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91.
J. Sunklodas 《Acta Appl Math》2008,102(1):87-98
In the present paper, we consider L
1 bounds for asymptotic normality for the sequence of r.v.’s X
1,X
2,… (not necessarily stationary) satisfying the ψ-mixing condition. The L
1 bounds have been obtained in terms of Lyapunov fractions which, in a particular case, under finiteness of the third moments
of summands and the finiteness of ∑
r≥1
r
2
ψ(r), are of order O(n
−1/2), where the function ψ participates in the definition of the ψ-mixing condition.
相似文献
92.
The stability of traveling wave solutions of scalar viscous conservation laws is investigated by decomposing perturbations into three components: two far-field components and one near-field component. The linear operators associated to the far-field components are the constant coefficient operators determined by the asymptotic spatial limits of the original operator. Scaling variables can be applied to study the evolution of these components, allowing for the construction of invariant manifolds and the determination of their temporal decay rate. The large time evolution of the near-field component is shown to be governed by that of the far-field components, thus giving it the same temporal decay rate. We also give a discussion of the relationship between this geometric approach and previous results, which demonstrate that the decay rate of perturbations can be increased by requiring that initial data lie in appropriate algebraically weighted spaces. 相似文献
93.
In 1952 Darling proved the limit theorem for the sums of independent identically distributed random variables without power moments under the functional normalization. This paper contains an alternative proof of Darling’s theorem, using the Laplace transform. Moreover, the asymptotic behavior of probabilities of large deviations is studied in the pattern under consideration. 相似文献
94.
Summary The analytical roles of chromatographic variables (column length, etc.) can be soundly comprehended and compared in terms
of the precision (Φ) of measurements and efficiency (ϑ) of analysis which are described as Shannon information and information
flow, respectively. The φϑ plots of the optimization process and the information Φ transmitted by a single peak are useful
to understand the analytical structure of optimization. Variables treated here are mobile phase composition (X), column length
(L), mobile phase velocity rate (u), detection wavelength (λ) and plate number (N). 相似文献
95.
Ling-yun Gao 《应用数学学报(英文版)》2008,24(2):211-220
Using value distribution theory and techniques in several complex variables,we investigate the problem of existence of m components-admissible solutions of a class of systems of higher-order partial differential equations in several complex variables and estimate the number of admissible components of solutions.Some related results will also be obtained. 相似文献
96.
Rita Giuliano Antonini Yuriy Kozachenko Andrei Volodin 《Journal of Mathematical Analysis and Applications》2008,338(2):1188-1203
The almost sure convergence of weighted sums of φ-subgaussian m-acceptable random variables is investigated. As corollaries, the main results are applied to the case of negatively dependent and m-dependent subgaussian random variables. Finally, an application to random Fourier series is presented. 相似文献
97.
Extended Group Foliation Method and Functional Separation of Variables to Nonlinear Wave Equations 总被引:4,自引:0,他引:4
QU Chang-Zheng ZHANG Shun-Li 《理论物理通讯》2005,44(4):577-582
Generalized functional separation of variables to nonlinear evolution equations is studied in terms of the extended group foliation method, which is based on the Lie point symmetry method. The approach is applied to nonlinear wave equations with variable speed and external force. A complete classification for the wave equation which admits functional separable solutions is presented. Some known results can be recovered by this approach. 相似文献
98.
利用Rivlin和Shapiro提出的符号理论,证明了文献[10]中提出的第一类双变量Chebyshev多项式恰为所谓的Steiner区域上具有特殊首项的最小零偏差多项式,并由此导出了几类具有一定代数精度的数值积分公式. 相似文献
99.
R. I. McLachlan H. Z. Munthe-Kaas G. R. W. Quispel A. Zanna 《Foundations of Computational Mathematics》2008,8(3):335-355
We present new explicit volume-preserving methods based on splitting for polynomial divergence-free vector fields. The methods
can be divided in two classes: methods that distinguish between the diagonal part and the off-diagonal part and methods that
do not. For the methods in the first class it is possible to combine different treatments of the diagonal and off-diagonal
parts, giving rise to a number of possible combinations.
This paper is dedicated to Arieh Iserles on the occasion of his 60th anniversary. 相似文献
100.
我国人口时间序列的变系数预测模型 总被引:1,自引:0,他引:1
根据1952-2005年我国人口总量和GDP总量数据,建立变系数模型.采用逐步回归的方法来选择显著滞后变量子集,推导出系数函数的样条估计表达式,最后运用Bootstrap思想,进行点预测和区间预测。运算结果表明:对于该组数据,变系数模型能较理想地描述数据之间的内在结构,且具有较少的预测误差. 相似文献