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Dickey-Fuller单位根检验步骤浅析
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作者 吴亮 姚云飞 《蚌埠学院学报》 2013年第6期12-14,共3页
单位根检验是进行经济时间序列分析的第一步,由于数据真实的产生过程是未知的,而单位根检验统计量的极限分布依赖于检验式中是否含有确定性解释变量(漂移项、时间趋势项),从而使单位根检验变得复杂,提出了一种Dickey-Fuller单位根检验步... 单位根检验是进行经济时间序列分析的第一步,由于数据真实的产生过程是未知的,而单位根检验统计量的极限分布依赖于检验式中是否含有确定性解释变量(漂移项、时间趋势项),从而使单位根检验变得复杂,提出了一种Dickey-Fuller单位根检验步骤,教授学生正确使用单位根检验。 展开更多
关键词 数据产生过程 时间序列分析 dickey-fuller单位根检验
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A note on self-normalized Dickey-Fuller test for unit root in autoregressive time series with GARCH errors 被引量:1
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作者 YANG Xiao-rong ZHANG Li-xin 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2008年第2期197-201,共5页
In this article, the unit root test for AR(p) model with GARCH errors is considered. The Dickey-Fuller test statistics are rewritten in the form of self-normalized sums, and the asymptotic distribution of the test s... In this article, the unit root test for AR(p) model with GARCH errors is considered. The Dickey-Fuller test statistics are rewritten in the form of self-normalized sums, and the asymptotic distribution of the test statistics is derived under the weak conditions. 展开更多
关键词 unit root AR (p)-GARCH (1 1) SELF-NORMALIZED dickey-fuller test statistic.
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Economic complexity and environmental sustainability in eastern European economies:Evidence from novel Fourier approach
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作者 Dervis KIRIKKALELI Emrah SOFUOGLU +1 位作者 Kashif Raza ABBASI Kwaku ADDAI 《Regional Sustainability》 2023年第4期349-358,共10页
Globally,economies have become complex and new technologies have transformed and facilitated the modernization of economies.In the previous literature,economic complexity approach has become one of the popular tools i... Globally,economies have become complex and new technologies have transformed and facilitated the modernization of economies.In the previous literature,economic complexity approach has become one of the popular tools in the development and innovation studies of economic geography.Researchers have found that green technology and eco-innovation approaches should be used to decisively reduce the effects of carbon emissions on the environment.However,debates about the impact of economic complexity on environment remain unsettled since some emerging production technologies have far-reaching pollution effects.This study explored the impacts of economic complexity on environmental sustainability in Turkey using the novel Fourier-based approaches,namely:Fourier Augmented Dickey-Fuller(FADF)and Fourier Autoregressive-Distributed Lag(FARDL)models.The Fourier-based approaches indicated that all variables(economic complexity index(ECI),GDP,energy consumption,and CO_(2)emission(CO_(2)E))are cointegrated in the long run.Additionally,the FARDL model implied that(i)in the long run,the effect of ECI(as a proxy for economic complexity),GDP(as a proxy for economic growth),and energy consumption on CO_(2)E(as a proxy for environmental quality)are important;(ii)economic complexity decreases environmental degradation in Turkey;and(iii)economic growth and energy consumption negatively affect environmental quality.The results also showed that economic complexity could be used as a policy tool to tackle environmental degradation.The findings also revealed that the fossil fuelbased economy will continue to expand and undermine Turkey’s efforts to meet its net zero emission target by 2053.Therefore,policy-makers should take actions and establish diversified economic,environmental,and energy strategies.For policy insights,the Turkish governments can use the combination of tax exemptions and technical support systems to support knowledge creation and the diffusion of environmentally friendly technologies The governments can also impose strict environmental regulations on the knowledge development phases. 展开更多
关键词 Economic complexity Environmental degradation CO_(2)emission(CO_(2)E) Fourier Autoregressive-Distributed Lag(FARDL) Fourier Augmented dickey-fuller(FADF) Economic complexity index(ECI) Turkey
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带有GARCH误差和趋势项的近单位根过程的估计 被引量:1
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作者 袁裕泽 《浙江大学学报(理学版)》 CAS CSCD 2014年第2期145-148,共4页
近单位根过程在时间序列理论中占有重要地位.因其处于平稳过程与非平稳过程(单位根过程)的中间地带,研究其统计性质的重要价值在于揭示这个中间地带的特殊属性,及其与平稳过程和单位根过程统计属性的差异.在更新项只有二阶矩存在的条件... 近单位根过程在时间序列理论中占有重要地位.因其处于平稳过程与非平稳过程(单位根过程)的中间地带,研究其统计性质的重要价值在于揭示这个中间地带的特殊属性,及其与平稳过程和单位根过程统计属性的差异.在更新项只有二阶矩存在的条件下,讨论了带有GARCH(p,q)误差项与趋势项的近单位根过程的最小二乘估计.并推导了基于最小二乘估计的Dickey-Fuller检验统计量的渐近分布.该结果在单位根检验中具有一定意义. 展开更多
关键词 GARCH 近单位根过程 dickey-fuller检验
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An Econometric Model for SINOPEC Stock Price Tendency on Domestic Securities Market
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作者 Shi Jun Xiong Yi 《Petroleum Science》 SCIE CAS CSCD 2006年第4期86-89,共4页
A time series analysis method was used to establish an econometric model for SINOPEC'S stock price tendency on the domestic securities market under the background of sharp oil price rises in recent years. The model w... A time series analysis method was used to establish an econometric model for SINOPEC'S stock price tendency on the domestic securities market under the background of sharp oil price rises in recent years. The model was proven to be a non-stationary time series and unit root process, as tested with the Dickey-Fuller method, and the result of a practical case showed that this model could well reflect SINOPEC stock price tendency on the securities market of China. It would be a guide for research and prediction of stock price tendency. 展开更多
关键词 ECONOMETRICS non-stationary time series Wiener Process unit root-process dickey-fuller method
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An Empirical Assessment of the Impact of Nigerian all Share Index, Market Capitalization, and Number of Equities on Gross Domestic Product
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作者 Obubu Maxwell Obiora-Ilouno Happiness +1 位作者 Uzuke Chinwendu Alice Ikediuwa Udoka Chinedu 《Open Journal of Statistics》 2018年第3期584-602,共19页
A stock exchange is an exchange where stock brokers and traders can buy and sell shares of stock, bonds, and other securities. All listings are included in the Nigerian Stock Exchange All Shares index. In terms of mar... A stock exchange is an exchange where stock brokers and traders can buy and sell shares of stock, bonds, and other securities. All listings are included in the Nigerian Stock Exchange All Shares index. In terms of market capitalization, the Nigerian Stock Exchange is the third largest stock exchange in Africa. Objectives: The paper assesses the impact of Nigerian Stock Market (all share index, market capitalization, and number of equities) on Gross domestic product (Economic Growth). Materials and Methods: Regression analysis and ordinary least square technique were employed. Result and Discussion: The series was stationary at 1%, 5%, and 10% α level;the residuals were normally distributed but not serially correlated at 5% α level. All Share Index, Market Capitalization and Total Number of listed Equities have a joint and individual significant effect on Economic Growth (Gross Domestic Product) with Total Number of listed Equities having a negative (opposite) linear relationship with the Gross Domestic Product. The Durbin-Watson statistics (R2 = 0.9910 = 1.3686) suggest that the model is not spurious and it is devoid of positive and negative autocorrelation (DW = 1.3686 > dl = 1.07 and DW = 1.5033 ?-?du = 2.17). Therefore, it can produce meaningful result when used for forecasting a positive relationship between gross domestic product, all share index and market capitalization with a 99.1% R-square value. Significant Positive connection between all share index, market capitalization, the number of equities and gross domestic product suggests that government policies and bills aimed towards rapid development of the capital market should be initiated. 展开更多
关键词 NIGERIAN Stock MARKET Gross Domestic Product MARKET Capitalization ALL SHARE INDEX Augmented dickey-fuller TEST Breusch-Godfrey TEST Serial Correlation Lm TEST
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The Random Walk and Trend Stationary Models with an Analysis of the US Real GDP: Can We Distinguish between the Two Models?
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作者 Kazumitsu Nawata 《Open Journal of Statistics》 2021年第1期213-229,共17页
The unit root can lead to major problems in economic time series analyses. I obtain the asymptotic distributions of the ordinary least squares (OLS) estimator when the true model is trend stationary for the following ... The unit root can lead to major problems in economic time series analyses. I obtain the asymptotic distributions of the ordinary least squares (OLS) estimator when the true model is trend stationary for the following three cases: 1) the null model is a random walk without drift, and the auxiliary regression model does not contain a constant;2) the null model is a random walk with drift, and the auxiliary regression model contains a constant;and 3) the null model is a random walk with drift, and the auxiliary regression model contains both a constant and a time trend. In the third case, the asymptotic distribution of the OLS estimator is determined by the first order of the autocorrelation, and we can distinguish between the random walk and trend stationary models, unlike in previous studies. Based on these results, the real US gross domestic product is analyzed. A time trend model with autoregressive error terms is chosen. The results suggest that the impacts of a shock can become larger than the original shock in some periods and then gradually decline. However, the impacts continue for a long period, and policy makers should account for this to design better economic policies. 展开更多
关键词 dickey-fuller Test Unit Root Random Walk Trend Stationary US GDP
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