φ－混合序列大数律的收敛速度

在不加任何矩条件限制的情形下，研究了φ－混合序列大数律的收敛速度问题，得到了若干充分必要条件．     

ψ－混合序列大数律的收敛速度

在不加任何矩条件限制的情形下，研究了ψ－混合序列大数律的收敛速度问题，得到了若干充分必要条件．     

关于两两NQD列的若干极限性质

本文讨论了两两ＮＱＤ列的Ｍａｒｃｉｎｋｉｅｗｉｃｚ型弱大数律及Ｊａｍｉｓｏｎ型加权和的强稳定性，指出了两两ＮＱＤ列与独立列的一个本质性区别，从而提出了解决两两ＮＱＤ旬几乎处处收敛和完全收敛的一种方式。     

多指标随机变量Marcinkiewica大数定律完全收敛性和收敛速度

本文考虑指标在Ｚ＾ｄ＋，ｄ≥１中的独立同分布随机变量序列，得到了有关大数定律完全收敛性和收敛速度等一些结果。     

多指标随机变量Marcinkiewicz大数定律完全收敛性和收敛速度

本文考虑指标在，ｄ≥１中的独立同分布随机变量序列，得到了有关大数定律的完全收敛性和收敛速度等一些结果．     

截断样本下最近邻估计的强一致收敛速度

本文用最近邻方法寻找在截断样本下的密度估计,证明它的强收敛性并寻求其收敛速度。在某些截断情况下,本文找到的密度估计的收敛速度不仅达到了最佳并且改进了[4]中的收敛速度。     

随机截断数据下乘积限过程的振动模

文中研究了随机截断数据下的剩积限过程的振动行为，证明了其振动模的收敛速度与完全样本下经验过程振动模的收敛速度相一致。     

更新过程的叠对数律

本文利用独立同分布随机变量序列部分和的叠对数律收敛速度结果,在一定条件下,研究了一般更新过程的叠对致律及其收敛速度。     

二维单边截断分布族中经验Bayes估计的收敛速度

本文考虑二维单边截断型分布族中经验Ｂａｙｅｓ估计的收敛速度，在一定的条件下给出了相应的速度，并说明了在较强的条件下收敛速度可充分接近１。     

B值随机变量阵列的大数定律及收敛速度

本文主要研究了B值随机变量阵列的大数定律和收敛速度,并刻划了Banach空间的几何特征。     

Instructions for Authors

<正>Submission Authors must use LaTeX for typewriting,and visit our website www.actamath.com to submit your paper.Our address is Editorial Office of Acta Mathematica Sinica,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,P.R.China.     

THE 8~(th) INTERNATIONAL CONGRESS ON INDUSTRIAL AND APPLIED MATHEMATICS

正August 10-14,2015Beijin,China The International Congress on Industrial and Applied Mathematics(ICIAM)is the premier international congress in the field of applied mathematics held every four years under the auspices of the International Council for Industrial and Applied Mathematics.From August 10 to 14,2015,mathematicians,scientists     

FRACTIONAL INTEGRALS OF THE WEIERSTRASS FUNCTIONS： THE EXACT BOX DIMENSION

The present paper investigates the fractal structure of fractional integrals of Weierstrass functions. The ezact box dimension for such functions many important cases is established. We need to point out that, although the result itself achieved in the present paper is interesting, the new technique and method should be emphasized. These novel ideas might be useful to establish the box dimension or Hausdorff dimension (especially for the lower bounds) for more general groups of functions.     

English Series

正1 Aims and Scope Acta Mathematicae Applicatae Sinica(English Series)is a quarterly journal established by the Chinese Mathematical Society.The journal publishes high quality research papers from all branches of applied mathematics,particularly welcomes those from partial differential equations,computational mathematics,applied probability,mathematical finance,statistics,dynamical systems,optimization and management science.     

CHINESE ANNALS OF MATHEMATICS SERIES B Volume 35 · 2014 TOTAL CONTENTS

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Congruences,ideals and annihilators in standard QBCC-algebras

We characterize congruence lattices of standard QBCC-algebras and their connection with the congruence lattices of congruence kernels. Work on the paper was supported by Council of Czech Government No J14/98:153100011.     

A decomposition of continuity via ideals

A new class of sets in ideal topological spaces is introduced and using these sets, a decomposition of continuity is given.      

When a compact (countably compact) set is closed. II

We obtain (a) necessary and sufficient conditions and (b) sufficient conditions for a compact (countably compact) set to be closed in products (sequential products) and subspaces (sequential subspaces) of normal spaces. As a consequence of these, sufficient conditions are obtained for (i) the closedness of arbitrary (countable) union of closed sets and (ii) the equality of the union of the closures and the closure of the union of arbitrary (countable) families of sets in these spaces. It is also shown that these results do not hold for quotients of even T ₄,-spaces.