The survival function NPMLE for combined right-censored and length-biased right-censored failure time data: properties and applications-Reference-Cited by-同舟云学术

The survival function NPMLE for combined right-censored and length-biased right-censored failure time data: properties and applications

Published:2024-04-10 Issue: Volume: Page:
ISSN:2194-573X
Container-title:The International Journal of Biostatistics
language:en
Short-container-title:

Author:

McVittie James H.¹,Wolfson David B.²,Stephens David A.²

Affiliation:

1. Department of Mathematics and Statistics , 6846 University of Regina , Regina , Saskatchewan , S4S 0A2 , Canada

2. Department of Mathematics and Statistics , 5620 McGill University , Montreal , QC , H3A 0G4 , Canada

Abstract

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.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/ijb-2023-0121/pdf

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