Life table estimator revisited

Authors

• Sergey V. Malov, Saint Petersburg State University
• Stephen J. O’Brien, Saint Petersburg State UniversityFollow

Document Type

Article

Publication Title

Communications in Statistics - Theory and Methods

ISSN

1532415X

Publication Date

5-3-2018

Keywords

Independent censoring, Kaplan–Meier estimator, Life table estimator, Right censoring, Survival data

Abstract

We explore the standard life table (actuarial) estimator for grouped right-censored survival data and its extensions in order to consider its relationship with the Kaplan–Meier estimator, and to investigate the critical properties of the extended life table estimators (ELTEs). We discuss certain conditions for the ELTE to be consistent and develop a characterization of the standard life table estimator using the consistency property under any choice of at least two observation times of a finite interval. We also perform a comparative analysis of the ELTEs with the corresponding maximum likelihood estimators for grouped right-censored survival data.

DOI

10.1080/03610926.2017.1335418

Volume

47

Issue

9

First Page

2126

Last Page

2133

NSUWorks Citation

Malov, Sergey V. and Stephen J. O’Brien. 2018. "Life table estimator revisited." Communications in Statistics - Theory and Methods 47, (9): 2126-2133. doi:10.1080/03610926.2017.1335418.