{"title":"协整向量自回归模型的调整系数与精确理性期望","authors":"Søren Johansen, Anders Rygh Swensen","doi":"10.1111/jtsa.12705","DOIUrl":null,"url":null,"abstract":"<p>In this article, we consider the cointegrated vector autoregressive model with adjustment parameters <math>\n <semantics>\n <mrow>\n <mi>α</mi>\n </mrow>\n <annotation>$$ \\alpha $$</annotation>\n </semantics></math> and cointegration vectors <math>\n <semantics>\n <mrow>\n <mi>β</mi>\n </mrow>\n <annotation>$$ \\beta $$</annotation>\n </semantics></math>. We discuss estimation of the model under the exact linear rational expectations, when we also have linear restrictions on the adjustment parameters <math>\n <semantics>\n <mrow>\n <mi>α</mi>\n </mrow>\n <annotation>$$ \\alpha $$</annotation>\n </semantics></math>. In particular we consider the same restriction on all vectors in <math>\n <semantics>\n <mrow>\n <mi>α</mi>\n </mrow>\n <annotation>$$ \\alpha $$</annotation>\n </semantics></math> and the hypothesis that some vectors in <math>\n <semantics>\n <mrow>\n <mi>α</mi>\n </mrow>\n <annotation>$$ \\alpha $$</annotation>\n </semantics></math> are known.</p>","PeriodicalId":49973,"journal":{"name":"Journal of Time Series Analysis","volume":"45 2","pages":"248-268"},"PeriodicalIF":1.2000,"publicationDate":"2023-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1111/jtsa.12705","citationCount":"0","resultStr":"{\"title\":\"Adjustment coefficients and exact rational expectations in cointegrated vector autoregressive models\",\"authors\":\"Søren Johansen, Anders Rygh Swensen\",\"doi\":\"10.1111/jtsa.12705\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>In this article, we consider the cointegrated vector autoregressive model with adjustment parameters <math>\\n <semantics>\\n <mrow>\\n <mi>α</mi>\\n </mrow>\\n <annotation>$$ \\\\alpha $$</annotation>\\n </semantics></math> and cointegration vectors <math>\\n <semantics>\\n <mrow>\\n <mi>β</mi>\\n </mrow>\\n <annotation>$$ \\\\beta $$</annotation>\\n </semantics></math>. We discuss estimation of the model under the exact linear rational expectations, when we also have linear restrictions on the adjustment parameters <math>\\n <semantics>\\n <mrow>\\n <mi>α</mi>\\n </mrow>\\n <annotation>$$ \\\\alpha $$</annotation>\\n </semantics></math>. In particular we consider the same restriction on all vectors in <math>\\n <semantics>\\n <mrow>\\n <mi>α</mi>\\n </mrow>\\n <annotation>$$ \\\\alpha $$</annotation>\\n </semantics></math> and the hypothesis that some vectors in <math>\\n <semantics>\\n <mrow>\\n <mi>α</mi>\\n </mrow>\\n <annotation>$$ \\\\alpha $$</annotation>\\n </semantics></math> are known.</p>\",\"PeriodicalId\":49973,\"journal\":{\"name\":\"Journal of Time Series Analysis\",\"volume\":\"45 2\",\"pages\":\"248-268\"},\"PeriodicalIF\":1.2000,\"publicationDate\":\"2023-07-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://onlinelibrary.wiley.com/doi/epdf/10.1111/jtsa.12705\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Time Series Analysis\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1111/jtsa.12705\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Time Series Analysis","FirstCategoryId":"100","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1111/jtsa.12705","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
Adjustment coefficients and exact rational expectations in cointegrated vector autoregressive models
In this article, we consider the cointegrated vector autoregressive model with adjustment parameters and cointegration vectors . We discuss estimation of the model under the exact linear rational expectations, when we also have linear restrictions on the adjustment parameters . In particular we consider the same restriction on all vectors in and the hypothesis that some vectors in are known.
期刊介绍:
During the last 30 years Time Series Analysis has become one of the most important and widely used branches of Mathematical Statistics. Its fields of application range from neurophysiology to astrophysics and it covers such well-known areas as economic forecasting, study of biological data, control systems, signal processing and communications and vibrations engineering.
The Journal of Time Series Analysis started in 1980, has since become the leading journal in its field, publishing papers on both fundamental theory and applications, as well as review papers dealing with recent advances in major areas of the subject and short communications on theoretical developments. The editorial board consists of many of the world''s leading experts in Time Series Analysis.