing innovations. Zbl 1365.60015
Choi, Yong-Kab; Sung, Soo Hak; Moon, Hee-Jin
2017
Chung-Teicher type strong law of large numbers in Banach space. Zbl 0803.60007
Sung, Soo Hak
1994
On complete convergence for arrays of dependent random variables. Zbl 1319.60061
Sung, Soo Hak
2012
Strong laws for weighted sums of random variables satisfying generalized Rosenthal type inequalities. Zbl 07460822
Yi, Yanchun; Chen, Pingyan; Sung, Soo Hak
2020
Strong and weak consistency of least squares estimators in simple linear EV regression models. Zbl 1437.62103
Chen, Pingyan; Wen, Luliang; Sung, Soo Hak
2020
Strong laws for weighted sums of random variables satisfying generalized Rosenthal type inequalities. Zbl 07460822
Yi, Yanchun; Chen, Pingyan; Sung, Soo Hak
2020
A Spitzer-type law of large numbers for widely orthant dependent random variables. Zbl 1422.60049
Chen, Pingyan; Sung, Soo Hak
2019
Strong laws of large numbers for positively dependent random variables. Zbl 1423.60054
Chen, Pingyan; Sung, Soo Hak
2019
Strong laws for randomly weighted sums of random variables and applications in the bootstrap and random design regression. Zbl 1439.60032
Chen, Pingyan; Zhang, Tao; Sung, Soo Hak
2019
Convergence rates in the weak law of large numbers for weighted sums of i.i.d. random variables and applications in errors-in-variables models. Zbl 1436.62071
Zhang, Mingyang; Chen, Pingyan; Sung, Soo Hak
2019
Complete moment convergence for arrays of rowwise negatively associated random variables and its application in non-parametric regression model. Zbl 1409.60045
Wu, Yi; Wang, Xuejun; Sung, Soo Hak
2018
On complete convergence and complete moment convergence for weighted sums of $$\rho^\ast$$-mixing random variables. Zbl 07445837
Chen, Pingyan; Sung, Soo Hak
2018
Convergence rates in the strong law of large numbers for negatively orthant dependent random variables with general moment conditions. Zbl 1413.60017
Chen, Pingyan; Li, Xiaolin; Sung, Soo Hak
2018
Strong laws for weighted sums of $$\psi$$-mixing random variables and applications in errors-in-variables regression models. Zbl 1370.60053
Hu, Di; Chen, Pingyan; Sung, Soo Hak
2017
Remark on convergence rate for weighted sums of $$\rho ^*$$-mixing random variables. Zbl 1362.60029
Li, Wei; Chen, Pingyan; Sung, Soo Hak
2017
A Bernstein type inequality for NOD random variables and applications. Zbl 1369.60014
Chen, Pingyan; Sung, Soo Hak
2017
Complete convergence for weighted sums of i.i.d. random variables with applications in regression estimation and EV model. Zbl 1369.60013
Chen, Pingyan; Kong, Ningning; Sung, Soo Hak
2017
Convergence rates in the law of large numbers for long-range dependent linear processes. Zbl 1378.60064
Zhang, Tao; Chen, Pingyan; Sung, Soo Hak
2017
Self-normalized limit theorems for linear processes generated by $$\rho$$-mixing innovations. Zbl 1365.60015
Choi, Yong-Kab; Sung, Soo Hak; Moon, Hee-Jin
2017
A strong law of large numbers for nonnegative random variables and applications. Zbl 1347.60021
Chen, Pingyan; Sung, Soo Hak
2016
Generalized Marcinkiewicz-Zygmund type inequalities for random variables and applications. Zbl 1351.60027
Chen, Pingyan; Sung, Soo Hak
2016
On the strong laws of large numbers for weighted sums of random variables. Zbl 1347.60022
Chen, Pingyan; Sung, Soo Hak
2016
An extension of the Baum-Katz theorem to i.i.d. random variables with general moment conditions. Zbl 1330.60051
Chen, Pingyan; Yi, Jiaming; Sung, Soo Hak
2015
A strong limit theorem for weighted sums of negatively dependent random variables. Zbl 1312.60025
Sung, Soo Hak
2015
The von Bahr-Esseen moment inequality for pairwise independent random variables and applications. Zbl 1316.60028
Chen, Pingyan; Bai, Peng; Sung, Soo Hak
2014
A note on the rates of convergence for weighted sums of $$\rho^\ast$$-mixing random variables. Zbl 1319.60065
Wu, Yongfeng; Sung, Soo Hak; Volodin, Andrei
2014
On the strong convergence for weighted sums of negatively associated random variables. Zbl 1291.60055
Chen, Pingyan; Sung, Soo Hak
2014
Marcinkiewicz-Zygmund type strong law of large numbers for pairwise i.i.d. random variables. Zbl 1309.60028
Sung, Soo Hak
2014
A Baum-Katz theorem for i.i.d. random variables with higher order moments. Zbl 1306.60020
Chen, Pingyan; Sung, Soo Hak
2014
On complete convergence and strong law for weighted sums of i.i.d. random variables. Zbl 1469.60090
Chen, Pingyan; Ma, Xiaofang; Sung, Soo Hak
2014
On the strong convergence for weighted sums of $$\rho ^{*}$$-mixing random variables. Zbl 1307.60023
Sung, Soo Hak
2013
Complete $$q$$th moment convergence for arrays of random variables. Zbl 1285.60029
Sung, Soo Hak
2013
Convergence in $$r$$-mean of weighted sums of NQD random variables. Zbl 1256.60016
Sung, Soo Hak
2013
On the strong law of large numbers for pairwise i.i.d. random variables with general moment conditions. Zbl 1285.60030
Sung, Soo Hak
2013
Strong limit theorems for pairwise NQD random variables. Zbl 1281.60031
Sung, Soo Hak
2013
A self-normalized invariance principle for a $$\phi$$-mixing sequence. Zbl 1324.60034
Moon, Hee-Jin; Sung, Soo Hak; Choi, Yong-Kab
2013
Complete convergence for weighted sums of negatively dependent random variables. Zbl 1314.62096
Sung, Soo Hak
2012
A note on the complete convergence for weighted sums of negatively dependent random variables. Zbl 1280.60023
Sung, Soo Hak
2012
On complete convergence for arrays of dependent random variables. Zbl 1319.60061
Sung, Soo Hak
2012
On the strong convergence for weighted sums of random variables. Zbl 1247.60041
Sung, Soo Hak
2011
On the exponential inequalities for negatively dependent random variables. Zbl 1218.60016
Sung, Soo Hak
2011
A note on the exponential inequality for a class of dependent random variables. Zbl 1296.60047
Sung, Soo Hak; Srisuradetchai, Patchanok; Volodin, Andrei
2011
A note on the complete convergence for arrays of dependent random variables. Zbl 1276.60035
Sung, Soo Hak
2011
On the strong law of large numbers for weighted sums of random variables. Zbl 1238.60040
Sung, Soo Hak
2011
A note on the rate of complete convergence for weighted sums of arrays of Banach space valued random elements. Zbl 1217.60007
Sung, Soo Hak; Volodin, Andrei
2011
Convergence of moving average processes for dependent random variables. Zbl 1219.60034
Sung, Soo Hak
2011
On complete convergence for weighted sums of arrays of dependent random variables. Zbl 1231.60025
Sung, Soo Hak
2011
Complete convergence for weighted sums of $$\rho \ast$$-mixing random variables. Zbl 1193.60045
Sung, Soo Hak
2010
On inverse moments for a class of nonnegative random variables. Zbl 1205.60041
Sung, Soo Hak
2010
Moment inequalities and complete moment convergence. Zbl 1180.60019
Sung, Soo Hak
2009
A law of the single logarithm for weighted sums of i.i.d. random elements. Zbl 1165.60003
Sung, Soo Hak
2009
A note on the complete convergence of moving average processes. Zbl 1168.60337
Sung, Soo Hak
2009
An exponential inequality for negatively associated random variables. Zbl 1181.60049
Sung, Soo Hak
2009
Weak laws of large numbers for arrays under a condition of uniform integrability. Zbl 1136.60319
Sung, Soo Hak; Lisawadi, Supranee; Volodin, Andrei
2008
A note on the Hajek-Renyi inequality for associated random variables. Zbl 1139.60307
Sung, Soo Hak
2008
On complete convergence for arrays of random elements. Zbl 1141.60003
Sung, Soo Hak; Urmeneta, Henar; Volodin, Andrei I.
2008
Maximal inequalities for dependent random variables and applications. Zbl 1145.60013
Sung, Soo Hak
2008
A note on the growth rate in the Fazekas-Klesov general law of large numbers and on the weak law of large numbers for tail series. Zbl 1199.60088
Sung, Soo Hak; Hu, Tien-Chung; Volodin, Andrei
2008
A note on the complete convergence for arrays of rowwise independent random elements. Zbl 1146.60007
Sung, Soo Hak
2008
Complete convergence for weighted sums of random variables. Zbl 1108.60026
Sung, Soo Hak
2007
A note on the exponential inequality for associated random variables. Zbl 1139.60306
Sung, Soo Hak
2007
On complete convergence for arrays of rowwise independent random elements. Zbl 1134.60006
Sung, Soo Hak; Cabrera, Manuel Ordóñez; Hu, Tien-Chung
2007
On the rate of complete convergence for weighted sums of arrays of random elements. Zbl 1112.60003
Sung, Soo Hak; Volodin, Andrei I.
2006
Finding collision on 45-step HAS-160. Zbl 1185.94071
Yun, Aaram; Sung, Soo Hak; Park, Sangwoo; Chang, Donghoon; Hong, Seokhie; Cho, Hong-Su
2006
More on complete convergence for arrays. Zbl 1087.60030
Sung, Soo Hak; Volodin, Andrei I.; Hu, Tien-Chung
2005
On the weak laws for arrays of random variables. Zbl 1087.60023
Sung, Soo Hak; Hu, Tien-Chung; Volodin, Andrei
2005
New block cipher: ARIA. Zbl 1092.94509
Kwon, Daesung; Kim, Jaesung; Park, Sangwoo; Sung, Soo Hak; Sohn, Yaekwon; Song, Jung Hwan; Yeom, Yongjin; Yoon, E-Joong; Lee, Sangjin; Lee, Jaewon; Chee, Seongtaek; Han, Daewan; Hong, Jin
2004
Boolean functions with five controllable cryptographic properties. Zbl 1061.94050
Stănică, Pantelimon; Sung, Soo Hak
2004
Weak laws for weighted sums of random variables. Zbl 1053.60018
Sung, Soo Hak
2004
Improving the upper bound on the maximum differential and the maximum linear hull probability for SPN structures and AES. Zbl 1254.94040
Park, Sangwoo; Sung, Soo Hak; Lee, Sangjin; Lim, Jongin
2003
Complete convergence for arrays of rowwise independent random variables. Zbl 1101.60324
Hu, Tien-Chung; Ordóñez Cabrera, Manuel; Sung, Soo Hak; Volodin, Andrei
2003
Impossible differential cryptanalysis for block cipher structures. Zbl 1123.94352
Kim, Jongsung; Hong, Seokhie; Sung, Jaechul; Lee, Sangjin; Lim, Jongin; Sung, Soohak
2003
Differential and linear cryptanalysis for 2-round spns. Zbl 1161.68438
Chun, Kilsoo; Kim, Seungjoo; Lee, Sangjin; Sung, Soo Hak; Yoon, Seonhee
2003
New parallel domain extenders for UOWHF. Zbl 1205.94089
Lee, Wonil; Chang, Donghoon; Lee, Sangjin; Sung, Soohak; Nandi, Mridul
2003
On the security of Rijndael-like structures against differential and linear cryptanalysis. Zbl 1065.68530
Park, Sangwoo; Sung, Soo Hak; Chee, Seongtaek; Yoon, E-Joong; Lim, Jongin
2002
Strong laws for weighted sums of i. i. d. random variables. II. Zbl 1027.60028
Sung, Soo Hak
2002
On complete convergence of weighted sums of random elements. Zbl 1136.60304
Ordóñez Cabrera, Manuel; Sung, Soo Hak
2002
Strong laws for weighted sums of i. i. d. random variables. Zbl 1020.60016
Sung, Soo Hak
2001
Improving the nonlinearity of certain balanced Boolean functions with good local and global avalanche characteristics. Zbl 1032.68657
Stănică, Pantelimon; Sung, Soo Hak
2001
On the strong convergence of weighted sums. Zbl 0989.60037
Giuliano Antonini, Rita; Kwon, Joong Sung; Sung, Soo Hak; Volodin, Andrei I.
2001
On convergence of series of independent random variables. Zbl 1020.60012
Sung, Soo Hak; Volodin, Andrei I.
2001
On lacunary statistical and $$p$$-Cesàro summability of fuzzy numbers. Zbl 0998.40004
Kwon, Joong Sung; Sung, Soo Hak
2001
On the weak law for randomly indexed partial sums for arrays of random elements in martingale type $$p$$ Banach spaces. Zbl 0957.60006
Hong, Dug Hun; Ordóñez Cabrera, Manuel; Sung, Soo Hak; Volodin, Andrei I.
2000
Complete convergence for sums of arrays of random elements. Zbl 0961.60007
Sung, Soo Hak
2000
Weak law of large numbers for arrays of random variables. Zbl 0948.60018
Sung, Soo Hak
1999
Global avalanche characteristics and propagation criterion of balanced Boolean functions. Zbl 1339.94067
Sung, Soo Hak; Chee, Seongtaek; Park, Choonsik
1999
On the Pruss extension of the Hsu-Robbins-Erdős theorem. Zbl 0938.60030
Sung, Soo Hak
1999
Global avalanche characteristics and nonlinearity of balanced Boolean functions. Zbl 1337.94071
Son, Jung Je; Lim, Jong In; Chee, Seongtaek; Sung, Soo Hak
1998
Weak law of large numbers for arrays. Zbl 1246.60040
Sung, Soo Hak
1998
Complete convergence for weighted sums of arrays of rowwise independent $$B$$-valued random variables. Zbl 0902.60011
Sung, Soo Hak
1997
Almost sure convergence for weighted sums of i.i.d. random variables. Zbl 0882.60025
Sung, Soo Hak
1997
Improving bounds for the number of correlation immune Boolean functions. Zbl 1336.94069
Park, Sung Mo; Lee, Sangjin; Sung, Soo Hak; Kim, Kwangjo
1997
A note on Spătaru’s complete convergence theorem. Zbl 0878.60024
Sung, Soo Hak
1997
On the correlation immune functions and their nonlinearity. Zbl 1006.94535
Chee, Seongtaek; Lee, Sangjin; Lee, Daiki; Sung, Soo Hak
1996
An analogue of Kolmogorov’s law of the iterated logarithm for arrays. Zbl 0886.60020
Sung, Soo Hak
1996
Chung-Teicher type strong law of large numbers in Banach space. Zbl 0803.60007
Sung, Soo Hak
1994
On Chung’s strong law of large numbers in general Banach spaces. Zbl 0628.60012
Choi, Bong Dae; Sung, Soo Hak
1988
On convergence of weighted sum for pairwise independent identically distributed random variables. Zbl 0657.60053
Choi, Bong Dae; Sung, Soo Hak
1988
Almost sure convergence theorems of weighted sums of random variables. Zbl 0633.60049
Choi, Bong Dae; Sung, Soo Hak
1987
On moment conditions for the supremum of normed sums. Zbl 0631.60014
Choi, Bong Dae; Sung, Soo Hak
1987
On the integrability of $$\sup | S_ n| /n^{1/r}$$ for $$1<r<2$$. Zbl 0622.60035
Choi, Bong Dae; Sung, Soo Hak
1987
On convergence of $$(S_ n-ES_ n)/n^{1/r}$$, $$1<r<2$$, for pairwise independent random variables. Zbl 0585.60043
Choi, Bong Dae; Sung, Soo Hak
1985
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### Cited by 521 Authors

 66 Wang, Xuejun 53 Sung, Soohak 40 Hu, Shuhe 38 Volodin, Andrei I. 37 Chen, Pingyan 25 Shen, Aiting 24 Wu, Yi 20 Yang, Wenzhi 16 Rosalsky, Andrew 15 Hu, Tienchung 15 Wu, Yongfeng 14 Wu, Qunying 12 Li, Xiaoqin 12 Wang, Xinghui 11 Lita da Silva, João 10 Qiu, Dehua 8 Huang, Haiwu 8 Miao, Yu 7 Deng, Xin 7 Li, Deli 7 Ordóñez Cabrera, Manuel H. 7 Shen, Yan 6 Wang, Dingcheng 6 Xu, Shoufang 5 Fazekas, István 5 Gan, Shixin 5 Guo, Mingle 5 Urmeneta, Henar 4 Cai, Guanghui 4 Feng, Fengxiang 4 Ge, Meimei 4 Li, Wei 4 Liu, Xiangdong 4 Peng, Jiangyan 4 Song, Mingzhu 4 Yu, Wei 4 Zhang, Qingxia 4 Zhang, Yu 4 Zhou, Yu 3 Ahmed, Syed Ejaz 3 Chen, Ling 3 Daemen, Joan 3 Fouque, Pierre-Alain 3 Hernández, Victor M. 3 Jiang, Yuanying 3 Lê Vǎn Thành 3 Liu, Tingting 3 Lu, Chao 3 Maitra, Subhamoy 3 Oliveira, Paulo Eduardo 3 Pasalic, Enes 3 Pecsora, Sándor 3 Quang, Nguyen Van 3 Shibutani, Kyoji 3 Spătaru, Aurel 3 Sung, Sa Hong 3 Tang, Xufei 3 Van Dung, Le 3 Wu, Ranchao 3 Xia, Fengxi 3 Zhang, Weiguo 3 Zhu, Dongjin 2 Aslan, Bora 2 Bogdanov, Andrey 2 Bouillaguet, Charles 2 Boukhari, Fakhreddine 2 Boura, Christina 2 Chen, Kan 2 Chen, Zhiyong 2 Chew, Guanhan 2 Choi, Bong Dae 2 Choy, Jiali 2 Derbez, Patrick 2 Dong, Xinfeng 2 Fang, Guohua 2 Giuliano Antonini, Rita 2 Hao, Shunli 2 Hien, Nguyen Thi Thanh 2 Hu, Di 2 Hu, Hongchang 2 Hu, Xueping 2 Huang, Meiling 2 Khoo, Khoongming 2 Korchevsky, Valery M. 2 Leurent, Gaëtan 2 Li, Chao 2 Ling, Nengxiang 2 Ma, Huanhuan 2 Malyshev, Fëdor Mikhaĭlovich 2 Mei, Changlin 2 Meng, Bing 2 Nezakati, Ahmad 2 Rijmen, Vincent 2 Sakallı, Muharrem Tolga 2 Son, Ta Cong 2 Sreehari, Maddipatla 2 Suder, Valentin 2 Sun, Bing 2 Tang, Ling 2 van Huan, Nguyen ...and 421 more Authors
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### Cited in 95 Serials

 56 Journal of Inequalities and Applications 45 Communications in Statistics. Theory and Methods 40 Statistics & Probability Letters 19 Statistical Papers 17 Journal of Mathematical Inequalities 16 Stochastic Analysis and Applications 13 Stochastics 11 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 10 Journal of Mathematical Analysis and Applications 10 Acta Mathematica Hungarica 9 Abstract and Applied Analysis 9 Discrete Dynamics in Nature and Society 8 Filomat 7 Designs, Codes and Cryptography 6 Discrete Applied Mathematics 6 Statistics 6 Lobachevskii Journal of Mathematics 5 Information Processing Letters 5 Journal of Theoretical Probability 5 Test 5 Applied Mathematics. Series B (English Edition) 5 Wuhan University Journal of Natural Sciences (WUJNS) 5 Acta Mathematica Sinica. English Series 4 Journal of Statistical Planning and Inference 4 Journal of Mathematical Sciences (New York) 4 Open Mathematics 3 Bulletin of the Australian Mathematical Society 3 Lithuanian Mathematical Journal 3 Metrika 3 Collectanea Mathematica 3 Mathematica Slovaca 3 Acta Mathematicae Applicatae Sinica. English Series 3 Applications of Mathematics 3 Journal of Statistical Computation and Simulation 3 Journal of Systems Science and Complexity 3 Journal of the Korean Statistical Society 3 Cryptography and Communications 2 Computers & Mathematics with Applications 2 Journal of Statistical Physics 2 Theory of Probability and its Applications 2 Kybernetika 2 Bulletin of the Korean Mathematical Society 2 Journal of Nonparametric Statistics 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Frontiers of Mathematics in China 2 Journal of Probability and Statistics 2 The Scientific World Journal. Probability and Statistics 2 Matematicheskie Voprosy Kriptografii 1 Mathematical Notes 1 Annals of the Institute of Statistical Mathematics 1 The Annals of Statistics 1 Computing 1 Demonstratio Mathematica 1 Information Sciences 1 Journal of Computational and Applied Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Results in Mathematics 1 Theoretical Computer Science 1 Probability Theory and Related Fields 1 Journal of Complexity 1 Journal of Cryptology 1 International Journal of Foundations of Computer Science 1 Discrete Mathematics and Applications 1 Communications in Statistics. Simulation and Computation 1 International Journal of Computer Mathematics 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 SIAM Journal on Optimization 1 Cybernetics and Systems Analysis 1 Theory of Probability and Mathematical Statistics 1 Electronic Research Announcements of the American Mathematical Society 1 Bernoulli 1 Mathematical Problems in Engineering 1 Australian & New Zealand Journal of Statistics 1 Revista Matemática Complutense 1 Journal of Applied Statistics 1 Extremes 1 Probability in the Engineering and Informational Sciences 1 Journal of Applied Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Stochastics and Dynamics 1 Computational Methods and Function Theory 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Statistical Methodology 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Mathematical Cryptology 1 Advances in Mathematics of Communications 1 Sankhyā. Series A 1 Frontiers of Computer Science in China 1 Frontiers of Computer Science 1 Journal of Discrete Mathematics 1 Special Matrices 1 Modern Stochastics. Theory and Applications 1 Annales Henri Lebesgue
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### Cited in 23 Fields

 349 Probability theory and stochastic processes (60-XX) 111 Statistics (62-XX) 58 Information and communication theory, circuits (94-XX) 11 Order, lattices, ordered algebraic structures (06-XX) 8 Functional analysis (46-XX) 6 Computer science (68-XX) 5 Sequences, series, summability (40-XX) 4 Combinatorics (05-XX) 2 Mathematical logic and foundations (03-XX) 2 Number theory (11-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Group theory and generalizations (20-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Operations research, mathematical programming (90-XX)