{"title":"协整检验的比较","authors":"Petr Mariel","doi":"10.21136/am.1996.134335","DOIUrl":null,"url":null,"abstract":"In this paper some of the cointegration tests applied to a single equation are compared. Many of the existent cointegration tests are simply extensions of the unit root tests applied to the residuals of the cointegrating regression and the habitual $H_{0}$ is no cointegration. However, some non residual-based tests and some tests of the opposite null hypothesis have recently appeared in literature. Monte Carlo simulations have been used for the power comparison of the nine selected tests ($ADF$, $\\hat{Z}_{\\alpha }$, $\\hat{Z}_{t}$, $DHS$, $J1$, $H1$, $H2$, $C$, $LBI$) using several types of data generating processes.","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"13 1","pages":"411-431"},"PeriodicalIF":0.6000,"publicationDate":"1996-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"A comparison of cointegration tests\",\"authors\":\"Petr Mariel\",\"doi\":\"10.21136/am.1996.134335\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper some of the cointegration tests applied to a single equation are compared. Many of the existent cointegration tests are simply extensions of the unit root tests applied to the residuals of the cointegrating regression and the habitual $H_{0}$ is no cointegration. However, some non residual-based tests and some tests of the opposite null hypothesis have recently appeared in literature. Monte Carlo simulations have been used for the power comparison of the nine selected tests ($ADF$, $\\\\hat{Z}_{\\\\alpha }$, $\\\\hat{Z}_{t}$, $DHS$, $J1$, $H1$, $H2$, $C$, $LBI$) using several types of data generating processes.\",\"PeriodicalId\":55505,\"journal\":{\"name\":\"Applications of Mathematics\",\"volume\":\"13 1\",\"pages\":\"411-431\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"1996-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Applications of Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.21136/am.1996.134335\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applications of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.21136/am.1996.134335","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
In this paper some of the cointegration tests applied to a single equation are compared. Many of the existent cointegration tests are simply extensions of the unit root tests applied to the residuals of the cointegrating regression and the habitual $H_{0}$ is no cointegration. However, some non residual-based tests and some tests of the opposite null hypothesis have recently appeared in literature. Monte Carlo simulations have been used for the power comparison of the nine selected tests ($ADF$, $\hat{Z}_{\alpha }$, $\hat{Z}_{t}$, $DHS$, $J1$, $H1$, $H2$, $C$, $LBI$) using several types of data generating processes.
期刊介绍:
Applications of Mathematics publishes original high quality research papers that are directed towards applications of mathematical methods in various branches of science and engineering.
The main topics covered include:
- Mechanics of Solids;
- Fluid Mechanics;
- Electrical Engineering;
- Solutions of Differential and Integral Equations;
- Mathematical Physics;
- Optimization;
- Probability
Mathematical Statistics.
The journal is of interest to a wide audience of mathematicians, scientists and engineers concerned with the development of scientific computing, mathematical statistics and applicable mathematics in general.