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Semiparametric regression analysis of doubly-censored data with applications to incubation period estimation

Kin Yau Wong, Qingning Zhou () and Tao Hu
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Kin Yau Wong: The Hong Kong Polytechnic University
Qingning Zhou: The University of North Carolina at Charlotte
Tao Hu: Capital Normal University

Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, 2023, vol. 29, issue 1, No 4, 87-114

Abstract: Abstract The incubation period is a key characteristic of an infectious disease. In the outbreak of a novel infectious disease, accurate evaluation of the incubation period distribution is critical for designing effective prevention and control measures . Estimation of the incubation period distribution based on limited information from retrospective inspection of infected cases is highly challenging due to censoring and truncation. In this paper, we consider a semiparametric regression model for the incubation period and propose a sieve maximum likelihood approach for estimation based on the symptom onset time, travel history, and basic demographics of reported cases. The approach properly accounts for the pandemic growth and selection bias in data collection. We also develop an efficient computation method and establish the asymptotic properties of the proposed estimators. We demonstrate the feasibility and advantages of the proposed methods through extensive simulation studies and provide an application to a dataset on the outbreak of COVID-19.

Keywords: COVID-19; Cox proportional hazards model; Sieve estimation; Survival analysis; Truncated data (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s10985-022-09567-3

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