Nonparametric Estimation of an Event-Free Survival Distribution Under Cross-Sectional Sampling

Jacobo de Uña-Álvarez ()
Additional contact information
Jacobo de Uña-Álvarez: University of Vigo, Department of Statistics and OR & CINBIO

Chapter Chapter 4 in From Statistics to Mathematical Finance, 2017, pp 57-67 from Springer

Abstract: Abstract In Survival Analysis and other fields, a target of much interest is the event-free survival, which evaluates along time the probability of surviving without undergoing a certain intermediate event (recurrence, infection, and so on). Under cross-sectional sampling, only individuals in progress (alive) at the cross-section date are recruited, thus the survival times are left-truncated by the recruitment times. In this setting, there exists much literature on nonparametric estimation of the total survival, focused on the product-limit estimator for left-truncated and possibly right-censored data. However, estimation of the event-free survival has not been investigated in much detail. In this work we review this problem and we introduce a new nonparametric estimator for the event-free survival, which overcomes some of the limitations of existing approaches. Asymptotic results are discussed. A comparative numerical study is conducted.

Keywords: Event-free Survival; Cross-sectional Sample; Product-limit Estimator; Numerous Comparative Studies; Intermediate Effect (search for similar items in EconPapers)
Date: 2017
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

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:spr:sprchp:978-3-319-50986-0_4

Ordering information: This item can be ordered from
http://www.springer.com/9783319509860

DOI: 10.1007/978-3-319-50986-0_4

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().