This paper provides a means of accurately simulating explosive autoregressive processes and uses this method to analyze the distribution of the likelihood ratio test statistic for an explosive second-order autoregressive process of a unit root. While the standard Dickey-Fuller distribution is known to apply in this case, simulations of statistics in the explosive region are beset by the magnitude of the numbers involved, which cause numerical inaccuracies. This has previously constituted a bar on supporting asymptotic results by means of simulation, and analyzing the finite sample properties of tests in the explosive region. 相似文献
The authors investigated patterns of support exchanges between Korean adult children and their parents and parents‐in‐law, gender differences in these patterns, and implications of children's marital quality for exchange patterns. Data were from a nationally representative sample of married adults (N = 920, age 30–59 years) with at least 1 living parent and 1 living parent‐in‐law. Latent class analysis was applied to 12 indicators of exchanges (financial, instrumental, emotional support given to and received from parents and parents‐in‐law). Five classes of exchanges were identified, 3 showing balanced patterns of exchanges with parents and parents‐in‐law across three types of support and 2 classes with unbalanced patterns (e.g., giving instrumental and financial but not emotional support). The findings revealed variability in intergenerational exchange patterns, with a mix of patrilineal traditional and balanced patterns. Significant associations of exchange patterns with adult children's marital quality suggest the importance of balanced exchanges with parents for marriage. 相似文献
In this paper, we consider the linear autoregressive model with varying coefficients θn∈[0,1). When θn tending to the unit root, the moderate deviation principle for empirical covariance is discussed, and as statistical applications, we provide the moderate deviation estimates of the least square and the Yule–Walker estimators of the parameter θn. 相似文献
In this article three unit root tests that allow for a break in both the seasonal mean and linear trend of the data are proposed. The tests, which can be seen as small-sample corrected versions of already known asymptotic tests, are shown to perform very well in simulations, and much better than their asymptotic counterparts. 相似文献
Structural breaks in the level as well as in the volatility have often been exhibited in economic time series. In this paper, we propose new unit root tests when a time series has multiple shifts in its level and the corresponding volatility. The proposed tests are Lagrangian multiplier type tests based on the residual's marginal likelihood which is free from the nuisance mean parameters. The limiting null distributions of the proposed tests are the χ2distributions, and are affected not by the size and the location of breaks but only by the number of breaks.
We set the structural breaks under both the null and the alternative hypotheses to relieve a possible vagueness in interpreting test results in empirical work. The null hypothesis implies a unit root process with level shifts and the alternative connotes a stationary process with level shifts. The Monte Carlo simulation shows that our tests are locally more powerful than the OLSE-based tests, and that the powers of our tests, in a fixed time span, remain stable regardless the number of breaks. In our application, we employ the data which are analyzed by Perron (1990), and some results differ from those of Perron's (1990). 相似文献