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SUMS: 作品数：166被引量：230H指数：8; 导出分析报告; 相关作者：裴晓雯吴茂全张振华曾国辉马李刚更多>>; 相关机构：沈阳化工学院中国人民解放军海军工程学院浙江工商大学上海工程技术大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金中国博士后科学基金国家教育部博士点基金安徽省自然科学基金更多>>

Large deviation principles for stationary NA sequences被引量：1: 《Chinese Science Bulletin》1998年第7期536-540,共5页HU Yijun Department of Mathematics, Wuhan University, Wuhan 430072, China; theNationalNaturalScienceFoundationofChina (GrantNo .195 0 10 33); Under general conditions, the large deviation principles for partial sums of stationary NA sequences are proved.; 关键词：NA SEQUENCE STATIONARY SEQUENCE PARTIAL SUMS large deviation principle.

Strong stability of generalized Jamison's weighted sums of NA sequences被引量：4: 《Chinese Science Bulletin》1998年第5期389-392,共0页Yuebao Wang Xuguo Liu Qiong Liang; TheworkwassupportedbytheNaturalScienceFoundationofHigherLearningofGuangdongProvince; The a.s. convergence of NA series as the point of departure is studied.; 关键词：NA SEQUENCES WEIGHTED SUMS STRONG stability.

Calculation of correlation function of binary periodic sequences: 《Chinese Science Bulletin》1997年第13期1065-1068,共4页LI ChaoDepartment of System Engineering and Mathematics, National University of Defense Technology, Changsha 410073, China State Key Laboratory of Mobile Communication, Southeast University, Nanjing 210018, China; SINCE Olsen and Lempel constructed a family of optimal key sequences (called Bent se-quences) by using the trace function over finite field in 1982, the theory of trace functionhas been widely used in spread-spectrum ...; 关键词：EXPONENTIAL SUMS QUADRATIC FORMS periodic SEQUENCES correlation functions.

Reciprocal sums of a class of additive functions in short intervals: 《Chinese Science Bulletin》1997年第2期102-105,共4页ZHAI WenguangDepartment of Mathematics, Shandong Normal University, Jinan 250014, China; USING the method of probabilistic number-theory, De Koninck, and De Koninck and Galambos studied the reciprocal sum of the additive function f（n） satisfying f（n）≥t₀>0 （n≥2） and f（p）≡1 and obta...; 关键词：ADDITIVE functions RIEMANN ZETA-FUNCTION ASYMPTOTIC formula.

Convergence on randomly trimmed sums with a ψ-mixing sample:: 《Chinese Science Bulletin》1996年第18期1497-1500,共4页林正炎; Project supported by the National Natural Science Foundation of China;the Natural Science Foundation of Zhejiang Province.; where α_n and β_n are integers with 0≤α_n<β_n≤n. For an i.i.d, sequence {X_n}, many authors studied the asymptotic behavior of the trimmed sums T_n. In this note, we try extending the research extent in two d...; 关键词：randomly trimmed SUMS Ψ-MIXING a.s. CONVERGENCE ASYMPTOTIC normality.

A Class of Sums Involving the Smallest Prime Factor of an Integer: 《Chinese Science Bulletin》1994年第14期1155-1160,共6页曹惠中; Project supported by the National Natural Science Foundation of China; Let p(n) and Q(n) stand for the smallest and the largest prime factors of the natural number n, respectively. Recently, the sums involving reciprocals of the functions p(n) and Q(n) were studied by Erds, Ivié et al. ...; 关键词：the smallest PRIME FACTOR the LARGEST PRIME FACTOR ADDITIVE function.

On the Distribution of {x/n}: 《Chinese Science Bulletin》1993年第19期1596-1600,共5页王炜; 1 Introduction Let x be a large real number. Study of the famous Dirichlet’s divisor problem suggests that for positive integers n≤x. Distribution of {x/n} in [0, 1) is fairly even. For any given real number α sati...; 关键词：DIVISOR PROBLEM EXPONENT PAIRS trigonometric sums.

On Generalized D. H. Lehmer's Problem: 《Chinese Science Bulletin》1993年第16期1340-1345,共6页郑志勇; Project supported by the Mathematics Tianyuan Foundation.; 1 Introduction Suppose q≥5 is an odd number, for any integers a, (a, q)=1, a stands for the solution of congruence ax≡1(modq) in the interval 1≤x≤q-1. We denote L(q) by L(q)={a|a∈Z, 1≤a≤q-1, (a, q)=1, a+a≡1 (m...; 关键词：CHARACTER SUMS GAUSS SUMS Kloosterman SUMS

ON THE COMPLETE CONVERGENCE FOR RANDOMLY SELECTED SEQUENCES被引量：1: 《Chinese Science Bulletin》1990年第2期93-98,共6页邵启满; Project supported by the National Natural Science Foundation of China.; It is well known that there are many authors who have thoroughly investigated the complete convergence for non-random partial sums of i. i. d. random variables, such as Katz and Baum, BAI Zhi-dong and SHU Chun. In [2]...; 关键词：COMPLETE CONVERGENCE RANDOM PARTIAL sums.

THE CONVERGENCE RATES OF SUMS OF WEIGHTED RANDOM VARIABLES WITH APPLICATIONS TO REGRESSION MODELS: 《Chinese Science Bulletin》1988年第6期445-447,共3页朱力行成平; Let {ε_n, n ≥ 1} be a series of random variables and {α_n, n ≥ 1} a series; 关键词：illustrate INFINITY BOUNDS estimates satisfying extremely INFINITE variance reversed

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