A novel nonparametric mixture model for the detection pattern of COVID-19 on Diamond Princess cruise  

作　　者：Huijuan Ma Jing Qin Fang Chen Yong Zhou 

机构地区：[1]KLATASDS-MOE,School of Statistics and Academy of Statistics and Interdisciplinary Sciences,East China Normal University,Shanghai,People’s Republic of China [2]National Institute of Allergy and Infectious Diseases,National Institutes of Health,Bethesda,MD,USA [3]School of Statistics and Management,Shanghai University of Finance and Economics,Shanghai,People’s Republic of China

出　　处：《Statistical Theory and Related Fields》2023年第1期85-96,共12页统计理论及其应用（英文）

基　　金：the National Natural Science Foundation of China[grant numbers 71931004,11901200,71971083,and 11971170];the National Key R&D Program of China[grant numbers 2021YFA1000100,2021YFA1000101]。

摘　　要：The outbreak of COVID-19 on the Diamond Princess cruise ship has attracted much attention.Motivated by the PCR testing data on the Diamond Princess,we propose a novel cure mixture nonparametric model to investigate the detection pattern.It combines a logistic regression for the probability of susceptible subjects with a nonparametric distribution for the detection of infected individuals.Maximum likelihood estimators are proposed.The resulting estimators are shown to be consistent and asymptotically normal.Simulation studies demonstrate that the proposed approach is appropriate for practical use.Finally,we apply the proposed method to PCR testing data on the Diamond Princess to show its practical utility.

关 键 词：Cure model logistic regression maximum likelihood estimator MIXTURE 

分 类 号：O175[理学—数学]