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Monitoring Neuronal Survival via Longitudinal Fluorescence Microscopy
Published on: January 19, 2019
The survival function NPMLE for combined right-censored and length-biased right-censored failure time data:
James H McVittie1, David B Wolfson2, David A Stephens2
1Department of Mathematics and Statistics, 6846 University of Regina , Regina, Saskatchewan, S4S 0A2, Canada.
Abstract:
Many cohort studies in survival analysis have imbedded in them subcohorts consisting of incident cases and prevalent cases. Instead of analysing the data from the incident and prevalent cohorts alone, there are surely advantages to combining the data from these two subcohorts. In this paper, we discuss a survival function nonparametric maximum likelihood estimator (NPMLE) using both length-biased right-censored prevalent cohort data and right-censored incident cohort data. We establish the asymptotic properties of the survival function NPMLE and utilize the NPMLE to estimate the distribution for time spent in a Montreal area hospital.
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