{"title":"状态切换模型的不稳定性","authors":"Pu Chen, Chih-ying Hsiao, W. Semmler","doi":"10.2139/ssrn.3788501","DOIUrl":null,"url":null,"abstract":"Abstract In this paper, we look at the instability of a self-exciting regime-switching autoregressive model, specifically regime-switching models that are locally stable in each of their regimes. It turns out that the local stability of each regime is insufficient to ensure the overall stability of the model. The instability’s mechanism is described, and a sufficient condition for the instability is provided.","PeriodicalId":46709,"journal":{"name":"Studies in Nonlinear Dynamics and Econometrics","volume":"26 1","pages":"655 - 674"},"PeriodicalIF":0.7000,"publicationDate":"2021-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Instability in regime switching models\",\"authors\":\"Pu Chen, Chih-ying Hsiao, W. Semmler\",\"doi\":\"10.2139/ssrn.3788501\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract In this paper, we look at the instability of a self-exciting regime-switching autoregressive model, specifically regime-switching models that are locally stable in each of their regimes. It turns out that the local stability of each regime is insufficient to ensure the overall stability of the model. The instability’s mechanism is described, and a sufficient condition for the instability is provided.\",\"PeriodicalId\":46709,\"journal\":{\"name\":\"Studies in Nonlinear Dynamics and Econometrics\",\"volume\":\"26 1\",\"pages\":\"655 - 674\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2021-02-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Studies in Nonlinear Dynamics and Econometrics\",\"FirstCategoryId\":\"96\",\"ListUrlMain\":\"https://doi.org/10.2139/ssrn.3788501\",\"RegionNum\":4,\"RegionCategory\":\"经济学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"ECONOMICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Studies in Nonlinear Dynamics and Econometrics","FirstCategoryId":"96","ListUrlMain":"https://doi.org/10.2139/ssrn.3788501","RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ECONOMICS","Score":null,"Total":0}
Abstract In this paper, we look at the instability of a self-exciting regime-switching autoregressive model, specifically regime-switching models that are locally stable in each of their regimes. It turns out that the local stability of each regime is insufficient to ensure the overall stability of the model. The instability’s mechanism is described, and a sufficient condition for the instability is provided.
期刊介绍:
Studies in Nonlinear Dynamics & Econometrics (SNDE) recognizes that advances in statistics and dynamical systems theory may increase our understanding of economic and financial markets. The journal seeks both theoretical and applied papers that characterize and motivate nonlinear phenomena. Researchers are required to assist replication of empirical results by providing copies of data and programs online. Algorithms and rapid communications are also published.