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。     

霍尔特-温特模型在货运量季节性预测中的应用

为了提高货运量季节性预测的精度,应用了一种线性季节预测模型,霍尔特-温特模型。通过傅立叶周期分析确定季节影响和周期长度,利用迭代法寻找模型最优参数。将预测结果与其他三个常用季节预测模型:分组回归模型、可变季节预测模型和季节周期回归模型进行比较,结果表明霍尔特-温特模型预测精度最高。     

一种基于季节指数的灰色马尔科夫气温预测模型

提出一种根据气温历史数据的年际周期性和季节性变化规律建立的基于季节指数的灰色-马尔科夫气温预测模型.模型将纵向与横向分析相结合方法运用到气温预报之中,通过季节指数修正气温的横向季节性变化,再用灰色模型进行预测,最后通过马尔科夫进行误差修正.实例运用中,对广州市的2000年月平均气温进行预测,在与历史数据的对比中表明,模型预测结果较为准确,可靠性较好.并讨论说明该模型也可推广到其他具有周期特征的非平稳时间序列的预测中,并大大提高预测精度.     

舰船运动预报模型算法及软件

本文根据仿真模型的现代建模理论与方法 ,采用 AR(p )模型参数法 ,用模型参数的递推算法 ,对舰船运动状态的四个指标进行估计、预报和修正 ,并给出程序流程图和部分结果     

带时空相关性分析的行车时间估计模型

基于流体动力学方程的行车时间估计模型不能很好地反映真实的行车时间,需要对其进行一定的改进.在对交通流进行流体动力学建模的基础之上,引入对高速公路路网中不同路段之间的行车时间相关性和同一路段不同季节、不同时段的行车时间相关性分析,建立了带时空相关性分析的时间估计模型,使用统计学的方法消除动力学模型的误差.     

基于位置数据的用户多周期移动行为挖掘

挖掘位置数据中的用户行为规律是大数据时代的研究热点之一.现有研究主要关注于用户在某时刻出现在某地点的行为,对于用户从一个地点移动到另一个地点的动态行为研究较为空缺.提出一种挖掘位置数据中用户移动行为的算法可以发现用户的多个周期移动行为,描述用户在时空上的移动规律.首先,利用离散傅里叶变换和自相关系数检测用户移动行为的周期,在这一过程中,利用Apriori性质减少计算复杂度;而后提出用户移动行为的生成模型,估计用户的移动行为概率矩阵,考虑到观测数据的稀疏性,采用带全局限制的动态时间规整距离对不同时间段的行为进行聚类以发现用户的多个周期移动行为.最后,我们选取某市公共自行车系统收集的位置数据进行实证分析,结果表明,新方法能有效地挖掘用户的多个周期移动行为,进一步地,通过归纳可以得到用户群体在周期移动行为上的主要特征.     

基于周期异方差季节单位根的加权估计与检验

为检验周期异方差的季节单位根模型,基于加权最小二乘估计,提出检验统计量,并在原假设下得到检验统计量的极限分布,与各个季节的周期异方差无关,是标准Wiener过程的泛函.模拟结果和实例分析都表明了用该方法检验季节单位根模型的有效性.     

基于深度置信网络的影响广西热带气旋年频数预测方法研究

以气候系统监测指数集、NCEP/NCAR高度场和海温场逐月再分析资料为基础,将影响广西的热带气旋年频数作为预报量,先利用随机森林方法通过计算袋外数据误差判断特征变量重要性的能力,进行随机森林算法(Random Forest,RF)的热带气旋年频数预报因子重要度的分析,再进一步采用由多层无监督学习的受限玻尔兹曼机和一层有监督学习的BP网络构成的深度置信网络(Deep Belief Networks,DBN),建立了基于非线性深度学习的热带气旋年频数预测模型.在预报因子、预报建模样本及独立预报样本相同的情况下,分别采用这种深度学习预测建模方法和逐步回归方法对影响广西的热带气旋年频数进行了预报试验.结果表明,采用这种基于随机森林算法的深度置信网络预测建模分析方法,对10年(2009年-2018年)独立预报样本的预报结果比逐步回归预测模型具有更高的预测精度,其预测平均绝对误差为1.30个,而逐步回归方法的预报平均绝对误差为2.05个;在预测评分上,新模型的预测评分为83.33分,高于逐步回归方法的预测评分73.68分.进一步地,应用新模型对2019-2020年热带气旋年频数进行实际业务预测也获...     

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.     

带相依终止事件的复发事件数据的可加可乘比率模型

本文对带相依终止事件的复发事件数据提出了一个联合建模分析方法,用一个带脆弱变量的可加可乘比率模型来刻画复发事件过程,还用带脆弱变量的Cox风险率模型来刻画终止事件过程,而且这两个过程的相依性由脆弱变量来刻画.我们利用估计方程的方法,对模型参数进行了估计,给出了所得估计的渐近性质.同时,通过数值模拟分析验证了估计的渐近性质.最后,利用该方法分析了弗吉尼亚大学慢性心脏病病人医疗诊费数据.     

员工流动季节性问题及SARIMA-ANN模型应用

中国企业员工流动受到中国商品生产季节性、劳动力市场供给周期性、员工身份两栖化等多种因素的影响,其数据呈现出季节性、非线性等特征。单一的自回归单整移动平均模型(ARIMA模型)不能较好地拟合其发展趋势并预测未来。本文通过神经网络模型(ANN模型)来修正传统的自回归单整移动平均模型(ARIMA模型),并加入季节性因素,从而形成SARIMA-ANN耦合模型,对企业员工流动的数据进行拟合与预测。通过对多组SARIMA-ANN模型的构建、衡量、比较与讨论,最终确定了较佳的神经网络对时间序列模型进行修正的耦合模型。实证结果显示,SARIMA-ANN模型充分考虑数据的季节性与趋势性,随机性与非线性特征并存的问题,对于季节性时间序列的经济数据的处理与预测是切实可行的。该耦合模型的应用证实了中国企业员工流动数据的趋势性与季节性、线性与非线性特征并存。这说明中国企业员工的流动具有更复杂的不规则的运动与突变,在精确预测有一定难度的情况下做好现有员工的留存工作是首要之策。     

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.     

ARIMA模型在新疆巴州梅毒疫情预测中的应用

搜集2008-2014年新疆巴音郭楞蒙古自治州(简称巴州)梅毒月发病数据,采用时间序列分解方法(Time Series Decomposition methods)探讨该地区梅毒月发病率的季节性,建立ARIMA(0,1,1)(1,0,1)_(12)时间序列模型,模型预测值的动态趋势与实际发病率基本吻合,平均绝对百分比误差MAPE=17.36,具有较高的预测精度,可以较好的预测短期内梅毒的变化趋势,为梅毒的预防控制措施提供可靠依据.     

Parsimonious modelling and forecasting of seasonal time series

Some seasonal time series models are considered which are appropriate for the univariate modelling and forecasting of many time series. The equivalent ARIMA forms of these models provide the basis for a critical examination of the Box-Jenkins approach to seasonal model-building. It is concluded that this approach is unsatisfactory and in particular can often result in over-differencing and the adoption of an inappropriate model. Two main reasons for this are discussed: (a) the inadequate class of models considered which rests on a restricted view of parsimony, and (b) the shortcomings of the basic approach to model identification.     

南通地区月降水量时间序列分析

根据南通地区1989年-2005年月降水量数据,在统计检验其平稳性、纯随机性的基础上,结合谱分析,建立该地区具有季节效应的疏系数ARIMA月降水量时间序列模型,对模型作了拟合预测检验.研究表明,多个模型的联合使用比单一模型更利于准确拟合预测.     

Selecting the Superpositioning of Models for Railway Freight Forecasting

The problem of selecting the optimum system of models for forecasting short-term railway traffic volumes is considered. The historical data is the daily volume of railway traffic between pairs of stations for different types of cargo. The given time series are highly volatile, noisy, and nonstationary. A system is proposed that selects the optimum superpositioning of forecasting models with respect to features of the historical data. A model of sliding averages, exponential and kernel-smoothing models, the ARIMA model, Croston’s method, and LSTM neural networks are considered as candidates for inclusion in superpositioning.     

An improved seasonal rolling grey forecasting model using a cycle truncation accumulated generating operation for traffic flow

Accurate real-time prediction of urban traffic flows is one of the most important problems in traffic management and control optimization research. Short-term traffic flow has complex stochastic and nonlinear characteristics, and it shows a similar seasonality within intraday and weekly trends. Based on these properties, we propose an improved binding cycle truncation accumulated generating operation seasonal grey rolling forecasting model. In the new model, the traffic flow sequence of seasonal fluctuation is converted to a flat sequence using the cycle truncation accumulated generating operation. Then, grey modeling of the cycle truncation accumulated generating operation sequence weakens the stochastic disturbances and highlights the intrinsic grey exponential law after the sequence is accumulated. Finally, rolling forecasts of the limited data reflect the new information priority and timeliness of the grey prediction. Two numerical traffic flow examples from China and Canada, including four groups at different time intervals (1 h, 15 min, 10 min, and 5 min), are used to verify the performance of the new model under different traffic flow conditions. The prediction results show that the model has good adaptability and stability and can effectively predict the seasonal variations in traffic flow. In 15 or 10 min traffic flow forecasts, the proposed model shows better performance than the autoregressive moving average model, wavelet neural network model and seasonal discrete grey forecasting model.     

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.     

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。