Weighted empirical likelihood in some two-sample semiparametric models with various types of censored data
| dc.creator | Ren, Jian-Jian | |
| dc.date | 2008-03-12 | |
| dc.date.accessioned | 2026-07-07T12:17:34Z | |
| dc.date.available | 2026-07-07T12:17:34Z | |
| dc.description | In this article, the weighted empirical likelihood is applied to a general setting of two-sample semiparametric models, which includes biased sampling models and case-control logistic regression models as special cases. For various types of censored data, such as right censored data, doubly censored data, interval censored data and partly interval-censored data, the weighted empirical likelihood-based semiparametric maximum likelihood estimator $(\tildeθ_n,\tilde{F}_n)$ for the underlying parameter $θ_0$ and distribution $F_0$ is derived, and the strong consistency of $(\tildeθ_n,\tilde{F}_n)$ and the asymptotic normality of $\tildeθ_n$ are established. Under biased sampling models, the weighted empirical log-likelihood ratio is shown to have an asymptotic scaled chi-squared distribution for censored data aforementioned. For right censored data, doubly censored data and partly interval-censored data, it is shown that $\sqrt{n}(\tilde{F}_n-F_0)$ weakly converges to a centered Gaussian process, which leads to a consistent goodness-of-fit test for the case-control logistic regression models. | |
| dc.description | Published in at http://dx.doi.org/10.1214/009053607000000695 the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org) | |
| dc.identifier | https://arxiv.org/abs/0803.1752 | |
| dc.identifier | http://arxiv.org/abs/0803.1752 | |
| dc.identifier | Annals of Statistics 2008, Vol. 36, No. 1, 147-166 | |
| dc.identifier | doi:10.1214/009053607000000695 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/212122 | |
| dc.subject | Statistics Theory | |
| dc.subject | 62N02, 62N03, 62N01 (Primary) | |
| dc.title | Weighted empirical likelihood in some two-sample semiparametric models with various types of censored data | |
| dc.type | text |