교수소개

성수학 교수 성수학교수
  • 연락처042-520-5369
  • E-mailsungsh@pcu.ac.kr
  • 연구실자연과학관 224호
  • 강의과목미분적분학, 통계학, 고등미적분학, 암호론, 확률과통계

전공

  • 딥러닝
  • 확률통계학
  • 암호학

학력사항

  • 한국과학기술원 이학박사(응용수학 전공)

논문

  • The Kolmogorov strong law of large numbers for WOD random variables, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2023.
  • Convergence rate for weighted sums of psi-mixing random variables and applications, Journal of Mathematical Inequalities, 2022.
  • A Marcinkiewicz-Zygmund type strong law for weighted sums of phi-mixing random variables and its applications, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022.
  • Complete convergence for weighted sums of widely orthant-dependent random variables, JOURNAL OF INEQUALITIES AND APPLICATIONS, 2021.
  • Complete Convergence for Randomly Weighted Sums of Random Variables Satisfying Some Moment Inequalities, Acta Mathematica Sinica, English Series, 2021.
  • STRONG CONSISTENCY OF LS ESTIMATORS IN SIMPLE LINEAR EV REGRESSION MODELS WITH WOD ERRORS, JOURNAL OF MATHEMATICAL INEQUALITIES, 2021.
  • Further Spitzer's law for widely orthant dependent random variables, JOURNAL OF INEQUALITIES AND APPLICATIONS, 2021.
  • 2018. 10 Improved direct power control for grid-connected voltage source converters
  • 2018. 01 Coordinated control of wind turbine and energy sotrage system for reducing wind power fluctuation
  • 2017. 10 Direct power control of grid connected voltage source inverters using port-controlled hamiltonian system
  • On the Jajte strong law of large numbers, STATISTICS PROBABILITY LETTERS, 2021.
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  • ROSENTHAL TYPE INEQUALITIES FOR RANDOM VARIABLES, JOURNAL OF MATHEMATICAL INEQUALITIES, 2020.
  • Strong and weak consistency of least squares estimators in simple linear EV regression models, JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2020.
  • Strong laws for weighted sums of random variables satisfying generalized Rosenthal type inequalities, JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020.
  • STRONG LAWS FOR RANDOMLY WEIGHTED SUMS OF RANDOM VARIABLES AND APPLICATIONS IN THE BOOTSTRAP AND RANDOM DESIGN REGRESSION, STATISTICA SINICA, 2019.
  • Weak laws of large numbers for nonnegative independent random variables without finite means, COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 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, STOCHASTICS AND DYNAMICS, 2019.
  • A Spitzer-type law of large numbers for widely orthant dependent random variables, STATISTICS PROBABILITY LETTERS, 2019.
  • Strong laws of large numbers for positively dependent random variables, REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2019.
  • Asymptotic normality and mean consistency for the weighted estimator in nonparametric regression models, JOURNAL OF THE KOREAN STATISTICAL SOCIETY, 2019.
  • Complete moment convergence for Sung's type weighted sums of rho star-mixing random variables, FILOMAT, 2018.
  • Convergence rates in the strong law of large numbers for negatively orthant dependent random variables with general moment conditions, PUBLICATIONES MATHEMATICAE-DEBRECEN, 2018.
  • COMPLETE MOMENT CONVERGENCE FOR ARRAYS OF ROWWISE NEGATIVELY ASSOCIATED RANDOM VARIABLES AND ITS APPLICATION IN NON-PARAMETRIC REGRESSION MODEL, PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES, 2018.
  • On complete convergence and complete moment convergence for weighted sums of rho*-mixing random variables, JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018.
  • Convergence rates in the law of large numbers for long-range dependent linear processes, JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017.
  • Strong laws for weighted sums of ψ-mixing random variables and applications in errors-in-variables regression models, TEST, 2017.
  • A BERNSTEIN TYPE INEQUALITY FOR NOD RANDOM VARIABLES AND APPLICATIONS, JOURNAL OF MATHEMATICAL INEQUALITIES, 2017.
  • Remark on convergence rate for weighted sums of p*-mixing random variables, REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2017.
  • Complete convergence for weighted sums of i.i.d. random variables with applications in regression estimation and EV model, COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2017.
  • Self-normalized limit theorems for linear processes generated by rho-mixing innovations, LITHUANIAN MATHEMATICAL JOURNAL, 2017.
  • A note on the strong laws of large numbers for random variables, ACTA MATHEMATICA HUNGARICA, 2016.
  • On the strong laws of large numbers for weighted sums of random variables, STATISTICS PROBABILITY LETTERS, 2016.
  • A strong law of large numbers for nonnegative random variables and applications, STATISTICS PROBABILITY LETTERS, 2016.
  • GENERALIZED MARCINKIEWICZ–ZYGMUND TYPE INEQUALITIES FOR RANDOM VARIABLES AND APPLICATIONS, Journal of Mathematical Inequalities, 2016.
  • Complete moment convergence for Sung's type weighted sums of B-valued random elements, DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2016.
  • Complete convergence and strong laws of large numbers for weighted sums of negatively orthant dependent random variables, ACTA MATHEMATICA HUNGARICA, 2016.
  • An extension of the Baum-Katz theorem to i.i.d. random variables with general moment conditions, Journal of Inequalities and Applications, 2015.
  • A strong limit theorem for weighted sums of negatively dependent random variables, Communications in Statistics-Theory and Methods, 2015.
  • A Baum-Katz theorem for i.i.d. random variables with higher order moments, Statistics & Probability Letters, 2014.
  • The von Bahr-Esseen moment inequality for pairwise independent random variables and applications, Journal of Mathematical Analysis and Applications, 2014.
  • On complete convergence and strong law for weighted sums of i.i.d. random variables, Abstract and Applied Analysis, 2014.
  • On the strong convergence for weighted sums of negatively associated random variables, Statistics and Probability Letters, 2014.
  • A note on the rates of convergence for weighted sums of rho (*) -mixing random variables, LITHUANIAN MATHEMATICAL JOURNAL, 2014.
  • Marcinkiewicz-Zygmund Type Strong Law of Large Numbers for Pairwise i.i.d. Random Variables, JOURNAL OF THEORETICAL PROBABILITY, 2014.
  • On complete convergence and the strong law of large numbers for pairwise independent random variables, Acta Mathematica Hungarica, 2014.
  • Strong limit theorems for pairwise NQD random variables, COMMUNICATIONS IN STATISTICS-THEORY AND METHODS , 2013.
  • On the strong law of large numbers for pairwise i.i.d. random variables with general moment conditions, STATISTICS & PROBABILITY LETTERS, 2013.
  • On the strong convergence for weighted sums of rhostar-mixing random variables, Statistical Papers, 2013.
  • A SELF-NORMALIZED INVARIANCE PRINCIPLE FOR A phi-MIXING SEQUENCE, PERIODICA MATHEMATICA HUNGARICA, 2013.
  • Complete qth moment convergence for arrays of random variables, JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013.
  • Convergence in r-mean of weighted sums of NQD random variables, APPLIED MATHEMATICS LETTERS, 2013.
  • Complete convergence for arrays of negatively dependent random variables, Informatics and its Applications, 2012.
  • A note on the complete convergence for weighted sums of negatively dependent random variables, Journal of Inequalities and Applications, 2012.
  • On complete convergence for arrays of dependent random variables, Communications in Statistics-Theory and Methods, 2012.
  • Complete convergence for weighted sums of negatively dependent random variables, Statistical Papers, 2012.
  • On complete convergence for weighted sums of arrays of dependent random variables, Abstract and Applied Analysis, 2011.
  • On the strong law of large numbers for weighted sums of random variables, Computers & Mathematics with Applications, 2011.
  • A note on the complete convergence for arrays of dependent random variables, Journal of Inequalities and Applications, 2011.
  • On the exponential inequalities for negatively dependent random variables, Journal of Mathematical Analysis and Applications, 2011.
  • On the strong convergence for weighted sums of random variables, Statistical Papers, 2011.
  • Convergence of moving average processes for dependent random variables, Communications in Statistics-Theory and Methods, 2011.
  • A note on the rate of complete convergence for weighted sums of arrays of Banach space valued random elements, Stochastic Analysis and Applications, 2011.
  • A note on the exponential inequality for a class of dependent random variables, Journal of the Korean Statistical Society, 2011.
  • On inverse moments for a class of nonnegative random variables, Journal of Inequalities and Applications, 2010.
  • Complete convergence for weighted sums of rho^*-mixing random variables, Discrete Dynamics in Nature and Society, 2010.
  • Complete convergence for weighted sums of random elements, Bulletin of the Korean Mathematical Society, 2010.
  • Moment inequalities and complete moment convergence, J Inequal Appl, 2009.
  • An exponential inequality for negatively associated random variables, J Inequal Appl, 2009.
  • A note on the complete convergence of moving average processes, STAT PROBABIL LETT, 2009.
  • A law of the single logarithm for weighted sums of i.i.d. random elements, STAT PROBABIL LETT, 2009.
  • On complete convergence for weighted sums of i.i.d. random variables with application to moving average processes, Bull Korean Math Soc, 2009.
  • 분할방식에 의한 N-설계 콜센터의 근사 성능분석, 멀티미디어학회논문지, 2009.
  • A note on the complete convergence for arrays of rowwise independent random elements, Statistics and Probability Letters, 2008.
  • Maximal inequalities for dependent random variables and applications, Journal of inequalities and applications, 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, PUBL MATH-DEBRECEN, 2008.
  • On complete convergence for arrays of random elements, STOCH ANAL APPL, 2008.
  • A note on the Hajek-Renyi inequality for associated random variables, STAT PROBABIL LETT, 2008.
  • Weak laws of large numbers for arrays under a condition of uniform integrability, J KOREAN MATH SOC, 2008.
  • A note on the exponential inequality for associated random variables, STAT PROBABIL LETT, 2007.
  • On complete convergence for arrays of rowwise independent random elements, J KOREAN MATH SOC, 2007.
  • Complete convergence for weighted sums of random variables, STAT PROBABIL LETT, 2007.
  • Collision search attack for 53-Step HAS-160, LECT NOTES COMPUT SC, 2006.
  • Rate of complete convergence for arrays of Banach space valued random elements, Siberian Advances in Mathematics, 2006.
  • On the weak laws with random indices for partial sums for arrays of random elements in martingale type p Banach spaces, Bulletin of the Korean Mathematical Society(대한수학회보), 2006.
  • On the rate of complete convergence for weighted sums of arrays of random elements, Journal of the Korean Mathematical Society(대한수학회지), 2006.
  • Finding collision on 45-step HAS-160, LECTURE NOTES IN COMPUTER SCIENCE, 2006.
  • Design of block ciphers and coding theory, Trends in Mathematics, 2005.
  • New method for bounding the maximum differential probability for SPNs and ARIA, Lecture Notes in Computer Science, 2005.
  • On the weak laws for arrays of random variables, Statistics & Probability Letters, 2005.
  • More on complete convergence for arrays, Statistics & Probability Letters, 2005.
  • Construction of UOWHF: Two new parallel methods, IEICE Trans. Fundamentals, 2005.
  • Impossibility of construction of OWHF and UOWHF from PGV model based on block cipher secure against ACPCA, Lecture Notes in Computer Science, 2004.
  • Weak laws for weighted sums of random variables, Bull. Korean Math. Soc., 2004.
  • New block cipher: ARIA, Lecture Notes in Computer Science, 2004.
  • Improving the upper bound on the maximum differential and the maximum linear hull probability for SPN structures and AES, Lecture Notes in Computer Science, 2003.
  • Boolean functions with five controllable cryptographic properties, Designs, Codes and Cryptography, 2004.
  • Impossible differential cryptanalysis for block cipher structures, Lecturer Notes in Computer Science, 2003.
  • New parallel domain extensions for UOWHF, Lecture Notes in Computer Sciences, 2003.
  • Differential and linear cryptanalysis for 2-round SPNs, Information Processing Letters, 2003.
  • Complete convergence for arrays of rowwise independent random variables, Commun. Korean Math. Soc., 2003.
  • I.I.D. 확률변수의 가중합에 대한 강법칙, Bull. Korean Math. Soc., 2002.
  • On the security of reduced version of 3-pass HAVAL, Lecture Notes in Computer Sciences, 2002.
  • Rijndael 블록 암호의 최대 차분 확률과 최대 선형 hull 확률의 상한, , 2002.
  • MAC 알고리즘에 대한 연구 동향, 정보보호학술발표회 논문집, 2002.
  • 5 라운드 RC6 유사구조에 대한 DC 및 LC의 증명 가능한 안전성, 정보보호학술발표회 논문집, 2002.
  • Rijndael 유사 구조의 차분 공격과 선형 공격에 대한 안전성에 관한 연구, 정보보호학술발표논문집, 2002.
  • PKC'98에 제안된 해쉬 함수의 original version에 대한 전체 라운드 차분 공격, 정보보호학회논문지, 2002.
  • 마아팅게일 p 타입 바나하 공간 상의 확률 변수 배열에 대한 평균 수렴 정리, Bulletin of the Institute of Mathematics Academia Sinica, 2002.
  • 벡터 값을 갖는 확률 변수의 가중합에 대한 완전 수렴성, Stochastic Analysis and Applications, 2002.
  • SPN 구조 블록 암호의 차분 공격 및 선형 공격에 대한 안전성을 측정하는 고속 알고리즘, 정보보호학회논문지, 2001.
  • On convergence of series of independent random variables, Bull. Korean Math. Soc., 2001.
  • On the weak law for randomly indexed partial sums for arrays, Comm. Korean Math. Soc., 2001.
  • On lacunary statistical and p-Cesaro summability of fuzzy numbers, The Journal of Fuzzy Mathematics, 2001.
  • On the strong convergence of weighted sums, Stochastic Analysis and Applications, 2001.
  • Improving the nonlinearity of certain balanced Boolean functions with good local and global avalanch characteristics, Information Processing Letters, 2001.
  • Strong laws for weighted sums of i.i.d. random variables, Statistics & Probability Letters, 2001.
  • Complete convergence for arrays of rowwise independent random variables(II), Buletin of the Korean Mathematical Society, 2000.
  • On the weak law for randomly indexed partial sums for arrays of random elements in martingale type p Banach spaces, Statistics & Probability Letters, 2000.
  • Complete convergence for sums of arrays of random elements, Internat. J. Math. & Math. Sci., 2000.
  • Linear approximation of integer additions, Electronics Letters, 1999.
  • Weak law of large numbers for arrays of random variables, Statistics & Probability Letters, 1999.
  • Again on the Weak Law in Martingale Type p Banach Spaces, Extracta Mathematicae, 1999.
  • Global avalanche characteristics and propagation criterion of balanced Boolean functions, Information Processing Letters, 1999.
  • Developments in generalised Feistel networks, Electronics Letters, 1999.
  • Strong law of large numbers for weighted sums of pairwise independent random variables, Bulletin of the Institute of Mathematics Academia Sinica, 1999.
  • Feistel 형태의 암호의 안전성, 정보보호와 암호에 관한 학술대회, 1998.
  • 쌍별독립인 확률변수에 대한 대수의 강법칙, 자연과학논문집, 1999.
  • STRONG LAWS FOR ARRAYS OF RANDOM VARIABLES, Bull. Korean Math. Soc., 1998.
  • 대역확산특성이 우수한 균형인 부울함수 설계, 통신정보보호학회논문지, 1998.
  • Weak law of large numbers for arrays, Statistics & Probability Letters, 1998.
  • SLLN FOR WEIGHTED SIMS OF STOCHASTICALLY DOMINATED PAIRWISE INDEPENDENT RANDOM VARIABLES, Communications of the Korean Mathematical Society, 1998.
  • Global avalanche characteristics and nonlinearity of balanced Boolean functions, Information Processing Letters, 1998.
  • 균형인 부울함수의 대역확산특성, 통신정보보호학회논문지, 1997.
  • On the strong law of large numbers for pairwise I.I.D. random variables, Bull. Korean Math. Soc., 1997.
  • 상관면역 함수의 계수, 통신정보보호학회논문지, 1997.
  • Complete convergence for weighted sums of arrays of rowwise independent B-valued random variables, Stochastic Analysis and Applications, 1997.
  • Improving bounds for the number of correlation immune Boolean functions, Information Processing Letters, 1997.
  • A Note on Spataru's Complete Convergence Theorem, Journal of Mathematical Analysis and Applications, 1997.
  • Almost sure convergence for weighted sums of I.I.D. random variables (Ⅰ), J. Korean Math. Soc., 1997.
  • 바나하 공간에서의 완전 수렴성, 자연과학논문집, 1997.
  • An analogue of Kolmogorov's law of the iterated logarithm for arrays, Bull. Austral. Math. Soc., 1996.
  • 상관면역 함수와 비선형치, 통신정보보호학회 논문지, 1996.
  • Almost sure convergence for weighted sums of I.I.D random variables (Ⅱ), Bull. Korean Math. Soc., 1996.
  • 가중합에 대한 거의 확실한 수렴성 연구, 자연과학논문집, 1996.
  • Complete convergence for weighted sums of arrays of random elements, J. Korean Math. Soc., 1995.
  • 시각제어 쉬프트 레지스터에 관하여, 통신정보보호학회지, 1995.

저역서

  • 기초부터 배우는 대학수학 2, 청문각, 2008.
  • 기초부터 배우는 대학수학 1, 청문각, 2008.
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