EconPapers    
Economics at your fingertips  
 

Problems arising from jackknifing the estimate of a Kaplan-Meier integral

Pao-Sheng Shen

Statistics & Probability Letters, 1998, vol. 40, issue 4, 353-361

Abstract: Stute and Wang (1994) considered the problem of estimating the integral S[theta] = [integral operator] [theta] dF, based on a possibly censored sample from a distribution F, where [theta] is an F-integrable function. They proposed a Kaplan-Meier integral to approximate S[theta] and derived an explicit formula for the delete-1 jackknife estimate . differs from only when the largest observation, X(n), is not censored ([delta](n) = 1 and next-to-the-largest observation, X(n-1), is censored ([delta](n-1) = 0). In this note, it will pointed out that when X(n) is censored is based on a defective distribution, and therefore can badly underestimate . We derive an explicit formula for the delete-2 jackknife estimate . However, on comparing the expressions of and , their difference is negligible. To improve the performance of and , we propose a modified estimator according to Efron (1980). Simulation results demonstrate that is much less biased than and and .

Keywords: Jackknife; Kaplan-Meier; estimators; Censored; data (search for similar items in EconPapers)
Date: 1998
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0167-7152(98)00135-7
Full text for ScienceDirect subscribers only

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:eee:stapro:v:40:y:1998:i:4:p:353-361

Ordering information: This journal article can be ordered from
http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01

Access Statistics for this article

Statistics & Probability Letters is currently edited by Somnath Datta and Hira L. Koul

More articles in Statistics & Probability Letters from Elsevier
Bibliographic data for series maintained by Catherine Liu ().

 
Page updated 2025-03-19
Handle: RePEc:eee:stapro:v:40:y:1998:i:4:p:353-361