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持久性变点的比率型估计量AI 解读

We study estimation of the date of change in persistence, from I(0) to I(1) or vice versa. Contrary to statements in the original papers, our analytical results establish that the ratio-based break point estimators of Kim [Kim, J.Y., 2000. Detection of change in persistence of a linear time series. Journal of Econometrics 95, 97–116], Kim et al. [Kim, J.Y., Belaire-Franch, J., Badillo Amador, R., 2002. Corringendum to “Detection of change in persistence of a linear time…

增广 HEGY 季节单位根检验AI 解读

In this paper we extend the large-sample results provided for the augmented Dickey–Fuller test by Said and Dickey (1984, Biometrika 71, 599–607) and Chang and Park (2002, Econometric Reviews 21, 431–447) to the case of the augmented seasonal unit root tests of Hylleberg, Engle, Granger, and Yoo (1990, Journal of Econometrics 44, 215–238), inter alia. Our analysis is performed under the same conditions on the innovations as in Chang and Park (2002), thereby allowing for…

加权平滑转换回归AI 解读

SUMMARY A new procedure is proposed for modelling nonlinearity of a smooth transition form, by allowing the transition variable to be a weighted function of lagged observations. This function depends on two unknown parameters and requires specification of the maximum lag only. Nonlinearity testing for this specification uses a search over a plausible set of weight function parameters, combined with bootstrap inference. Finite‐sample results show that the recommended wild…

周期整合自回归过程中的季节单位根检验AI 解读

This paper examines the implications of applying the Hylleberg, Engle, Granger, and Yoo (1990, Journal of Econometrics 44, 215–238) (HEGY) seasonal root tests to a process that is periodically integrated. As an important special case, the random walk process is also considered, where the zero-frequency unit root t -statistic is shown to converge to the Dickey–Fuller distribution and all seasonal unit root statistics diverge. For periodically integrated processes and a…

季节调整对经济周期扩张与衰退状态性质的影响AI 解读

Abstract We study the impact of seasonal adjustment on the properties of business cycle expansion and recession regimes using analytical, simulation and empirical methods. Analytically, we show that the X‐11 adjustment filter both reduces the magnitude of change at turning points and reduces the depth of recessions, with specific effects depending on the length of the recession. A Monte Carlo analysis using Markov‐switching models confirms these properties, with particularly…

周期单整过程的协整AI 解读

Integration for seasonal time series can take the form of seasonal periodic or nonperiodic integration. When seasonal time series are periodically integrated, we show that any cointegration is either full periodic cointegration or full nonperiodic cointegration, with no possibility of cointegration applying for only some seasons. In contrast, seasonally integrated series can be seasonally, periodically or nonperiodically cointegrated, with the possibility of cointegration…

英国消费与生产的商业周期非线性AI 解读

This paper develops non-linear smooth transition autoregressive (STAR) models with two additive smooth transition components to capture the business cycle characteristics of UK real consumers' expenditure and industrial production. The results indicate consumption has essentially two business cycle regimes: recession and expansion. Industrial production, however, is characterized by the three regimes of recession, normal growth and high growth. The transitions describing…

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周期自回归模型预测英国季节性消费的表现AI 解读

The parameters of a periodic model are allowed to vary according to the time at which observations are made. Periodic autoregressive models are fitted to the quarterly values of seasonally unadjusted real nondurable consumers' expenditure for the United Kingdom and its components. The periodic model offers no improvement over conventional specifications if the aggregate is modeled directly. On the other hand, periodic models generally perform well for the components, which…

移动平均过程估计所用准则函数的比较AI 解读

It is well known that unconditional and conditional least squares estimators are asymptotically maximum likelihood for invertible moving average (MA) processes. By writing the criteria functions for these three estimators in comparable form, we establish simple inequalities between them and also between the corresponding disturbance variance estimates. Further analysis is carried out by examining the expected values of the criteria functions for given (true) coefficients in…

移动平均过程估计中的准则函数AI 解读

It is well known that unconditional and conditional least squares estimators are asymptotically maximum likelihood for invertible moving average (MA) processes. By writing the criteria functions for these three estimators in comparable form, we establish simple inequalities between them and also between the corresponding disturbance variance estimates. Further analysis is carried out by examining the expected values of the criteria functions for given (true) coefficients in…

向量移动平均过程的精确与近似最大似然估计AI 解读

Summary This paper derives the exact likelihood function for the vector moving average process; the method used is a generalization of that adopted by Box and Jenkins (1970, Appendix A7.4) for the univariate process. Tunnicliffe Wilson (1973) has previously considered the estimation of parameters in multivariate time series models, and his procedure for moving averages is shown to be an approximation to maximum likelihood. A procedure for the computation of the exact…