基于ARIMA-GM组合模型的邮电业务总量预测

对传统预测具有波动性及季节性双重趋势时间序列的模型—ARIMA乘积季节模型进行了改进,先用ARIMA乘积季节模型对邮电业务总量历史数据进行识别和拟合,然后用GM(1,1)模型对其带阀值的残差序列进行修正,最后结合二者得到ARIMA-GM这一组合预测模型.利用此模型对09年上半年中国邮电业务总量进行了预测,结果表明,组合预测方法比单项ARIMA乘积季节模型预测具有更高的精度.     

基于ARIMA与信息粒化SVR组合的股指预测研究

对于证券市场投资者而言,基于合理假设准确预测资产价格未来发展方向与趋势关乎投资成败。本文通过构建一个基于ARIMA与信息粒化SVR的组合预测模型,对股票市场指数价格和收益变化的趋势进行预测。实证研究结果表明:基于ARIMA与信息粒化SVR组合的股指预测模型相较于传统时间序列模型而言,在预测精度和效度方面有较大提升,能够在一定时间周期内对股票等风险资产的价格波动区间进行较为可靠地预测,但目前还只能大致确定时间序列波动的区间范围而不能精确地预测具体点位。未来仍需结合其他预测模型和预判技术进一步深入研究,以有效提升股指趋势预测的准确性和实际指导性。     

组合预测模型在农产品价格短期预测中的应用——以苹果为例的实证分析

以我国苹果批发市场价格为研究对象,利用2006年7月7日至2012年3月30日期间的300个周数据作为分析样本,通过对时间序列的平稳性、趋势性、季节性、异方差等数据特征进行统计检验,筛选出双指数平滑模型、Holt-Winters乘法模型、ARIMA(1,1,4)模型为我国苹果市场价格短期预测的适用模型,以此为基础,以误差平方和最小为最优准则建立了组合预测模型.经对未来3期的苹果市场价格开展预测,结果表明,组合预测的精度要高于单项时间序列模型,组合预测方法完全适用于农产品市场价格的短期预测.     

基于机器学习组合模型的疟疾发病率预测研究

由于疟疾传播的复杂性,运用发病率历史数据和现有时间序列模型难以准确预测其发病率趋势.拟建立一种新的组合模型,以提高模型预测性能,并将其与应用较广泛的组合模型ARIMA-NNAR,ARIMA-LSTM进行比较.其中,以ARIMA(1,1,2)(0,1,0)12为基础建立的ARIMA-NNAR-XGBoost加权组合模型,...     

基于SARIMA、GM(1,1)和BP神经网络集成模型的GDP时间序列预测研究

本文深入分析了灰色预测模型、自回归移动平均(ARIMA)模型和BP神经网络模型的预测特性和优劣,并在此基础上建立了由ARIMA、GM(1,1)和BP神经网络集成的时间序列预测模型。针对呈现趋势变动性和周期波动性二重特性的时间序列,首先建立GM(1,1)模型对序列的趋势项进行预测,然后建立基于ARIMA和BP神经网络的组合模型对序列的周期波动项进行预测,最后用乘积模型对二者预测值进行集成。GDP时间序列实证结果表明:集成模型的预测效果显著高于单一模型,从而证实了集成模型用于GDP预测的有效性.     

基于ARIMA-LSTM组合模型的原油产量时序预测研究

针对现阶段油田产量预测中所出现的一些预测效果不理想的问题,开展了对全国原油产量的时序预测研究.针对全国原油2011-2020年产量所呈现出来的特点,采用一种基于时间序列自回归移动平均模型(ARIMA)结合长短期记忆网络(LSTM)组合模型的预测方法.首先,运用时间序列ARIMA模型的建模思想,对全国原油产量进行初步预测,再通过LSTM训练拟合残差并进行预测.最后将LSTM的预测结果补偿到初步预测结果中,得到组合预测值.组合模型预测结果显示,预测结果比较可靠,对预估原油产量具有一定的参考价值.     

ARIMA时间序列模型和BP神经网络组合预测在铁路客座率中的应用

首先利用python3.5对铁路客座率原始数据进行预处理,然后利用ARIMA时间序列和BP神经网络进行单一的模型预测,得出单一预测模型的均方误差.在组合预测求解时,先求出ARIMA时间序列模型的误差向量E_1和BP神经网络的预测误差为E_2,由于这两种预测方法是相互独立的,因此误差向量E_1和E_2线性无关且组合预测误差向量为E=(E_1,E_2),得出组合预测平方和的形式为J-W~TEW,然后根据组合预测误差平方和最小的原则来确定权值w_1,w_2,最后求解凸二次规划问题得到权值并求出组合预测模型和均方误差.通过比较单一模型预测和组合预测的均方误差,得出结论:组合预测模型的精确度高于单一预测模型的精确度.     

上海市PM2.5浓度的分析与预测

针对上海市PM2.5的浓度进行动态分析及预测.通过使用Page检验分析了上海市PM2.5浓度近几年的变化趋势;然后建立时间序列ARIMA模型对PM2.5浓度日数据进行拟合分析与预测.在此基础上通过引入影响PM2.5浓度的其他因素建立带时间序列误差的回归模型以及引入波动率因素建立带波动率方程的模型改进原时间序列ARIMA模型;通过比较样本外预测的效果,结果表明改进后的两个模型其结果均优于已知文献中的ARIMA模型.     

基于ARIMA与神经网络集成的GDP时间序列预测研究

本文深入分析了单整自回归移动平均(ARIMA)模型与神经网络(NN)模型的预测特性和优劣,并在此基础上建立了由ARIMA模型和NN模型集成的GDP时间序列预测模型与算法。其基本思想是充分发挥两种模型在线性空间和非线性空间的预测优势,据此将GDP时间序列的数据结构分解为线性自相关主体和非线性残差两部分,首先用ARIMA模型预测序列的线性主体,然后用NN模型对其非线性残差进行估计,最终集成为整个序列的预测结果。仿真实验表明:集成模型的预测准确率显著高于单一模型的预测准确率,从而证实了集成模型用于GDP预测的有效性。     

我国固定资产投资的ARIMA模型分析与预测

本文综合运用了时间序列预测方法,对我国固定资产投资总额进行了分析,建立了自回归求积移动模型ARIMA（4,1,4）。检验结果表明,该模型提供了较好的顸测结果,可为我国全社会固定资产投资提供可靠的参考数据。     

Forecasting nonlinear time series with a hybrid methodology

In recent years, artificial neural networks (ANNs) have been used for forecasting in time series in the literature. Although it is possible to model both linear and nonlinear structures in time series by using ANNs, they are not able to handle both structures equally well. Therefore, the hybrid methodology combining ARIMA and ANN models have been used in the literature. In this study, a new hybrid approach combining Elman’s Recurrent Neural Networks (ERNN) and ARIMA models is proposed. The proposed hybrid approach is applied to Canadian Lynx data and it is found that the proposed approach has the best forecasting accuracy.     

基于ARIMA和LSSVM的非线性集成预测模型

针对复杂时间序列预测困难的问题,在综合考虑线性与非线性复合特征的基础上,提出一种基于ARIMA和最小二乘支持向量机(LSSVM)的非线性集成预测方法.首先采用ARIMA模型进行时间序列线性趋势建模,并为LSSVM建模确定输入阶数;接着根据确定的输入阶数进行时间序列样本重构,采用LSSVM模型进行时间序列非线性特征建模;最后采用基于LSSVM的非线性集成技术形成一个综合的预测结果.将该方法用于中国GDP预测取得的结果,与单独预测方法及流行的其他集成预测方法相比,预测精度有了较大的提高,从而验证了方法的有效性和可行性.     

The Application of Kernel Smoothing to Time Series Data

There are already a lot of models to fit a set of stationary time series, such as AR, MA, and ARMA models. For the non-stationary data, an ARIMA or seasonal ARIMA models can be used to fit the given data. Moreover, there are also many statistical softwares that can be used to build a stationary or non-stationary time series model for a given set of time series data, such as SAS, SPLUS, etc. However, some statistical softwares wouldn＇t work well for small samples with or without missing data, especially for small time series data with seasonal trend. A nonparametric smoothing technique to build a forecasting model for a given small seasonal time series data is carried out in this paper. And then, both the method provided in this paper and that in SAS package are applied to the modeling of international airline passengers data respectively, the comparisons between the two methods are done afterwards. The results of the comparison show us the method provided in this paper has superiority over SAS＇s method.     

An introduction to forecasting with time series models

The use of ARIMA time series models in forecasting is reviewed. In connection with this, some important points about forecasting are discussed, including: (1) difficulties in forecasting by fitting and extrapolating a deterministic function of time; (2) the importance of providing reasonable measures of forecast accuracy; and (3) the need to incorporate subject matter knowledge with time series models when forecasting.     

MODELING THE EFFECT OF SEA SURFACE TEMPERATURE ON SEA TURTLE NESTING ACTIVITIES BY INVESTIGATING SEASONAL TRENDS

ABSTRACT. In the present study, a series of models have been developed in order to investigate the effect of sea water temperature upon the nesting activities of marine turtles. Autoregressive integrated moving average (ARIMA) models, ARIMA models with transfer functions and regression models were developed for forecasting variations in the breeding activity of loggerheads, nesting at the island of Zakynthos, West Greece. Identification and development of the models was determined by the use of several statistical criteria. Weekly data series of sea turtles emerging attempts and number of nests laid were analyzed and compared with sea surface temperature (SST) data series. Our results indicate that whether SST data were included in the ARIMA models with transfer functions and the regression models that developed to describe both emergence data and number of nests, tended to improve fitting and forecasting accuracy. Data series of the number of nests laid was further correlated with observation of emergence data. Adding the effect of previous and current year nesting attempts and including SST data resulted to higher forecasting accuracy and fitting performance.     

移动GSM网话务量的ARIMA模型的建立及其预测

本文用ARIMA模型对株洲移动GSM网的话务量进行了建模分析和预报，研究表明ARIMA模型不但适合株洲移动GSM网话务量的非平稳时间序列的特点，而且预测效果比较理想。结果表明，ARIMA（1，1，1）提供了较精确的预测结果，可以用来对未来几周的话务量进行预测，有一定的实际价值。     

Short-term electricity demand forecasting using double seasonal exponential smoothing

This paper considers univariate online electricity demand forecasting for lead times from a half-hour-ahead to a day-ahead. A time series of demand recorded at half-hourly intervals contains more than one seasonal pattern. A within-day seasonal cycle is apparent from the similarity of the demand profile from one day to the next, and a within-week seasonal cycle is evident when one compares the demand on the corresponding day of adjacent weeks. There is strong appeal in using a forecasting method that is able to capture both seasonalities. The multiplicative seasonal ARIMA model has been adapted for this purpose. In this paper, we adapt the Holt–Winters exponential smoothing formulation so that it can accommodate two seasonalities. We correct for residual autocorrelation using a simple autoregressive model. The forecasts produced by the new double seasonal Holt–Winters method outperform those from traditional Holt–Winters and from a well-specified multiplicative double seasonal ARIMA model.