我们发现，中国指数序列的收益序列表现出分形，非线性等复杂特征。
We have discovered that the income sequence of Chinese exponential sequences demonstrates the complex fractal and non-linear characteristics.
分析了MODIS在植被生长变化监测中的优势，讨论了省级MODIS植被指数序列的建立方法。
The advantage of MODIS vegetation monitoring was analyzed. The methods for establishing time series of vegetation indicator by using MODIS data in Shaanxi Province were discussed.
它使GM(1,1)模型同时适应于低增长指数序列和高增长指数序列建模，它是提高GM(1,1)模型精度和适应性的关键技术。
The new formula is suited to building GM (1, 1) model for both low growth index series and high growth index series. It is the key technology of enhancing GM (1, 1) model precision and adaptability.
由历史数据推测未来趋势的众多方法中较突出的有：时间序列法、最小平方法、指数平滑法、回归分析和相关分析。
Prominent among the various techniques that can help to extrapolate past date into future trends are the following:time series, least squares method, exponential smoothing, regression and correlation.
目的探索带有影响因素的疾病指数时间序列建模方法。
Objective To explore the methods of disease index time series models with influencing factors.
通过分析行程时间时间序列的时变特性，利用指数平滑模型进行预测，最后提出合理的修正方法。
Then, we make prediction with moving exponential average model after the analysis of the travel time series. Finally, we present reasonable justification.
灰色系统预测模型的本质是对已知数据序列进行类型为指数形式的曲线拟合，然后将此曲线延伸到未来，由此对未知的数据做出预测。
The essence of the gray prediction model is to fit the known data sequence with an exponent form to a curve, and then extend the curve to the future in order to predict the unknown data.
二次指数方法是一种产生伪随机数序列的方法。
The quadratic exponential method is one of the methods that generate pseudorandom number sequence.
研究提出了原始数据序列的动态摆动指数变换方法和GPPM(1)灰色模型。
The dynamic swing index transformation method of firsthand data sequence and GPPM (1) grey model is studed and set up.
使用极值理论和极值指数估计量的性质，在大样本的情况下得到序列分布“肥尾”现象的检验方法。
Some statistical test methods on "fat tail" distribution of time series are obtained by using properties of extreme value theory and extreme index estimator under large sample.
对伤寒、副伤寒发病率时间序列(1997 ~ 2003)采用指数曲线拟合，并对2004年伤寒、副伤寒疫情作出预测。
Exponential curve was employed in studying time series of typhoid and paratyphoid (1997-2003) and incidence rate of year 2004 was predicted based on the prediction model.
对指数平滑预报器一步预报误差序列进行实时建模和实时修正的基础上，实现对未来值的自校正预报。
The self-tuning prediction of the future value can be achieved on the basis of real time model-building and modification to the one-step predicting errors sequence in the exponential smooth predictor.
结论：可以利用指数平滑法对霜霉病一维时间序列进行预测。
Conclusion: The exponential smoothing method could be employed to forecast a time series of one dimension for cucumber downy disease.
探讨舰船螺旋桨空泡噪声指数衰减型随机脉冲序列的理论模型。
The present paper deals with theoretical model of random sequence of exponential attenuate acoustic pulses caused by ship propeller cavitation noise.
利用自相关函数对恒生指数日收盘价时间序列中的自相似性进行了初步的实证和理论分析。
We do the initial identification and the theoretical analysis with the autocorrelation function towards the time series of HSI daily closing quotation.
第四章引见了本所搜集的14家银行的股票价钱数据，并基于此盘算了其股票指数及收益率序列。
The fourth chapter introduces the 14 banks in this collection of stock price data, and based on the calculation of the stock index and the rate of return sequence.
文章提出对行业指数收益率序列分阶段进行聚类分析的动态分析方法，以考察行业间的相互关系及其演化过程。
The paper suggests clustering the return series of industrial indexes stage by stage to explore the relations among industries and their evolution course.
方法：采用黄瓜霜霉病病情指数时间序列从方法学的角度进行预测方法研究。
Methods Using the time series analysis of cucumber downy mildew disease, to explore the forecasting method from the Angle of methodology.
赫斯特指数的计算过程需要对研究的时间序列数据进行分组，而不同的分组情况对赫斯特指数会产生不同的影响。
The calculation process of Hurst index needs to group the data of time sequence. And different grouping situations have different influences on the Hurst index.
又以预测误差平方和SSE最小为目标，构造了优选并自动生成最佳平滑参数使平滑模型得以优化的最速下降算法，增强了指数平滑模型对时间序列的适应能力。
Aiming the square sum of error (SSE), we construct the algorithm to iterate and select an optimal parameter for optimizing the new models, which ADAPTS the model to time series more.
另一方面，如果你想要一个大的您要进行因式分解的数字，将参数作为(素数，指数)对的序列传递。
If, on the other hand, you want the value of the totient for some large number for which you have the factorization, pass the argument as sequence of (prime, exponent) pairs.
首先本文采用扩展迪克—富勒模型对我国上证指数进行了时间序列分析，结果表明指数的收益率是不可预测。
First this article used expands the Dick - fuller model the card index to carry on the time series analysis to our country in, finally indicated the index the returns ratio might not forecast.
给出了指数迭代序列的极限函数的一些性质。
Some properties of the limit function of the iterated exponentials sequence are presented.
[方法]对伤寒、副伤寒发病率时间序列(1997 ~ 2003)采用指数曲线拟合，并对2004年伤寒、副伤寒疫情作出预测。
[Methods] Exponential curve was employed in studying time series of typhoid and paratyphoid (1997-2003) and incidence rate of year 2004 was predicted based on the prediction model.
本文从低频数据和高频数据两个角度对沪深300指数的收益率时间序列统计特征进行分析。
This paper analyzes the statistical features of the Shanghai and Shenzhen 300 Index yield rate time series from two aspects which include low frequency data and high frequency data.
因此，我们用时间序列分析中的ARIMA模型来对沪深300指数建立模型，希望为企业和投资者在进行相关决策时提供有益的参考。
Therefore, we use ARIMA time series analysis model to predict CSI 300 Index, which is a useful reference for the company and investors when making related decisions.
给出了离散时间序列多重分形除趋势涨落分析方法和霍尔德指数的计算方法，并用它们研究了气温时间序列。
We give multifractal detrended fluctuation analysis and Hlder analysis of discrete time series and use them to study the temperature time series fluctuations.
通过数值计算结果表明：有限字长混沌序列的周期态和过渡态都具有正的最大Lyapunov指数，且小数据量法对有限字长效应是鲁棒的。
The results show that both periodic and transitional chaotic sequences have positive maximum Lyapunov exponent, and the small data sets method is robust to the finite word length of the computer.
最后，建立了基于时间序列的二次指数平滑线性预测模型，进行商品销售趋势的分析，部分验证了本文的设计分析。
Finally built a two linear forecasting models based on smoothing of time queue about analysis of sale trend, and verified the design analysis of this paper partly.
讨论了二次指数发生器在椭圆曲线上模拟所生成的序列的分布情况，证明了此类椭圆曲线序列是渐近一致分布序列。
We consider an analogue of the quadratic exponential generator over an elliptic curve, which may produce sequences with asymptotically uniform distribution.
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