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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。

The gradient in this case is evaluated at the cell centroid where _0 is also stored.

为了更好的理解由这些宏所返回的参数,最好的方法是考虑一下上述计算是如何估计的。

Next, the change of chip breaking performance of indexable inserts of PVD-coated, CVD-coated carbides and ceramal at obviously increasing of cutting speed, and each of cutting and chip breaker parameters effecting on chip breaking performance of commonly used indexable inserts have been studied experimentally.

首先提出了接触图形法和切屑折断性模糊估计等新的研究方法,然后对几种易于折断的切屑形状及断屑槽型进行了分析和概括,并对切削速度明显提高以后涂层及金属陶瓷刀片断屑性能的变化、各切削参数对常用可转位刀片断屑性能的影响进行了试验研究。

But usually, characteristic parameter of these methods has more requests for prior information of the signals, particularly for the prior estimate of signal noise ratio.

但是这些方法得到的特征参数,往往对于信号的先验知识有较多的要求,尤其是对信噪比的预先估计。

A new method of estimating characteristic parameters for continuous spectrum of response signal of damped free vibration is presented in this paper.

针对自由衰减振动信号的连续谱,提出了一种估计特征参数的方法。

Using partial least squares in conjunction with the chebyshev polynomial representation, the expression for the simplifying model is built, and is provided to determine the optimal MR damper marker.

采用偏最小二乘法误差估计、Chebyshev多项式拟合建立了MR阻尼器简化模型的参数化表达式,为合理选择MR阻尼器提供了便捷的可靠的手段。

Meanwhile, it could be seen that there does not exist a confidence interval with width less than 0.5 because of the property of Poisson distribution. Based on these conditions, the author mainly carried out research into two aspects of this problem as follows. Firstly, by numerical and theoretical analysis, the author compares some existent confidence intervals, for example,"exact" confidence interval, Wald confidence interval and Bayesian confidence interval, and finds some deficiencies points of the confidence intervals, whose modification version has been proposed .Also, several better confidence intervals such asare also presented .Secondly, for given confidence coefficient and interval width, the author constructs a class of asymptotical two-stage interval estimate procedures. At the same time, under varies restriction of confidence coefflcientent interval width, the optional sample size of the first stage has been computed by numerical computation. The numerical computation shows that the method considered in this dissertation have good properties and applied value.

同时,由于Poisson分布的特性,我们知道不存在其参数区间长度小于0.5的置信区间,基于这些情况,我们主要展开了以下两个方面的研究:一是利用数值计算分析与理论分析的方法对现有的若干置信区间如"精确"置信区间,Wald置信区间,Bayes置信区间等进行分析比较,发现了一些缺陷,针对这些缺陷,我们进行适当的修正,并得到几种性质较好的置信区间如:修正大样本区间Jeffreys原则下置信区间二是针对已给定的置信系数与区间长度,我们提出了一种渐近的两阶段区间估计程序,并利用数值计算的方法,在各种置信系数与区间长度限定下,算出了最优的第一阶段观测次数,大量数据表明,本文考虑的方法性态良好,具有应用价值。

In Chapter 5, we obtain the Bayes estimations of regression coefficient under the balanced loss posterior risk by the three kinds of experiential distributions about the parameters.

第5章就线性回归模型在平衡损失后验风险下,针对参数服从三种不同的先验分布,分别得到平衡损失下的Bayes估计。

The condition number of modified Lagrange function's Hessian is estimated, which also depends on the penalty parameter.

最后估计了修正Lagrange函数的Hesse阵的条件数,它同样依赖于罚参数。

The SV model based on a conditional normal distribution and a heavytailed distribution, especially Student's tdistribution are compared and analyzed in this paper.

为了估计SV模型的参数,我们使用了BUGS软件,该软件借助Gibbs取样方法对模型进行贝叶斯分析。

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Lao Qiu is the Chairman of China Qiuyang Translation Group and the head master of the Confucius School. He has committed himself to the research and promotion of the classics of China.

老秋先生为中国秋阳翻译集团的董事长和孔子商学院的院长,致力于国学的研究和推广。