参数估计

Under the assumptuion that the lower bound of the density of the observed nonlinear AR (1) time series is known, we prove that the nonlinear wavelet estimator of the conditional mean function g, which is similiar with the one introduced in Chapter 2, still has the same good adaptive properties for this kind of nonlinear AR (1) series on account of the moment inequalities and exponential type inequalities for strong mixing processes.

在假设观测序列的的密度函数的下界已知的条件下，我们利用关于强混合过程的矩不等式以及指数型不等式证明了类似于上一章的小波估计对于非线性AR（1）模型中条件均值函数的非参数函数估计仍然具有优良的自适应性质，并同样给出了数值模拟的结果分析。

The basic features of digital baseline estimation for multi-channel pulse height analysis are introduced. The weight-Junction of minimum-noise baseline filter is deduced with functional variational calculus. The frequency response of this filter is also deduced with Fourier thansformation, and the influence of parameters on amplitude frequency response characteristics is discussed.

介绍了用于多道脉冲幅度分析的数字基线估计方法的基本特点，利用泛函变分方法推导了最小噪声基线滤波器的计权函数，利用Fourier变换导出了数字基线估计的频率响应，探讨了参数取值对其幅频特性的影响。

In this paper,taking advantage of some properties of Gamma function,we get the explicit solution. Some simulation results are also given in this paper. In chapter three, we discuss the problem under censored data in three circumstances.

一直以来，对Weibull分布参数的矩估计都是采用数值方法求解，本文利用Gamma函数的一些性质，得到了估计的显式解，并从理论和数值模拟说明此种方法相比其它方法的优越性。

By the best approximation and the geometric interpretation of signal vectors in adaptive filters, the input noise variance is obtained with the information obtained from the traditional LMS algorithm. Then, based on γ-LMS algorithm, it can iteratively eliminate the input noise effects to obtain the bias in the Wiener solution and the true system coefficients.

根据自适应滤波器的最佳逼近原理和各信号矢量的几何关系，利用传统LMS算法获得的信息来估计输入噪声的功率，再通过γ-LMS算法在迭代过程中逐步修正维纳解，去除输入噪声的影响从而得到系统参数的真实估计。

For verifying the proposed approach, the EEG potential simulated from current dipoles in an ideal homogeneous medium are generated. The localization discrepancy and the moment orientation discrepancy are used as index for measuring the estimation accuracy.

为了验证这里所提出方法的正确性，脑波模拟讯号是由电偶极在理想的均匀介质头颅模型下所得到；定位偏移量及偶极矩方向偏移量两参数被用来当做估计值准确度的指标，另外，初始值估计法的偏移量分布可用数学中的珈玛方程式描述出分布的特性。

Grasp the overall parameters of the point estimates and interval estimation.

掌握总体参数的点估计和区间估计。

The main contents of the course is as follows: events and their probability, random variables and their distributions, moments, point estimation and interval estimation, hypothesis testing, etc.

课程的内容主要包括：事件与事件的概率；随机变量的概率分布与数字特征；参数的点估计；区间估计和假设检验等。

When sample size is not large, conclusion shows that the precision of the interval estimation of parameter is remarkably increasing if the data from Tables in this paper are used.

通过计算比较，得出结论：在小样本的情况下，用本文所求的置信区间作为未知参数的区间估计将会使估计精度得到显著的提高。

Under a certain conditions on variance matrix invertibility, we show that the optimally weighted LS estimate outperforms the linear minimum variance estimate provided that they have the same priori information.

因此，我们讨论了在相同已知信息的情况下，即最优加权最小二乘估计也利用有关被估参数的先验信息时，二者的估计性能。

For general point process model,we pose the mild condition under whichthe maximum likelihood estimateof the parameter possesses the strongconsistency and the convergence rate of iterated logarithm type.

首先对一般的点过程模型我们研究了随着观测时间的增加，参数极大似然估计的渐进性质。我们提出了相当广泛又便于验证的一组条件，足以保证极大似然估计具有强相合性及重对数型收敛速度。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新