样本矩

The convergence and asymptotic normality of the conditional momentestimator are proved under some regular conditions.

随机截尾样本，两端截尾样本和区间删失数据等常用的删失数据类型都能满足条件矩估计大样本优良性成立时所需的正则性条件。

Describes general methods of point and interval parameter estimation and the small and large sample properties of estimators: method of moments, maximum likelihood, unbiased estimation, Rao-Blackwell and Lehmann-Scheffe theorems, information inequality, asymptotic relative efficiency of estimators.

点估计和区间估计的一般方法，估计量的小样本和大样本性质：矩法，极大似然估计，无偏估计，Rao-Blackwell 和 Lehmann-Scheffe 理论，信息不等式，渐进相对有效估计量。

Maximum likelihood, unbiased estimation, Rao-Blackwell and Lehmann-Scheffe theorems, information inequality, asymptotic relative efficiency of estimators.

点估计和区间估计的一般方法，估计量的小样本和大样本性质：矩法，极大似然估计，无偏估计，Rao-Blackwell 和Lehmann-Scheffe 理论，信息不等式，渐进相对有效估计量。

The paper consists of three parts. First, we give the calculation for every order central moment for the Logistic population, mean vector and covariance matrix of the order statistic of random sample from the Logistic population, and means of several special functions for the order statistic of random sample from the Logistic population. Secondly, we discuss the parameter estimation for the Logistic population. Finally, we solve the question about the goodness-of -fit test for the Logistic population.

研究的主要内容分三部分：第一部分是关于Logistic总体各阶中心矩、样本次序统计量期望向量与协方差阵及若干个特殊的样本次序统计量函数期望的计算问题；第二部分是关于Logistic总体分布参数的估计问题；第三部分是关于Logistic总体的拟合优度检验问题。

Because of the complexity of the terms in the expansions, many turned to the research of the second-order (also called one-term) Edgeworth expansions, and the rate of convergence of the distributions of the standard...

最近，在更弱的矩的条件下，关于单样本学生化U统计量的Edgeworth展开的收敛速度问题有了更进一步的结果。

This paper proposes a novel interpolator that is the All Phase Inverse Discrete Cosine Sequency Filter. Based on the theory of the All Phase, the APIDCSF considers the surrounding samples'influence on the center one throughly, and takes the average of IDCT orthogonal filtering of surrounding sampling blocks which include the center sample as its orthogonal transformed value.

在全相位理论的基础上，充分考虑了周围邻域对中心样本的影响，以包含该中心样本的所有邻域正交变换滤波的均值作为其正交变换滤波值，构造了全相位离散反余弦列率滤波器组(All Phase Inverse Discrete Cosine Sequency Filter， APIDCSF)，其内插性能好于高阶消失矩的环形Neville滤波器。

This project also obtained several limit theorems for some important dependent random variables and stochastic processes, such as the Strassen law of the iterated logarithm for negatively dependent random variables, strong limit theorems for mixing random vectors in Banach spaces, sample path properties for two-parameter fractional Wiener processes, and so on.

随机环境中的随机变量与随机过程的研究在国内外相当活跃，本项目主要研究它们的极限性质，着重研究了随机风景中随机变量与随机过程的极限性质，主要取得了以下几个结果：首先对简单对称的Kesten-Spitzer随机游动在低阶矩的条件下给出了强逼近，大大减弱了前人要求任意阶矩的条件，然后对独立风景中的一般随机变量给出了强逼近的一般性结果，由此导出在风景和随机变量都只具有低阶矩的条件下的独立但不同分布、混合相依变量的强逼近，在只有弱高于二阶矩的条件下得到了重相对数律和弱收敛；给出了连续时间参数的Brown风景中Brown运动和稳定风景中稳定过程的滞后增量和连续模等精确样本轨道性质；同时给出了一些重要的相依随机变量和过程的若干极限定理，如负相关随机变量的Strassen重对数律、抽象空间上混合相依变量的一些强极限定理成立的充分必要条件、两参数分数Wiener过程的样本轨道性质等。

Also in the paper,we get the point estimator of unknown parameters by using the maximum likelihood estimator method and simulated moment estimator method based on the censored sample.

给出了其寿命分布函数步进形式，在截尾样本场合利用极大似然估计方法和拟矩估计方法求出了未知参数的点估计，最后利用计算机模拟考察了说明本文方法的可行性。

The method of moments approach to estimation implies imposing the population moment restrictions on the sample moments.

矩方法是将总体的矩限制应用于样本中。

The practicality of using rough set to reduce the date was discussed, in this paper, and the interval-valued continuous attribute discretization by applying self-organizing map neural network clustering was proposed, too. This article proposes a simplified indiscernible matrix's method, which reduces the example's condition attribute and eliminates the redundant information of the date. What's more, it provides the methods used to diagnosis compressor's faults based on the intelligence hybrid system by adopting the MATLAB neural network workbox. At last, the functional modules which make up into intelligence hybrid system for fault diagnosis was introduced, including: data acquisition module, date preprocessor module, date reduction module, neural network module, fault diagnosis module and fault expressing module. Here, the article also gives the flow of work of all the above modules.

论文论述了应用粗集对故障数据进行约简的可行性，并应用自组织映射神经网络的聚类功能，来实现连续属性值的离散化方法；给出了简化的分明矩阵法，并用该方法实现了样本条件属性的约简，消除了样本数据中的冗余信息；采用MATLAB神经网络工具箱建立了压缩机的部分故障类型的智能混合诊断系统；最后介绍了智能混合故障诊断系统的功能模块组成，各功能模块分别为：数据采集模块，数据预处理模块，数据约简模块，神经网络模块，故障诊断模块，故障解释模块；并给出了各功能模块的工作流程。

By the time of its fall, most of the prisoners were writers who had written against the corruptions of the government.

到它被攻陷的时候，里面多数的犯人是写了反对政府贪污文章的作家。

The most obvious variation to ovum morphological character was that the color was changed from light green to sepiaceous in embryonic development, and all the ovums were almost hatched after 96h.

在胚胎发育过程中卵的形态特征最明显的变化是颜色从淡绿到深褐色，卵在发育96h后卵基本全部孵化。