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The average error of fitting and predicting were 1.34% and 1.21% of the actual mean respectively, Model GM(1,1)was better than the Linear Regression and Exponential Curve Model for prediction.

本文还将灰色系统GM(1，1)模型与常见的直线回归模型和指数曲线模型进行了比较，结果表明GM(1，1)模型的预测效果较上述两种模型好。

Based on JM model , we propose a software reliability prediction model involving fault-remove time which followed exponential distribution.

因此在 JM模型的基础上，提出了排错时间为负指数分布的软件可靠性模型及本模型的极大似然参数估计方法。

The early references include -[5], which are based on the linear models or generalized linear models; on the other hand, [6]-[10] are those based on the nonlinear models which are more practical. But they are all restricted in the exponential family of distributions. That will not practice in most of the trials. Although being the most flexible among them, the estimation methods in [1] has many disadvantages for requiring the model to be generalized linear. Based on [1], this paper extended the method to the generalized nonlinear model.

较早的如[1]-[5]，他们都是基于线性或广义线性模型进行分析研究；而基于更为实用的非线性模型的研究则有：[6]-[10]等，他们大多由于模型要求数据属于指数分布族或者模型假定为线性模型，这都限制了模型的实用性，其中以[1]所提的一系列广义线性估计方程实用范围较广，但其模型中要求的广义线性模型还是具有一定的局限性。

Results: GLMMs allow the index may be one of the exponential family (Contimuum distributions including Nomal ,beta distribution ,chisquared distribution etc;Disperse distributions including Binomal ,Poisson and inverse Binomal etc), the vecor of expected means of the index is linked to the model parameters by a link function and model the linear equation, simple the calculator procedure.

结果： 广义线性混合效应模型允许临床疗效评价指标是指数家族中任意分布（如：连续分布包括正态分布、beta分布、卡方分布等；离散分布包括二项分布、泊松分布、负二项分布等），可以通过连接函数将疗效指标的均数向量与模型参数建立线性关系，简化运算过程。

Based on the concrete exponential function damage model, a concrete temperature damage model is established.

在河海大学徐道远教授提出的混凝土指数函数损伤模型的基础上，建立了混凝土指数函数温度损伤模型。

Based on the error analysis of the GM(1,1) model,we use the discrete function with non-homogeneous exponential law to fit the accumulated sequence to propose a new method to optimize the background value in GM(1,1) model.

在实际应用与理论研究过程中，人们发现了GM(1，1)模型的诸多局限性并作了改进，取得了较好的预测效果[6~9]。

It possesses white exponential law coincidence property. The restricted zone of using GM (1,1) model is broken while al is bigger number; and the application range of GM (1,1) model is widened.

该模型具有白指数重合律，它突破了|α|较大时GM(1，1)模型不能应用的禁区，拓广了GM(1，1)模型的应用范围。

Based on this method, Logarithm Process model and Exponential Process model is established.

以此方法为基础建立了对数过程模型和指数过程模型。

We took the permanganate index of the water quality in the water supplying areas of Wuhan city as research case by using Improved Gray Model GM(1, 1 from the conventional GM(1, 1) model by exponential smoothing process.

现以武汉市的主要供水源地水质指标为研究对象，尝试着应用经指数平滑改进后的GM (1，1)模型（IGM (1，1)模型）对武汉市9个水厂的水源地水质进行预测。

Under the hypothesis of stock price submitting to exponential Ornstein-Uhlenbeck process ,we solve the formula of pricing of stock and analyse the kind of the option formula, and then aiming at the blemish to suppose to interest rate before and considering the relation of the fluctuation of interest rate and the fluctuation of stock price , we bring up the model of the market interest rate and focus on analyzing the effect of the fluctuation of market interest rate on the option price based on the model.

本文首先在股票价格服从指数Ornstein-Uhlenbeck过程模型假设下，求解了股票的定价公式，分析了期权公式的性质，然后针对以往对利率假定的缺陷，考虑到市场利率波动与股价波动的相关性，提出了市场利率模型，并在此基础上，着重分析了市场利率的波动对期权价值的影响，求得了适合于期权有效期较长情形下的期权定价公式，并将该公式通过实例与著名的Black-Scholes期权定价公式进行了深入比较。

Apllied the data of QuickBird-2——the highest resolution remote sensing,and based on the theory and methodology of fractal geometry,we have quantitatively studied remote sensing lineations in Gaolong gold deposit of Guangxi.

采用Quick Brid-2高分辨率卫星遥感数据，通过分形几何学的盒计维数法，定量研究广西高龙金矿区遥感线性构造。

So, sometimes, to change the color can not be your food (referring to the above-mentioned crustacean) has been a sign of boiling over.

所以，有时，来改变颜色，不能你的食物一直是沸腾了的迹象。