数量经济技术经济研究
數量經濟技術經濟研究
수량경제기술경제연구
The Journal of Quantitative & Technical Economics
2012年
8期
137~149
,共null页
单位根检验 检验功效 局部多项式拟合 非线性趋势
單位根檢驗 檢驗功效 跼部多項式擬閤 非線性趨勢
단위근검험 검험공효 국부다항식의합 비선성추세
Unit Root Test; Test Power; Local Polynomial Regression; Nonlinear Trend
本文首先利用局部多项式回归来去除确定性趋势,然后利用残差差分序列长短时方差比进行单位根检验。该方法不用考虑趋势的具体形式及设定问题,因而也就回避了对趋势设定的检验问题。其次,本文研究了检验统计量的极限分布,仿真研究了窗宽的选择问题,以及残差相关与不相关时的检验水平与检验功效。最后,检验结果表明该方法是有效的。
本文首先利用跼部多項式迴歸來去除確定性趨勢,然後利用殘差差分序列長短時方差比進行單位根檢驗。該方法不用攷慮趨勢的具體形式及設定問題,因而也就迴避瞭對趨勢設定的檢驗問題。其次,本文研究瞭檢驗統計量的極限分佈,倣真研究瞭窗寬的選擇問題,以及殘差相關與不相關時的檢驗水平與檢驗功效。最後,檢驗結果錶明該方法是有效的。
본문수선이용국부다항식회귀래거제학정성추세,연후이용잔차차분서렬장단시방차비진행단위근검험。해방법불용고필추세적구체형식급설정문제,인이야취회피료대추세설정적검험문제。기차,본문연구료검험통계량적겁한분포,방진연구료창관적선택문제,이급잔차상관여불상관시적검험수평여검험공효。최후,검험결과표명해방법시유효적。
This paper proposes an approach of unit root test of residual series after detrending deterministic trend through local polynomial regression. The deterministic trend may be in any forms including linear or nonlinear one, as well as in form of non-trend. It is not necessary to identify the sort and the specification of the trend in advance, therefore it is able to circumvent the test of the trend specification. This paper develops the limiting distribution of unit root test based on the ratio of long and short run variance of the difference of residual series, and researches how to select the bandwidth by Monte Carlo and how to simulates the test size and power with correlated and uncorrelated residual series. The result demonstrates that the approach is effective.