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Common Mutual Information Selection Algorithm and Its Application on Combination Forecasting 公共互信息选择算法及其在组合预测中的应用
IF 3.4 3区 经济学 Q1 ECONOMICS Pub Date : 2024-12-11 DOI: 10.1002/for.3240
Chenqing Shen, Huayou Chen

The subset selection of individual prediction methods is gradually becoming a hot topic. Among numerous forecasts, identifying the optimal subset approach has become a major focal point of research. To address this issue, the paper introduces a novel method based on information theory, which is called common mutual information (CMI) selection algorithm. This optimal subset selection method not only simultaneously considers the relationships of three factors, which include the candidate feature set, the selected feature set, and the actual time series, but also provides a more precise treatment of these relationships. Therefore, CMI algorithm employs the mutual information (MI) shared among the three factors as the criterion for selection and improves the accuracy of the redundancy or correlation measure for existing algorithms. Furthermore, it overcomes the deficiency of calculating MI between the candidate subset and the actual time series. Existing algorithms use the average MI values between individual elements within the subset and the actual sequence; this paper takes the selected subset as a multidimensional input for MI computation, thus reducing computational errors. Finally, the proposed algorithm is compared with two other approaches of the MI algorithm, the Max-Relevance and Min-Redundancy (mRMR) algorithm in both theoretical and empirical aspects. The experiments are illustrated to show the effectiveness and superiority of CMI algorithm.

个体预测方法的子集选择正逐渐成为研究的热点。在众多预测中,确定最优子集方法已成为研究的主要焦点。为了解决这一问题,本文引入了一种基于信息论的新方法——公共互信息(CMI)选择算法。这种最优子集选择方法不仅同时考虑了候选特征集、被选特征集和实际时间序列三者之间的关系,而且对三者之间的关系进行了更精确的处理。因此,CMI算法采用三个因素之间共享的互信息(MI)作为选择标准,提高了现有算法冗余或相关度量的准确性。此外,它还克服了候选子集与实际时间序列之间MI计算的不足。现有算法使用子集内单个元素与实际序列之间的平均MI值;本文将选择的子集作为MI计算的多维输入,从而减少了计算误差。最后,将该算法与MI算法的另外两种方法,即最大相关性和最小冗余度(mRMR)算法在理论和经验方面进行了比较。实验证明了CMI算法的有效性和优越性。
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引用次数: 0
Forecasting the Realized Volatility of Stock Markets: The Roles of Jumps and Asymmetric Spillovers 股票市场已实现波动率的预测:跳跃和非对称溢出的作用
IF 3.4 3区 经济学 Q1 ECONOMICS Pub Date : 2024-12-10 DOI: 10.1002/for.3219
Abdel Razzaq Al Rababaa, Walid Mensi, David McMillan, Sang Hoon Kang

This paper evaluates the roles of jump and sign-asymmetry spillovers in forecasting the realized volatility in a large sample of 20 stock markets. We compare for the first time whether controlling for either the jumps or asymmetric spillovers into the heterogeneous autoregressive–realized volatility (HAR-RV) model improves the forecasts over 1, 5 and 22 days. Before doing so, the spillovers predictors are generated. In analyzing the spillover process, we find that the US stock market remains the main net transmitter of shocks, and while China is relatively detached from the spillover linkages, such effects may be transmitted through Hong Kong, which is a significant receiver of shocks. The out-of-sample results reveal that the incorporation of jump spillovers improves forecast performance the most across a range of measures. This is more clearly demonstrated at the 22-day forecasting horizon more notably in Europe, France, Germany, India, and the United Kingdom. Lastly, irrespective of the forecasting horizon, performing the predicting stability test uncovers significant improvements in the jump spillover–based model during periods of notable market stress such as the 2014–2016 oil price crash and COVID-19. Overall, results suggest paying more attention to jump spillover while constructing international portfolios based on the realized volatility.

本文评估了跳跃溢出和符号不对称溢出在预测20个大样本股票市场的已实现波动率中的作用。我们首次比较了在异质性自回归实现波动率(HAR-RV)模型中控制跳跃或不对称溢出是否能改善1、5和22天的预测。在此之前,会生成溢出预测因子。在分析溢出过程中,我们发现美国股市仍然是冲击的主要净传递者,而中国相对脱离溢出联系,这种影响可能通过香港传递,香港是一个重要的冲击接收者。样本外的结果表明,在一系列测量中,跳跃溢出的结合对预测性能的改善最大。这一点在欧洲、法国、德国、印度和英国的22天预测范围中表现得更为明显。最后,无论预测范围如何,执行预测稳定性测试发现,在2014-2016年油价暴跌和2019冠状病毒病等显著市场压力时期,基于跳跃溢出的模型有了显著改善。总体而言,研究结果表明,在构建基于实现波动率的国际投资组合时,应更加关注跳跃溢出。
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引用次数: 0
On the Detection of Structural Breaks: The Case of the Covid Shock 论结构性断裂的检测:以新冠肺炎冲击为例
IF 3.4 3区 经济学 Q1 ECONOMICS Pub Date : 2024-12-09 DOI: 10.1002/for.3238
Stephen G. Hall, George S. Tavlas, Lorenzo Trapani, Yongli Wang

Both the Federal Reserve (Fed) and the European Central Bank (ECB) have been criticized for not having perceived that the outbreak of Covid at the beginning of 2020 would lead to a structural change in inflation in the early 2020s. Both central banks viewed the initial inflation surge in 2021 as temporary and delayed monetary tightening until 2022. We argue that the existing literature on structural breaks could not have been useful to policymakers because it identifies the breaks in an arbitrary way. The tests used to identify breaks do not incorporate prior knowledge that a break may have occurred so that the tests have very little power to detect a break that occurs at the end of the sample. We show that, in the event of a major shock, such as Covid, using knowledge that a break may have occurred and testing for a break in a recursive way as new data become available could have alerted policymakers to the break in inflation. We conduct Monte Carlo simulations suggesting that our method would have identified that a break had occurred in inflation by the end of 2020, well before policymakers had perceived the break.

美联储(Fed)和欧洲央行(ECB)都被批评没有意识到 2020 年初爆发的 Covid 会导致 2020 年代初通胀的结构性变化。这两家央行都认为 2021 年最初的通胀飙升是暂时的,并将货币紧缩政策推迟到了 2022 年。我们认为,现有关于结构性断裂的文献对政策制定者并无用处,因为这些文献是以任意的方式确定断裂的。用于识别断裂的检验并不包含断裂可能已经发生的先验知识,因此检验发现发生在样本末期的断裂的能力非常有限。我们的研究表明,在发生重大冲击(如 Covid)的情况下,利用可能已经发生断裂的知识,并在获得新数据时以递归方式对断裂进行检验,本可以提醒政策制定者注意通货膨胀的断裂。我们进行了蒙特卡洛模拟,结果表明,我们的方法可以在 2020 年底之前发现通胀已经中断,这比政策制定者察觉到通胀中断要早得多。
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引用次数: 0
Step by Step—A Quarterly Evaluation of EU Commission's GDP Forecasts 一步一步:欧盟委员会GDP预测季度评估
IF 3.4 3区 经济学 Q1 ECONOMICS Pub Date : 2024-12-09 DOI: 10.1002/for.3226
Katja Heinisch

The European Commission's growth forecasts play a crucial role in shaping policies and provide a benchmark for many (national) forecasters. The annual forecasts are built on quarterly estimates, which do not receive much attention and are hardly known. Therefore, this paper provides a comprehensive analysis of multiperiod ahead quarterly GDP growth forecasts for the European Union (EU), euro area, and several EU member states with respect to first-release and current-release data. Forecast revisions and forecast errors are analyzed, and the results show that the forecasts are not systematically biased. However, GDP forecasts for several member states tend to be overestimated at short-time horizons. Furthermore, the final forecast revision in the current quarter is generally downward biased for almost all countries. Overall, the differences in mean forecast errors are minor when using real-time data or pseudo–real-time data and these differences do not significantly impact the overall assessment of the forecasts' quality. Additionally, the forecast performance varies across countries, with smaller countries and Central and Eastern European countries (CEECs) experiencing larger forecast errors. The paper provides evidence that there is still potential for improvement in forecasting techniques both for nowcasts but also forecasts up to eight quarters ahead. In the latter case, the performance of the mean forecast tends to be superior for many countries.

欧盟委员会的增长预测在制定政策方面发挥着至关重要的作用,并为许多(国家)预测者提供了基准。年度预测建立在季度估算的基础上,而季度估算并未受到太多关注,也几乎不为人所知。因此,本文针对首次发布和当前发布的数据,对欧盟(EU)、欧元区和几个欧盟成员国的多期超前季度 GDP 增长预测进行了全面分析。对预测修正和预测误差进行了分析,结果表明预测没有系统性偏差。然而,一些成员国的 GDP 预测在短时间内往往被高估。此外,几乎所有国家本季度的最终预测修正值都普遍偏低。总体而言,在使用实时数据或伪实时数据时,平均预测误差的差异较小,这些差异不会对预测质量的整体评估产生重大影响。此外,各国的预测结果也不尽相同,小国和中东欧国家(CEECs)的预测误差较大。本文提供的证据表明,预测技术仍有改进的余地,既包括即时预测,也包括提前八个季度的预测。在后一种情况下,对许多国家而言,平均预测的性能往往更优越。
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引用次数: 0
Extended Multivariate EGARCH Model: A Model for Zero-Return and Negative Spillovers 扩展多元EGARCH模型:一个零收益和负溢出的模型
IF 3.4 3区 经济学 Q1 ECONOMICS Pub Date : 2024-12-08 DOI: 10.1002/for.3243
Yongdeng Xu

This paper introduces an extended multivariate EGARCH model that overcomes the zero-return problem and allows for negative news and volatility spillover effects, making it an attractive tool for multivariate volatility modeling. Despite limitations, such as noninvertibility and unclear asymptotic properties of the QML estimator, our Monte Carlo simulations indicate that the standard QML estimator is consistent and asymptotically normal for larger sample sizes (i.e., T2500). Two empirical examples demonstrate the model's superior performance compared to multivariate GJR-GARCH and Log-GARCH models in volatility modeling. The first example analyzes the daily returns of three stocks from the DJ30 index, while the second example investigates volatility spillover effects among the bond, stock, crude oil, and gold markets. Overall, this extended multivariate EGARCH model offers a flexible and comprehensive framework for analyzing multivariate volatility and spillover effects in empirical finance research.

本文介绍了一种扩展的多元EGARCH模型,该模型克服了零收益问题,并允许负面新闻和波动溢出效应,使其成为多元波动率建模的一个有吸引力的工具。尽管有局限性,如QML估计量的不可逆性和不明确的渐近性质,我们的蒙特卡罗模拟表明,对于较大的样本量(即T≥2500),标准QML估计量是一致的和渐近正态的。两个实例表明,该模型在波动性建模方面优于多元GJR-GARCH和Log-GARCH模型。第一个例子分析了DJ30指数中三只股票的日收益,而第二个例子研究了债券、股票、原油和黄金市场之间的波动溢出效应。总体而言,这一扩展的多元EGARCH模型为实证金融研究中的多元波动性和溢出效应分析提供了一个灵活而全面的框架。
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引用次数: 0
Formalizing a Postprocessing Procedure for Linear–Convex Combination Forecasts 线性-凸组合预测的后处理程序的形式化
IF 3.4 3区 经济学 Q1 ECONOMICS Pub Date : 2024-12-08 DOI: 10.1002/for.3229
Verena Monschang, Bernd Wilfling

We investigate mean squared forecast error (MSE) accuracy improvements for linear–convex combination forecasts, whose components are pretreated by a postprocessing procedure called “vector autoregressive forecast error modeling” (VAFEM). Assuming that the forecast error series of the individual forecasts are governed by a stable VAR process under classic conditions, we obtain the following results: (i) VAFEM treatment bias corrects all individual and linear–convex combination forecasts. (ii) Any VAFEM-treated combination has a smaller theoretical MSE than its untreated analog, if the VAR parameters are known. (iii) In empirical applications, VAFEM gains depend on (1) in-sample sizes, (2) out-of-sample forecast horizons, and (3) the biasedness of the untreated forecast combination. We demonstrate the VAFEM capacity in simulations and for realized-volatility forecasting, using S&P 500 data.

我们研究了线性-凸组合预测的均方预测误差(MSE)精度的提高,其分量通过一种称为“向量自回归预测误差建模”(VAFEM)的后处理程序进行预处理。假设个体预测的预测误差序列在经典条件下由稳定的VAR过程控制,我们得到以下结果:(1)VAFEM处理偏差校正了所有个体和线性凸组合预测。(ii)如果VAR参数已知,任何经过vafem处理的组合的理论MSE都小于未经处理的模拟。(iii)在实证应用中,VAFEM收益取决于(1)样本内大小,(2)样本外预测范围,以及(3)未经处理的预测组合的偏倚。我们证明了VAFEM在模拟和实现波动率预测方面的能力,使用标准普尔500指数数据。
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引用次数: 0
Money Growth and Inflation—How to Account for the Differences in Empirical Results 货币增长与通货膨胀——如何解释实证结果的差异
IF 3.4 3区 经济学 Q1 ECONOMICS Pub Date : 2024-12-03 DOI: 10.1002/for.3231
Martin Mandler, Michael Scharnagl

Empirical analyses have presented different results on the long-run relationship between money growth and inflation with some pointing to a stable relationship with a slope coefficient of close to one and others suggesting instability or a weakening of the relationship over time. Using the example case of the United States and nearly 150 years of data, we provide a systematic investigation into and comparison of the results from time series-based empirical evidence on the relationship between money growth and inflation. We use the results from a wavelet analysis as a benchmark as it offers a flexible framework that provides information on the relationship both across different frequencies and different points in time. We relate these results to those in the literature obtained from other empirical approaches and investigate the underlying causes of differences in the results. We argue that it is possible to arrive at a consistent conclusion of a stable correlation between money growth and inflation in the United States at cycles of 30 to 60 years with a declining trend in the slope relationship even though the empirical results in the literature appear to be at odds. We show that in some analyses, the evidence on the “long-run” relationship is distorted by unintentionally including higher frequencies or that results are dominated by outliers at very low frequencies for which the data do not contain much information. Furthermore, the way in which different analyses account for time variation also can influence the results.

实证分析对货币增长和通货膨胀之间的长期关系给出了不同的结果,一些人指出斜率系数接近1的稳定关系,而另一些人则认为随着时间的推移,这种关系不稳定或减弱。本文以美国为例,利用近150年的数据,对基于时间序列的货币增长与通货膨胀之间关系的实证结果进行了系统的调查和比较。我们使用小波分析的结果作为基准,因为它提供了一个灵活的框架,可以提供不同频率和不同时间点之间的关系信息。我们将这些结果与从其他经验方法中获得的文献中的结果联系起来,并调查结果差异的潜在原因。我们认为,尽管文献中的实证结果似乎不一致,但有可能得出一致的结论,即美国货币增长与通货膨胀之间在30至60年的周期内存在稳定的相关性,并且斜率关系呈下降趋势。我们表明,在一些分析中,关于“长期”关系的证据被无意中包括更高的频率所扭曲,或者结果被非常低频率的异常值所主导,而这些数据不包含太多信息。此外,考虑时间变化的不同分析方式也会影响结果。
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引用次数: 0
Trade and Economic Activity: Nonlinear Modeling and Forecasting 贸易与经济活动:非线性建模与预测
IF 3.4 3区 经济学 Q1 ECONOMICS Pub Date : 2024-12-01 DOI: 10.1002/for.3230
Alessandro Borin, Andrea Gazzani, Michele Mancini

Motivated by the increasing role of trade in global economic developments, this paper derives novel econometric methods to forecast global trade by exploiting the relationship between economic activity and trade itself. We empirically document that the relation between trade and economic activity changes along the business cycle—the stronger the cycle, the larger their elasticity. Consistently with theoretical predictions, such cyclicality depends on two key factors: (i) the high pro-cyclicalilty of the demand for intensively traded items and (ii) the presence of low-frequency (“trend”) components in trade and GDP series. We show that the latter is key to generate a cyclical income elasticity of trade and that a linear relationship holds once those components are filtered out. These empirical findings are exploited in two original empirical approaches to map GDP forecasts, for which rather accurate and timely projections are available, into world trade forecast. In an out-of-sample real-time forecasting exercise, with both the proposed methods, we obtain predictions that are vividly more accurate than naive linear models and nearly halve the forecast error of the IMF-WEO.

由于贸易在全球经济发展中的作用越来越大,本文通过利用经济活动与贸易本身之间的关系,推导出新的计量经济学方法来预测全球贸易。我们的经验证明,贸易和经济活动之间的关系随着经济周期的变化而变化——周期越强,它们的弹性越大。与理论预测一致,这种周期性取决于两个关键因素:(i)密集交易项目需求的高顺周期性;(ii)贸易和GDP系列中低频(“趋势”)成分的存在。我们表明,后者是产生周期性贸易收入弹性的关键,一旦这些成分被过滤掉,线性关系就会成立。这些实证发现在两种原始的实证方法中得到利用,将国内生产总值预测映射到世界贸易预测中,这是相当准确和及时的预测。在样本外实时预测练习中,采用这两种方法,我们得到的预测明显比朴素线性模型更准确,并且将IMF-WEO的预测误差降低了近一半。
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引用次数: 0
Visualizing Uncertainty in Time Series Forecasts: The Impact of Uncertainty Visualization on Users' Confidence, Algorithmic Advice Utilization, and Forecasting Performance 可视化时间序列预测中的不确定性:不确定性可视化对用户信心、算法建议利用率和预测性能的影响
IF 3.4 3区 经济学 Q1 ECONOMICS Pub Date : 2024-11-28 DOI: 10.1002/for.3222
Dirk Leffrang, Oliver Müller

Time series forecasts are always associated with uncertainty. However, experimental studies on the impact of uncertainty communication provide inconclusive results on the effect of providing this uncertainty to end users. In this study, we examine the impact of uncertainty visualizations on advice utilization in the context of time series forecasts with line charts. Based on a literature review, we identified probabilistic framing versus frequency framing as a theoretical foundation for studying the topic. We then used the Judge Advisor System (JAS) as a framework to create an experimental design with two treatments (95% prediction interval [PI] and ensemble plots), one control group (point plot), and various mediating variables (e.g., confidence, graph literacy, and domain knowledge). The results of an online experiment (N=239) indicate a U-shaped relation between uncertainty visualization and forecasting performance. Additionally, we examine how confidence, advice utilization, and other factors mediate the effect of uncertainty visualizations. This paper highlights the benefits of PI plots for researchers and practitioners engaged in the development of effective uncertainty visualizations for decision-making processes.

时间序列预测总是伴随着不确定性。然而,关于不确定性通信影响的实验研究对向最终用户提供这种不确定性的影响提供了不确定的结果。在这项研究中,我们研究了不确定性可视化对线形图时间序列预测的建议利用率的影响。基于文献回顾,我们确定了概率框架与频率框架作为研究该主题的理论基础。然后,我们使用法官顾问系统(JAS)作为框架,创建了一个实验设计,其中包括两个处理(95%预测区间[PI]和集合图),一个对照组(点图)和各种中介变量(例如置信度,图形素养和领域知识)。一项在线实验(N = 239)的结果表明,不确定性可视化与预测性能之间呈u型关系。此外,我们研究了信心、建议利用率和其他因素如何介导不确定性可视化的影响。本文强调了PI图对从事决策过程有效不确定性可视化开发的研究人员和实践者的好处。
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引用次数: 0
Evaluating Inflation Forecasts in the Euro Area and the Role of the ECB 评估欧元区的通胀预测和欧洲央行的作用
IF 3.4 3区 经济学 Q1 ECONOMICS Pub Date : 2024-11-26 DOI: 10.1002/for.3235
Bertrand Candelon, Francesco Roccazzella

This paper evaluates the informative value of the ECB inflation forecasts vis-à-vis other institutional and model-based forecasts in the euro area using ex post optimal combinations of forecasts and nonnegative weights. From a methodological perspective, we adapt the corresponding forecast encompassing test to the constrained parameter space, showcasing its superior performance over traditional encompassing tests in both size and power properties. Empirically, the combining weights and the forecast encompassing test reveal that the ECB was the most informative forecaster of euro area inflation over the 2009–2021 period. This changed in 2022: The ECB lost its position as the most informative forecaster, and when using rolling windows to estimate the combining weights using a rolling window, we find an important decline in the ECB's weight over time. This time dependency can be associated with the economic environment and, in particular, the level of uncertainty, the monetary policy, and the macro-financial conditions in which the ECB operates.

本文使用事后最优预测和非负权重组合来评估欧洲央行通胀预测与-à-vis欧元区其他机构和基于模型的预测的信息价值。从方法学的角度来看,我们将相应的预测包络测试适应于受限的参数空间,展示了其在尺寸和功率特性方面优于传统包络测试的性能。从经验上看,组合权重和预测包含测试表明,欧洲央行是2009-2021年期间欧元区通胀的最具信息性的预测者。这种情况在2022年发生了变化:欧洲央行失去了作为信息量最大的预测者的地位,当使用滚动窗口来估计使用滚动窗口的组合权重时,我们发现欧洲央行的权重随着时间的推移出现了重要的下降。这种时间依赖性可能与经济环境有关,特别是与不确定性水平、货币政策和欧洲央行所处的宏观金融环境有关。
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引用次数: 0
期刊
Journal of Forecasting
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