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The sufficient conditions for the existence of the stationary solution and the finiteness of the moments of the model are derived. The parameters and the threshold value of the model are estimated using the quasi-maximum likelihood method. The results of Monte Carlo simulation method show that the method performs well. By applying this method to the Shanghai daily return and volatility series with the significant leverage effect, we find that the asymmetric model with general threshold better reflects the asymmetric fluctuation characteristics than the original model.<\/jats:p>","DOI":"10.3233\/jifs-179849","type":"journal-article","created":{"date-parts":[[2020,6,2]],"date-time":"2020-06-02T13:15:11Z","timestamp":1591103711000},"page":"7795-7801","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":1,"title":["A general threshold GARCH process with volatility asymmetry"],"prefix":"10.1177","volume":"38","author":[{"given":"Wei","family":"Wang","sequence":"first","affiliation":[{"name":"School of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou, China"},{"name":"School of Sciences, Zhejiang University of Science and Technology, Hangzhou, China"}]},{"given":"Guanghui","family":"Cai","sequence":"additional","affiliation":[{"name":"School of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou, China"}]},{"given":"Junjuan","family":"Hu","sequence":"additional","affiliation":[{"name":"School of Sciences, Zhejiang University of Science and Technology, Hangzhou, China"}]}],"member":"179","published-online":{"date-parts":[[2020,5,30]]},"reference":[{"key":"e_1_3_2_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/0304-405X(82)90018-6"},{"issue":"1","key":"e_1_3_2_3_2","first-page":"1","article-title":"Inference in TAR models","volume":"2","author":"Hansen B.E.","year":"1997","unstructured":"HansenB.E., Inference in TAR models, Studies in Nonlinear Dynamics &Econometrics2(1) (1997), 1\u20131.","journal-title":"Studies in Nonlinear Dynamics &Econometrics"},{"key":"e_1_3_2_4_2","unstructured":"GourierouxC. 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