{"title":"非高斯条件下爆炸性气泡的测试","authors":"Hao Feng","doi":"10.1016/j.econlet.2023.111391","DOIUrl":null,"url":null,"abstract":"<div><p>This paper considers the problem of testing explosive bubbles under non-Gaussian conditions, which are quite common in financial data. Based on the generalized sup augmented Dickey-Fuller (<span><math><mrow><mi>G</mi><mi>S</mi><mi>A</mi><mi>D</mi><mi>F</mi></mrow></math></span>) initiated by Phillips et al. (2015a), we propose a quantile-based version named <span><math><mrow><mi>Q</mi><mi>G</mi><mi>S</mi><mi>A</mi><mi>D</mi><mi>F</mi></mrow></math></span>. The asymptotic distribution of the proposed test is derived and the simulations show that the new test obtains significant power gains under the premise of controlling size distortion under non-Gaussian conditions. The application to commodity futures prices suggests that <span><math><mrow><mi>Q</mi><mi>G</mi><mi>S</mi><mi>A</mi><mi>D</mi><mi>F</mi></mrow></math></span> provides stronger evidential support for bubble behavior than the <span><math><mrow><mi>G</mi><mi>S</mi><mi>A</mi><mi>D</mi><mi>F</mi></mrow></math></span> test.</p></div>","PeriodicalId":11468,"journal":{"name":"Economics Letters","volume":"233 ","pages":"Article 111391"},"PeriodicalIF":2.1000,"publicationDate":"2023-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Testing for explosive bubbles in the presence of non-Gaussian conditions\",\"authors\":\"Hao Feng\",\"doi\":\"10.1016/j.econlet.2023.111391\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This paper considers the problem of testing explosive bubbles under non-Gaussian conditions, which are quite common in financial data. Based on the generalized sup augmented Dickey-Fuller (<span><math><mrow><mi>G</mi><mi>S</mi><mi>A</mi><mi>D</mi><mi>F</mi></mrow></math></span>) initiated by Phillips et al. (2015a), we propose a quantile-based version named <span><math><mrow><mi>Q</mi><mi>G</mi><mi>S</mi><mi>A</mi><mi>D</mi><mi>F</mi></mrow></math></span>. The asymptotic distribution of the proposed test is derived and the simulations show that the new test obtains significant power gains under the premise of controlling size distortion under non-Gaussian conditions. The application to commodity futures prices suggests that <span><math><mrow><mi>Q</mi><mi>G</mi><mi>S</mi><mi>A</mi><mi>D</mi><mi>F</mi></mrow></math></span> provides stronger evidential support for bubble behavior than the <span><math><mrow><mi>G</mi><mi>S</mi><mi>A</mi><mi>D</mi><mi>F</mi></mrow></math></span> test.</p></div>\",\"PeriodicalId\":11468,\"journal\":{\"name\":\"Economics Letters\",\"volume\":\"233 \",\"pages\":\"Article 111391\"},\"PeriodicalIF\":2.1000,\"publicationDate\":\"2023-10-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Economics Letters\",\"FirstCategoryId\":\"96\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0165176523004172\",\"RegionNum\":4,\"RegionCategory\":\"经济学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"ECONOMICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Economics Letters","FirstCategoryId":"96","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0165176523004172","RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ECONOMICS","Score":null,"Total":0}
Testing for explosive bubbles in the presence of non-Gaussian conditions
This paper considers the problem of testing explosive bubbles under non-Gaussian conditions, which are quite common in financial data. Based on the generalized sup augmented Dickey-Fuller () initiated by Phillips et al. (2015a), we propose a quantile-based version named . The asymptotic distribution of the proposed test is derived and the simulations show that the new test obtains significant power gains under the premise of controlling size distortion under non-Gaussian conditions. The application to commodity futures prices suggests that provides stronger evidential support for bubble behavior than the test.
期刊介绍:
Many economists today are concerned by the proliferation of journals and the concomitant labyrinth of research to be conquered in order to reach the specific information they require. To combat this tendency, Economics Letters has been conceived and designed outside the realm of the traditional economics journal. As a Letters Journal, it consists of concise communications (letters) that provide a means of rapid and efficient dissemination of new results, models and methods in all fields of economic research.