THE LAW OF THE ITERATED LOGARITHM OF RANDOM WEIGHTING APPROXIMATION FOR MEAN ERROR──NON.I.I.D.SITUATION

Applied Mathematics and Mechanics (English Edition) ›› 1996, Vol. 17 ›› Issue (8): 741-750.

THE LAW OF THE ITERATED LOGARITHM OF RANDOM WEIGHTING APPROXIMATION FOR MEAN ERROR──NON.I.I.D.SITUATION

王炳章, 彭建平

Yantai University, Yantai 264005, P. R. China

收稿日期:1995-03-06 修回日期:1996-01-11 出版日期:1996-08-18 发布日期:1996-08-18

THE LAW OF THE ITERATED LOGARITHM OF RANDOM WEIGHTING APPROXIMATION FOR MEAN ERROR──NON.I.I.D.SITUATION

Wang Bingzhang, Peng Jianping

Yantai University, Yantai 264005, P. R. China

Received:1995-03-06 Revised:1996-01-11 Online:1996-08-18 Published:1996-08-18

摘要/Abstract

摘要： For the dislribulion if mean error under independent but not identicallydislribuled conditions. its approximating dislribution whose precision reach O(√lnlnn/n) is obtained.

关键词: mean error, random weight, approximation

Abstract: For the dislribulion if mean error under independent but not identicallydislribuled conditions. its approximating dislribution whose precision reach O(√lnlnn/n) is obtained.

Key words: mean error, random weight, approximation

王炳章;彭建平. THE LAW OF THE ITERATED LOGARITHM OF RANDOM WEIGHTING APPROXIMATION FOR MEAN ERROR──NON.I.I.D.SITUATION[J]. Applied Mathematics and Mechanics (English Edition), 1996, 17(8): 741-750.

Wang Bingzhang;Peng Jianping. THE LAW OF THE ITERATED LOGARITHM OF RANDOM WEIGHTING APPROXIMATION FOR MEAN ERROR──NON.I.I.D.SITUATION[J]. Applied Mathematics and Mechanics (English Edition), 1996, 17(8): 741-750.

[1]	Duquan ZUO, B. SAFAEI, S. SAHMANI, Guoling MA. Nonlinear free vibrations of porous composite microplates incorporating various microstructural-dependent strain gradient tensors[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(6): 825-844.
[2]	K. THRIVENI, B. MAHANTHESH. Heat transport of hybrid nanomaterial in an annulus with quadratic Boussinesq approximation[J]. Applied Mathematics and Mechanics (English Edition), 2021, 42(6): 885-900.
[3]	C. SRINIVAS REDDY, B. MAHANTHESH, P. RANA, K. S. NISAR. Entropy generation analysis of tangent hyperbolic fluid in quadratic Boussinesq approximation using spectral quasi-linearization method[J]. Applied Mathematics and Mechanics (English Edition), 2021, 42(10): 1525-1542.
[4]	Wanli YANG, Jinxi LIU, Yongliang XU, Yuantai HU. A full-coupling model of PN junctions based on the global-domain carrier motions with inclusion of the two metal/semiconductor contacts at endpoints[J]. Applied Mathematics and Mechanics (English Edition), 2020, 41(6): 845-858.
[5]	Linchong CHEN, Xiaolin LI. Meshless acoustic analysis using a weakly singular Burton-Miller boundary integral formulation[J]. Applied Mathematics and Mechanics (English Edition), 2020, 41(12): 1897-1914.
[6]	S. MONDAL, S. A. SAHU, K. K. PANKAJ. Transference of Love-type waves in a bedded structure containing a functionally graded material and a porous piezoelectric medium[J]. Applied Mathematics and Mechanics (English Edition), 2019, 40(8): 1083-1096.
[7]	Jiaxian QIN, Yaming CHEN, Xiaogang DENG. Stabilized seventh-order dissipative compact scheme using simultaneous approximation terms[J]. Applied Mathematics and Mechanics (English Edition), 2019, 40(6): 823-836.
[8]	Zeyu LIU, Yantao YANG, Qingdong CAI. Neural network as a function approximator and its application in solving differential equations[J]. Applied Mathematics and Mechanics (English Edition), 2019, 40(2): 237-248.
[9]	Jinchun LAN, Qianlong ZHANG, Sha WEI, Zhike PENG, Xinjian DONG, Wenming ZHANG. Uncertainty quantification for stochastic dynamical systems using time-dependent stochastic bases[J]. Applied Mathematics and Mechanics (English Edition), 2019, 40(1): 63-84.
[10]	李曦袁达明. Asymptotic approximation method for elliptic variational inequality of first kind[J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(3): 381-390.
[11]	游淑军;郭柏灵;宁效琦. Equations of Langmuir turbulence and Zakharov equations: smoothness and approximation[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(8): 1079-1092.
[12]	张石生王雄瑞 H.W.J.LEE 陈志坚. Viscosity method for hierarchical fixed point and variational inequalities with applications[J]. Applied Mathematics and Mechanics (English Edition), 2011, 2(32): 241-250.
[13]	J.HAUSSERMANN K.VAJRAVELU R.A.VAN GORDER. Self-similar solutions to Lin-Reissner-Tsien equation[J]. Applied Mathematics and Mechanics (English Edition), 2011, 32(11): 1447-1456.
[14]	陈熙姚奕荣郑权. Finite-dimensional approximation to global minimizers in functional spaces with R-convergence[J]. Applied Mathematics and Mechanics (English Edition), 2011, 32(1): 107-118.
[15]	张石生李向荣陈志坚柳京爱. Viscosity approximation with weak contractions for fixed point problem, equilibrium problem, and variational inequality problem[J]. Applied Mathematics and Mechanics (English Edition), 2010, 31(10): 1273-1282.

THE LAW OF THE ITERATED LOGARITHM OF RANDOM WEIGHTING APPROXIMATION FOR MEAN ERROR──NON.I.I.D.SITUATION

THE LAW OF THE ITERATED LOGARITHM OF RANDOM WEIGHTING APPROXIMATION FOR MEAN ERROR──NON.I.I.D.SITUATION

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价