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ON THE SMALLEST POSSIBLE ASYMPTOTICALLY EFFICIENT VARIANCE IN SEMIPARAMETRIC MODELS
Semiparametric models the smallest poss
2007/8/7
In this paper, the author gives a sufficient and necessary condition under which is the smallest possible asymptotic variance for regular estimators of β given by Schick (1986), and gives an example t...
Score test statistic has been successfully used to solve many problems in the regression model.In this paper,we use the method to study the problem of local influence of a covariance perturbation in a...
STABILITY OF STEADY-STATE SOLUTIONS OF THE COMPETITION MODEL IN THE CHEMOSTAT
linear stability steady-state solutions
2007/8/7
By means of the perturbation theorem of simple eigenvalue of linear operator and the stability theorem of bifurcation solutions, we discuss one of the open questions pointed out in [1], and prove that...
The analysis and evaluation of an actual port system containing R differentship's kinds and N subsystems each of which consists of M.(i=1, 2,…, N) ports arederived. The external arrivals of ships to t...
ON BAHADUR ASYMPTOTIC EFFICIENCY IN A SEMIPARAMETRIC REGRESSION MODEL
bahadur asymptotic efficiency sendparam
2007/8/7
In this paper, authors consider Bahadur asymptotic efficiency of MLE {\bar β}_{ML} of β, which is an unknown parameter vector in the semiparametric regression model Y_i=X_i~T β + g(T_i) + i, where g i...
The PDAS(Production Distribution Area,Spatial)is an efficient method for optimalanalysis of the existing industrial production spatial distribution. As the main problem formedium- and long-term progra...
MODELLING RANDOM CONVEX SETS
2007/8/7
A model is developed for convex-set valued data, which are the Minkowski sum of aconvex parameter set and a convex noise set. This model is generalized to include location and scale parameters. A furt...
In this paper the bootstrap theories, which are based on the author's former paper, of M-typ eprincipal components and dispersion matrices and M-type PP tests for multivariate locationand scale are ob...
PERIODIC SOLUTIONS AND PERIOD-SIMILARITY OF A GROWTH MODEL WITH AGE-STRUCTURED POPULATION
Age-structured population periodic solut
2007/8/7
The present paper deals with the periodic behaviours of an age-structured population model. The period-similarity is proposed, which reveals a certain similar structure between those population models...
AR(1)-MA(0)模型的参数矩估计及其优良性质
双重时序模型 矩估计 强相合性 渐近正态
2007/8/7
本文对双重时序模型ＡＲ（１）－ＭＡ（０）的参数Θ＝（α，δ２，σ２）Ｔ提出了一种矩估计并证明了以下３条性质：当ｎ→∞时，及...
sl_2(R)上Harish-Chandra模及其应用
不可约模 不可分解模 Ｈａｒｉｓｈ－Ｃｈ
2007/8/7
将ｓｌ２（Ｒ）上不可约Ｈａｒｉｓｈ－Ｃｈａｎｄｒａ模及ｓｌ２（Ｒ）上不可分解的Ｈａｒｉｓｈ－Ｃｈａｎｄｒａ模进行了完全分类，得到了与ｓｌ２（Ｃ）上模分类的不同形式．作为应用，又构造了实Ｖｉｒａｓｏｒｏ代数的一类新的不可约表示．
关于线性回归模型的有偏估计
线性回归模型 有偏估计 主成分 岭参数
2007/8/7
有偏估计方法是近代回归分析的常用方法．本文研究了几种常用的有偏估计方法，澄清了这些方法的区别和联系．对有偏估计的一些关键点进行研究，给出了一种新的岭参数确定法和一种新的主成分概念，并讨论了这些方法的优良性．为了提高有偏估计的效率，提出了用比例因子规范模型的方法．最后，给出了说明本文方法的数值例子．
正态AR(1)模型参数极大似然估计的精确解
时间序列 正态ＡＲ（１）模型 极大似然估
2007/8/7
本文对正态ＡＲ（１）模型，当Ｒ０已知，且时，证明了极大似然估计存在，但不唯一，这与Ｒ０，Ｒ１两个参数整体求极大似然估计的结果有本质上的不同，同时还研究了极大似然估计（）的数学特性与解析表达式．
门限自回归模型参数最小二乘估计的强收敛速度
门限自回归模型 最小二乘估计的强收敛速度
2007/8/7
本文在给定门限自回归模型阶数、门限和延迟参数的情况下，证明了一般门限自回归模型参数和残差方差的最小二乘估计的强收敛速度为Ｏ（（ｌｏｇｌ９ｏｇｎ／ｎ）１／２），并证明了残差方差的最小二乘估计具有渐近正态性．