证明了此统计量是渐近正态的，并利用蒙特卡罗方法对统计量的渐进分布做了统计模拟。
It is proved that the statistics is asymptotic normality, and simulation of the statistics's asymptotic distribution is carried out with Monte Carlo method.
证明了此统计量是渐近正态的，并利用蒙特卡罗方法对统计量的渐进分布做了统计模拟。
Under the normal distribution, the maximum likelihood estimator for the population parameter is proved to be unbiased and asymptotically normal.
并且证明了在正态分布的假设下，该总体平均因果效应的极大似然估计是相合无偏且渐近正态的。
The maximum likelihood estimator for population average treatment effect is proved to be consistent, unbiased and asymptotically normal.
对一类具有渐近正态的统计量，找到了适用于它们的共同的随机加权逼近方法，并研究了它的相合性、一致及非一致逼近速度。
In this paper we find an uniformly random weighting method to statistics admitting asymptotic normality and study its consistency and convergence rates of uniformity and nonuniformity.
RSS样本下参数的极大似然估计(MLE)仍然是相合的和渐近正态的，而且RSS样本下参数的MLE较同样情况下SRS样本下参数的MLE更有效。
The maximum likelihood estimation (MLE) from an RSS sample is consistent an asymptotically normal and more efficient than its counterpart from an SRS sample.
给出了正态总体均值和标准差的最大似然估计（M LE），似然比检验统计量及其渐近分布等结果。
The maximum likelihood estimators(MLE) of means and standard deviations, and the asymptotic distribution of likelihood ratio statistic were given.
本文构造了非线性模型中参数的经验欧氏似然比统计量，并证明了该似然估计的强相合性和渐近正态性。
In this paper, empirical Euclidean likelihood ratio statistics are constructed for parametric in a nonlinear model. And prove strong consistency and asymptotic normality of the estimation.
因此得到了推广矩估计量的渐近分布，于是证明了推广估计量的渐近正态性。
Then we derive the asymptotical distribution of the extended moment estimator and prove its asymptotically normality.
本文证明了这种估计的强相合性，并讨论了其优效渐近正态性。
In this paper, we prove the strong consistency of the estimate, its efficiency asymptotic normality is discussed, too.
我们研究了这些方法的强相合性，渐近正态性和渐近有效性。
The strong consistency, asymptotic normality and asymptotic efficiency of these methods are proved.
本文用凸函数构造了线性次序统计量和线性秩统计量，并证明了它们的渐近正态性。
In this paper, we use the convex function to form the order statistic and the linear rank statistic, and the asymptotic normality of the statistics are proved.
本文提出从HNBUE分布类中检验指数分布的方法，证明检验统计量的渐近正态性和检验的相合性。
This paper proposes a test statistics for testing exponential distribution versus HNBUE, and proves the statistics approximate normal distribution and consistence.
我们也研究了估计的一致性和渐近正态性质。
The consistency and asymptotic normality behaviors are also investigated for the estimators.
本文给出了总体方差矩估计检验的样本崩溃点，并分析了该样本崩溃点的渐近正态性。
In this paper, We give the sample breakdown point of a test for moment estimation of population variance and analyze the asymptotically normal characteristic of the sample breakdown point.
进一步证明了未知函数的M-估计的弱一致性和渐近正态性，参数的M-估计的弱一致性。
The weak consistence and the asymptotic normality of the robust M-estimate of the unknown function are given, and the weak consistence of the robust M-estimate of the unknown parameter is established.
文中用辅助变量法和LILC定阶准则结合来估计电液位置和力偶系统的阶和参数，根据估计参数的渐近正态性确定模型的子阶和时滞。
The instrumental variable method and LILC criterion are used to estimate the order and parameter of electro-hydraulic position and force coupled system.
证明估计的强相合性和渐近正态性，给出似然比检验统计量的极限分布，并讨论基于精确分布的检验问题。
The limit distributions of estimators and likelihood ratio test are given, the strong consistency of estimators is also proved.
本文研究了在相当弱的条件下工业过程稳态模型估计误差的渐近正态性。
This paper investigates the asymptotic normality of the estimation error of steady-state models of industrial processes in quite mild conditions.
第四章讨论了序贯指数模型的极大似然估计的强相合性和渐近正态性，并进行了证明。
In Chapter 4, we discuss and prove the consistency and asymptotic normality of maximum likelihood estimate to the exponential models.
本文讨论了强平稳LPQD随机变量列更新过程的渐近正态性问题。
This paper discusses the asymptotical normality of the renewal process generated by strictly stationary LPQD random variables.
给出非参数回归模型中估计量的渐近偏差和渐近方差，并在适当条件下利用大小分块的思想获得了该估计量的渐近正态性。
Given the asymptotic bias and the asymptotic variance of estimation, moreover obtained the asymptotic normality of the estimation under certain condition using small-block and large-block arguments.
首先，使用局部线性方法给出模型的系数函数的初始估计； 然后使用积分方法，给出它们的积分估计； 进一步，研究这些积分估计的渐近正态性。
The paper widens the application of local method which used to be utilized in rarefied flow to the quick prediction of aerodynamic characteristics of missile-like reentry vehicle in hypersonic flow.
首先，使用局部线性方法给出模型的系数函数的初始估计；然后使用积分方法，给出它们的积分估计；进一步，研究这些积分估计的渐近正态性。
First, with the local linear method, the coefficient functions of the model are estimated, and then, with the integration method, their integrations are estimated.
首先，使用局部线性方法给出模型的系数函数的初始估计；然后使用积分方法，给出它们的积分估计；进一步，研究这些积分估计的渐近正态性。
First, with the local linear method, the coefficient functions of the model are estimated, and then, with the integration method, their integrations are estimated.
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