基于Boosting-ARMA的碳价预测

自回归滑动平均(ARMA)模型是最流行的预测模型之一,而模型选择却是使用ARMA进行预测的难点,尤其是当真实模型的阶数较高时,因此提出Boosting-ARMA预测算法,利用Boosting算法进行最优子集ARMA寻找,自动且高效地完成ARMA模型的识别。模拟实验显示,Boosting-ARMA优于其他方法,用新算法预测碳价实证分析发现,Boosting-ARMA算法可以获得较高的碳价预测准确性并且方便快捷。     

股指期货预测模型构建及其应用效果分析

文章选择股指期货价格以及基差预测这一理论界和实务界共同关心的问题为研究对象,使用香港恒生期货数据为样本,分别采用时间序列ARIMA、ARMA模型对恒生期货连续指数的日收盘价对数序列LHF和基差序列BASIS进行建模分析,并利用预测误差检验量对模型样本外的预测效果进行了实证研究.结果表明,ARIMA(3,1,3)模型很好地拟合和预测了股指期货指数对数LHF序列的走势,达到了预测目的;ARMA(1,1)和ARMA(3,3)模型在预测精度方面不甚理想但基本刻画了基差序列的变动趋势.     

基于协整与ARMA组合模型的居民中长期消费贷款预测

文章运用协整回归与ARMA组合模型,通过房屋销售价格指数对居民中长期消费贷款进行了短期预测.先用2007年1月至2010年1月的37期数据进行Granger因果关系检验,再运用协整回归和ARMA组合建立预测模型,模型对2010年2月至6月共5期的居民中长期消费贷款进行预测,与实际数据相比,预测相对误差小于1.5%,最后提出了一些相关的政策建议.     

最优加权组合法在中国粮食产量预测中的应用研究

组合预测模型可以较大限度地利用各种预测样本信息,比单一预测模型考虑问题更系统更全面.能够有效地减少单个预测模型中一些随机因素的影响,从而提高预测精度.文章利用最优加权组合法,对柯布一道格拉斯生产函数模型,指数平滑模型和ARMA模型进行组合,通过计算确定其权重,得出未来十年的粮食预测产量;而根据MSE准则得出组合预测模型的精度比其余单一的预测模型的预测精度高.与我国在2008年提出的<国家粮食安全中长期规划纲要>中的目标进行比较发现,如果在现有条件下要达到目标,政府必须在政策和农业技术等层面制定更加切实可行的措施.     

基于百度指数的房地产价格相关性研究

文章以我国大中城市的新建住宅价格为研究对象,以均衡价格理论为基础,使用搜索关键词的百度指数开展研究,分别使用自回归移动平均模型(ARMA)和带搜索项的自回归分布滞后模型对上海市的新建住宅价格指数进行了拟合和预测.实证结果表明:百度搜索指数与价格指数之间存在协整关系,建立的自回归分布滞后模型的拟合度达到0.918,预测精度相较ARMA模型提高23.2％.与传统的预测方法相比,模型具有很强的时效性,能够比国家统计局提前一个月发布房屋价格指数数据.     

基于ARMA-GM-BP组合预测模型及应用

文章介绍了ARMA、GM(1,1)模型并建立了ARMA-GM-BP组合预测模型;通过对中国2005～2013年(DP的预测和检验,表明该组合预测模型的拟合及测试效果比单独利用ARMA、GM(1,1)模型的效果有很大改善;最后运用ARMA-GM-BP组合预测模型,对中国2014年、2015年的GDP作出了预测.     

我国月度居民消费价格指数的预测方法与应用

文章用时间序列的BP神经网络和ARMA模型的方法对我国2005年1月～2011年5月的月度CPI进行了模型分析并检验了预测效果。对比分析表明,利用月度CPI时间序列的BP神经网络方法相比ARMA模型有更好的预测精度。     

对2005年GDP季度数据的预测--基于包含趋势和季节成分的ARMA模型的分析

一、包含趋势和季节成分的ARMA模型 在经济领域里,根据一个经济变量的时间序列数据来建立经济计量模型并以此模型对该变量的未来趋势进行预测已经得到了广泛的应用,其中比较成熟的建模技术有:趋势建模、季节性建模、周期建模(ARMA模型)以及它们的混合建模.     

基于Cramer法则和ARMA模型的我国高校毕业生就业预测

鉴于Cramer法则和ARMA模型优点在于需要指标数据比较单一,便于收集且预测精确度高,故用此法对我国高校毕业生就业情况进行预测.经过检验,发现compound方程拟合度较好,得出有益的结论,并根据我国高校毕业生就业现状,对相关工作提出了建议.     

黑龙江省空气质量数据的分析和预测

本文分别基于ARMA模型,主成分分析模型和神经网络模型对黑龙江省空气质量数据进行了分析和预测。首先,基于ARMA模型,本文对黑龙江省未来的空气状况数据进行预测并检验了其预测精度。其次,采用主成分分析对大气污染物等自变量进行降维,选取了有效的主成分,并对AQI进行一定刻画。最后,借助神经网络的计算机手段,对数据中变量的复杂关系做深入挖掘,以对前面的分析结果进行合理补充。     

Linear-representation Based Estimation of Stochastic Volatility Models

Abstract.  A new way of estimating stochastic volatility models is developed. The method is based on the existence of autoregressive moving average (ARMA) representations for powers of the log-squared observations. These representations allow to build a criterion obtained by weighting the sums of squared innovations corresponding to the different ARMA models. The estimator obtained by minimizing the criterion with respect to the parameters of interest is shown to be consistent and asymptotically normal. Monte-Carlo experiments illustrate the finite sample properties of the estimator. The method has potential applications to other non-linear time-series models.     

Testing a linear ARMA model against threshold-ARMA models: A Bayesian approach

We introduce a Bayesian approach to test linear autoregressive moving-average (ARMA) models against threshold autoregressive moving-average (TARMA) models. First, the marginal posterior densities of all parameters, including the threshold and delay, of a TARMA model are obtained by using Gibbs sampler with Metropolis–Hastings algorithm. Second, reversible-jump Markov chain Monte Carlo (RJMCMC) method is adopted to calculate the posterior probabilities for ARMA and TARMA models: Posterior evidence in favor of TARMA models indicates threshold nonlinearity. Finally, based on RJMCMC scheme and Akaike information criterion (AIC) or Bayesian information criterion (BIC), the procedure for modeling TARMA models is exploited. Simulation experiments and a real data example show that our method works well for distinguishing an ARMA from a TARMA model and for building TARMA models.     

Forecasting ARMA models: a comparative study of information criteria focusing on MDIC

This paper deals with the implementation of model selection criteria to data generated by ARMA processes. The recently introduced modified divergence information criterion is used and compared with traditional selection criteria like the Akaike information criterion (AIC) and the Schwarz information criterion (SIC). The appropriateness of the selected model is tested for one- and five-step ahead predictions with the use of the normalized mean squared forecast errors (NMSFE).     

A wavelet-based approach to the analysis and modelling of financial time series exhibiting strong long-range dependence: the case of Southeast Europe

This paper demonstrates the utilization of wavelet-based tools for the analysis and prediction of financial time series exhibiting strong long-range dependence (LRD). Commonly emerging markets' stock returns are characterized by LRD. Therefore, we track the LRD evolvement for the return series of six Southeast European stock indices through the application of a wavelet-based semi-parametric method. We further engage the á trous wavelet transform in order to extract deeper knowledge on the returns term structure and utilize it for prediction purposes. In particular, a multiscale autoregressive (MAR) model is fitted and its out-of-sample forecast performance is benchmarked to that of ARMA. Additionally, a data-driven MAR feature selection procedure is outlined. We find that the wavelet-based method captures adequately LRD dynamics both in calm as well as in turmoil periods detecting the presence of transitional changes. At the same time, the MAR model handles with the complicated autocorrelation structure implied by the LRD in a parsimonious way achieving better performance.     

空气质量指数监控与预测的控制图方法

世界上多数国家都采用空气质量指数这一指标衡量空气质量状况,对空气质量的有效监测和预警是解决空气污染的重要参考依据.本研究使用ARMA模型拟合空气污染指数(API)时序数据,通过模型残差建立控制图,根据控制图的变化监控并预警.研究采用2010年上海世博会API作为可控状态建立控制限,以2011年1～8月上海API数据建立ARMA(1,1)模型,通过2011年9月上海API模型预测与残差控制图证实模型和控制图的有效性.     

Bounded Area Tests For Comparing The Dynamics Between ARMA Processes

This article presents a new test for discerning whether or not two independent autoregressive moving average (ARMA) processes have the same autocovariance structure. This test utilizes a specific geometric feature of a time series plot, namely the area bounded between the line segments that connect adjacent points and the time axis. It will be shown that if you sample two ARMA processes and calculate the magnitudes of the two resulting bounded areas, then a significant difference among these areas tends to imply a significant difference in autocovariances.     

Bootstrap-based ARMA order selection

Modelling the underlying stochastic process is one of the main goals in the study of many dynamic phenomena, such as signal processing, system identification and time series. The issue is often addressed within the framework of ARMA (Autoregressive Moving Average) paradigm, so that the related task of identification of the ‘true’ order is crucial. As it is well known, the effectiveness of such an approach may be seriously compromised by misspecification errors since they may affect model capabilities in capturing dynamic structures of the process. As a result, inference and empirical outcomes may be heavily misleading. Despite the big number of available approaches aimed at determining the order of an ARMA model, the issue is still open. In this paper, we bring the problem in the framework of bootstrap theory in conjunction with the information-based criterion of Akaike (AIC), and a new method for ARMA model selection will be presented. A theoretical justification for the proposed approach as well as an evaluation of its small sample performances, via simulation study, are given.     

时间序列多期累积量的预测区间及应用

一、引言在时间序列分析的许多实际应用中,考虑的预测区间通常有两种,一种是单期预测区间,另一种是多期联立预测区间。后者是一个新的研究领域。对时间序列Ｘｔ,可观察时间ｔ＝１,２,…,ｎ,建立单期预测区间是指对给定的α,找到常数Ｃ使Ｐ（｜Ｘｎ＋ｋ－Ｘｎ（ｋ...     

Analysis of multivariate arma processes with non-stationary innovations

The paper considers vector ARMA processes with nonstationary innovations. It is suggested that this class of models provide a very efficient framework for nonstationary problems. A generalization of the Yule-Walker equations relating the underlying process is obtained. Identification procedures are discussed. The associated prediction problem is solved using the Hilbert space approach.     

Autoregressive moving-average convolution processes on the unit circle

ARMA convolution models for processes in continuous space (in this case the unit circle) and discrete time are derived as a natural extension of the usual Box-Jenkins models. Both weakly time-stationary and nonstationary processes are considered. Sufficient conditions for the existence of weakly time-stationary AR_cMA_c processes are derived, and the covariance functions for some processes are computed. It is demonstrated that the usual scalar and multivariate ARMA processes can be embedded within the larger class of AR_CMA_c models. A possible application of these models to sea-surface temperature prediction is discussed.