Hugo Ferrer-Pérez, María-Isabel Ayuda, Antonio Aznar
{"title":"Improving the Performance of a Long-Run Variance Ratio Test for a Unit Root","authors":"Hugo Ferrer-Pérez, María-Isabel Ayuda, Antonio Aznar","doi":"10.1111/jere.12185","DOIUrl":null,"url":null,"abstract":"<p>Cai and Shintani (2006, <i>Econometric Theory</i>, 22, 347–372) considered the impact of introducing an inconsistent long-run variance estimator when constructing a class of kernel-based ratio tests for testing non-stationarity in the series. They found that the quotient of two estimators with different rates of convergence under the null and the alternative hypotheses may lead to a test having an interesting size and power trade-off. This paper develops modified versions of this test, presents new asymptotic results and tabulates critical values. The finite sample performance is explored through Monte Carlo simulations. The results show that the modifications proposed lead to more powerful unit root tests.</p>","PeriodicalId":45642,"journal":{"name":"Japanese Economic Review","volume":"70 2","pages":"258-274"},"PeriodicalIF":1.5000,"publicationDate":"2018-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1111/jere.12185","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Japanese Economic Review","FirstCategoryId":"96","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1111/jere.12185","RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ECONOMICS","Score":null,"Total":0}
引用次数: 0
Abstract
Cai and Shintani (2006, Econometric Theory, 22, 347–372) considered the impact of introducing an inconsistent long-run variance estimator when constructing a class of kernel-based ratio tests for testing non-stationarity in the series. They found that the quotient of two estimators with different rates of convergence under the null and the alternative hypotheses may lead to a test having an interesting size and power trade-off. This paper develops modified versions of this test, presents new asymptotic results and tabulates critical values. The finite sample performance is explored through Monte Carlo simulations. The results show that the modifications proposed lead to more powerful unit root tests.
期刊介绍:
Started in 1950 by a group of leading Japanese economists under the title The Economic Studies Quarterly, the journal became the official publication of the Japanese Economic Association in 1959. As its successor, The Japanese Economic Review has become the Japanese counterpart of The American Economic Review, publishing substantial economic analysis of the highest quality across the whole field of economics from researchers both within and outside Japan. It also welcomes innovative and thought-provoking contributions with strong relevance to real economic issues, whether political, theoretical or policy-oriented.