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

McVittie James H. (), Wolfson David B. () and Stephens David A. ()
Additional contact information
McVittie James H.: Department of Mathematics and Statistics, 6846 University of Regina , Regina, Saskatchewan, S4S 0A2, Canada
Wolfson David B.: Department of Mathematics and Statistics, 5620 McGill University , Montreal, QC, H3A 0G4, Canada
Stephens David A.: Department of Mathematics and Statistics, 5620 McGill University , Montreal, QC, H3A 0G4, Canada

The International Journal of Biostatistics, 2024, vol. 20, issue 2, 531-551

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.

Keywords: censoring; cohort; length-bias; nonparametric; survival; truncation (search for similar items in EconPapers)
Date: 2024
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1515/ijb-2023-0121 (text/html)
For access to full text, subscription to the journal or payment for the individual article is required.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:bpj:ijbist:v:20:y:2024:i:2:p:531-551:n:1018

Ordering information: This journal article can be ordered from
https://www.degruyter.com/journal/key/ijb/html

DOI: 10.1515/ijb-2023-0121

Access Statistics for this article

The International Journal of Biostatistics is currently edited by Antoine Chambaz, Alan E. Hubbard and Mark J. van der Laan

More articles in The International Journal of Biostatistics from De Gruyter
Bibliographic data for series maintained by Peter Golla ().