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Projection-Pursuit Based Principal Component Analysis: a Large Sample Theory
Dispersion matrices eigenvalues and eigenvectors empirical processes principal component analysis projection pursuit (PP)
2007/12/10
摘要 The principal component analysis (PCA) is one of the most celebrated methods in analysing multivariate data. An effort of extending PCA is projection pursuit (PP), a more general class of dimension...
THE SAMPLE SURVEY SCHEME AND ITS EFFECT EVALUATION FOR THE STUDY ON WOMEN'S STATUS IN CONTEMPORARY CHINA
Sample survey scheme estimation of targ
2007/12/10
摘要 This paper presents the design of sample survey scheme for the study on women's status in contemporary China, and also discusses the precision and design effect of the scheme. In Section 1, the ado...
EXISTENCE OF CONSISTENT ESTIMATES OF LINEAR REGRESSION COEFFICIENTS WHEN THE ERROR VARIANCES ARE UNEQUAL
Linear regression model consistency
2007/12/10
摘要 Consider the linear regression model Y_i=x_i′β+σ_ie_i,i=1,…,n,…, where E(e_i)=0, E(e_ie_j)=δ_(ij), 00. This paper shows that (i) if σ_i~2,i=1,2…, are known, then the necessary and sufficient condit...
THE TAIL ESTIMATION FOR THE DISTRIBUTION OF THE SUPREMA OF A P-BRIDGE
P-Bridge half space projection pursuit
2007/12/10
摘要 Let X_1,X_2,… be a sequence of independent random vectors which take values in IR~2 and X_i～P. By the projection pursuit (PP) method, we canconstruct PP type Kolmogrov-Smirnov statistics: K_n=\sup_...
QUALITATIVE ANALYSIS FOR A THIRD-ORDER DIFFERENTIAL EQUATION IN A MODEL OF CHEMICAL SYSTEMS
Periodic solution of Hopf type determina
2007/12/10
摘要 In this paper a mathematical model of chemical systems is investigated. We present the conditions for the existence and local stability of the steady states and the periodic solution of the Hopf ty...
摘要0, V={v|v∈H~1(Ω),v|Γ_1=0}, and V_0={ω|Δω=h in Ω,ω|Γ=0,\forall h∈V}. Let V_0′=the dual space of V_0,a(u,v)=∫_Ω▽u·▽Δvdx, and F(v)=∫_Ω fvdx+∫_(Γ_2)g1Δvds-∫_Γg2\partial v/{\partial \nu}ds, f∈V′_0,g1∈H~(...
A NEW CHARACTERIZATION OF FIXED MODES FOR DECENTRALIZED CONTROL SYSTEMS
Decentvalized control Fixed mode Matre
2007/12/10
摘要 In this paper, a study of the characterization of fixed modes in decentralized control is made. A new sufficient and necessary condition for the existence of fixed modes is obtained by means of the...
AN APPROACH TO RESOLVE CONFLICTS BY TRADE-OFF ANALYSIS
Pairwise comparison trade-off of a deal
2007/12/10
摘要 In this paper we propose an approach to resolve the conflicts in which more thantwo parties are allowable. It is a refinement and extension of Lootsma's pairwise comparison method for resolution of...
AN EMPIRICAL BAYES TWO-SIDED TEST PROBLEM FOR CONTINUOUS ONE-PARAMETER EXPONENTIAL FAMILIES
Empirical Bayes two-sided test exponen
2007/12/10
摘要 An empirical Bayes(EB) two-sided test problem about the continuous one-parameter exponential family has been discussed. We construct the EB test decision rule and prove its asymptotical optimality....
SEVERAL RESULTS ON ESTIMATION OF PARAMETERS UNDER MATRIX LOSS FUNCTION
Matrix loss function Bayes estimators
2007/12/10
摘要 In this paper, the definitions of Bayes estimator, minimax estimator, minimumrisk equivariant estimator and admissible estimator under the general matrix loss functionare given. Several results on ...
右删失数据下的时间序列数据分析
平稳序列 右删失 EM算法 预测
2007/8/7
当平稳时间序列$\{X_n\}$被另外的平稳序列$\{Y_n\}$删失后, 我们研究$\{X_n\}$的协方差,相关系数的估计问题. 特别当$\{X_n\}$是AR(p)序列时, 我们研究AR(p)的参数估计和一步预测问题.给出的估计量是强相合的. 计算机模拟结果说明所提供的方法是适用的.
概述作者近十年来在复杂系统可靠性分析方法研究方面所做的部分研究工作,其中包括:复杂系统可靠性综合评估方法研究;复杂系统贮存可靠性综合评估方法研究;复杂系统可靠性综合验证方法研究;复杂数据类型下的数据填充算法等内容.
Stability Analysis for the Large-Scale Systems with Time-Delay
Large-scale time-delay system Lyapunov functional partial decomposition method Razumikhin-type theorem
2007/8/7
The stability analysis problems were put forward for the large-scale systems with time-delay by using the partial decomposition method. With the stability of the isolated subsystems without time-delay...