参数估计

In this paper, we introduce the estimation and algorithm o f p arameter and some diagnostic statistics. We deduce the computation formula of curvature and conformal normal curvature for four perturbations of models.

本文主要介绍了指数族非线性模型的参数估计及其算法，若干诊断统计量，并将保形法曲率应用到指数族非线性模型中，推导了模型四种扰动方式的曲率和保形法曲率计算公式。

The validity of simulation results were tested by experiments. Through statistical analysis, the parameter (μ,σ2) of normal distribution function of the maximum load, and tested uniformity of the normal population and the sample were obtained.

在此基础上，随机生成200个典型海底地形，对采矿头截齿最大载荷的分布特性进行研究；应用置信度为0.95的柯尔莫哥洛夫斯米尔诺夫(Kolmogorov-Smirnov)检验验证参数估计所得的正态总体与样本数据的一致性。

In the end the estimations are proved to subject to normal distribution symptotically under some conditions.

两个模型都在一定的假定下证明了参数估计的渐近正态性。

In this paper, the stability of the normal equations in the adjustment and its effects on the estimation of parameters are discussed in a great detail along with the methods and theories of GPS short—arc adjustment.

本文分析了在GPS定位中平差模、型法方程组系数矩阵状态的稳定性及对参数估计的影响，进一步探讨了适合于GPS短弧法平差的理论和方法。

This thesis also provided a numberical algorithm.

本研究解决了参数估计的算法问题。

This study provides one method of parameter estimate of the model.

本研究对建立的模型给出了一种参数估计方法。

A large number of results from the study indicate that there is a close connection between stock price and trading volume. This paper uses econometric tools, draws on the plasticity and elastic conceptions in the mechanics fields and considers the relation between stock prices and trading volume in different aspects, in order to set up complete stock price plasticity and elasticity theory and apply this theory by carrying on empirical researches.

首先，本文介绍了股价波动的塑性和弹性理论的思想来源，定义股票均衡价格、股价塑性、股价弹性等新概念，通过选取某些个股在不同时段上的股价和成交量的走势图，分别说明了塑性和弹性现象的存在；然后建立了股价的塑性模型、弹性模型及弹塑性交叉模型，应用计量经济学方法对这些模型进行参数估计和检验，对模型进行理论解释，分析模型与现有投资分析理论的一致性；最后是对股票价格塑性模型和弹性模型的应用研究。

The experiment data of paramecium from Gause was used to investigate the efficiency of the method. And the twelve nonlinear real examples from "Agricultural Experimental Statistics" written by Mo Huidong were used to compare the difference between results fit by the Excel and the linear transformation method, respectively. The result showed that the Excel fitting method is not only simple and efficient for the parameter estimation but can fit various complex nonlinear equations also.

采用Gause的4组草履虫数据，研究了用Excel的"规划求解"工具进行非线性方程拟合的有效性，并以莫惠栋的《农业试验统计》一书中的12个非线性方程实例，比较了用Excel拟合与用常规线性转换方法拟合的差异，结果表明：用Excel进行非线性方程的拟合不仅简单易行、获得更优的参数估计，而且可以拟合各种复杂的非线性方程。

By applying the accumulative method which is a new technique for fitting a curve to parameter estimation of GM (0, N), it avoids complicated matrix operation, reduces operation time and keeps high accuracy and many model characters. Thus it is of great benefit to practical application.

通过将累积法这种新的曲线拟合技术引入到GM（0，N）模型的参数估计之中，避免了复杂的矩阵运算，减小了运算量，同时精度高且不改变模型的许多性质，对于实际应用有一定的意义。

The results in this paper are very important for the estimates of the model parameters.

本文的结果对模型的参数估计有重要意义

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。