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The economy of China has been affected by the COVID-19 and it is necessary to measure and investigate it. The mode regression model and its data deletion model using skew-normal distribution are established via the industry sub-index data of Shanghai Stock Exchange. Statistical diagnosis method of the model is proposed by using Pena distance diagnosis statistics, and the unknown parameters are estimated by the EM algorithm facilitated by gradient descent (GDEM) method. The results show that the outliers are accurately identified by the proposed statistical diagnostic method, and parameter estimation results indicate that the contribution of all industries to economy during the COVID-19 is lower than before, among which industry and commerce are the hardest hit.

journal of physics. conference series

Statistical measure researches for the impacts of COVID-19 on Shanghai Securities Composite Index: based on mode regression model using skew-normal distribution