Sieve estimates for biased survival data
| dc.creator | Sun, Jiayang | |
| dc.creator | Wang, Bin | |
| dc.date | 2006-11-23 | |
| dc.date.accessioned | 2026-07-07T08:08:26Z | |
| dc.date.available | 2026-07-07T08:08:26Z | |
| dc.description | In studies involving lifetimes, observed survival times are frequently censored and possibly subject to biased sampling. In this paper, we model survival times under biased sampling (a.k.a., biased survival data) by a semi-parametric model, in which the selection function $w(t)$ (that leads to the biased sampling) is specified up to an unknown finite dimensional parameter $θ$, while the density function $f(t)$ of the survival times is assumed only to be smooth. Under this model, two estimators are derived to estimate the density function $f$, and a pseudo maximum likelihood estimation procedure is developed to estimate $θ$. The identifiability of the estimation problem is discussed and the performance of the new estimators is illustrated via both simulation studies and a real data application. | |
| dc.description | Published at http://dx.doi.org/10.1214/074921706000000644 in the IMS Lecture Notes--Monograph Series (http://www.imstat.org/publications/lecnotes.htm) by the Institute of Mathematical Statistics (http://www.imstat.org) | |
| dc.identifier | https://arxiv.org/abs/math/0611725 | |
| dc.identifier | http://arxiv.org/abs/math/0611725 | |
| dc.identifier | IMS Lecture Notes--Monograph Series 2006, Vol. 50, 127-143 | |
| dc.identifier | doi:10.1214/074921706000000644 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/131266 | |
| dc.subject | Statistics Theory | |
| dc.subject | S62N01, 62D05 (Primary) 62G07 (Secondary) | |
| dc.title | Sieve estimates for biased survival data | |
| dc.type | text |