Abstract
We use the quantile residual lifetime models to analyze the length-biased data that are often encountered in observational studies. Ignoring sampling bias may lead to substantial estimation bias and fallacious inference. We consider a conditional log-linear regression model on the residual lifetimes at a fixed time point under right-censored and length-biased data for both covariate-independent censoring and covariate-dependent censoring. Consistency and asymptotically normalities of the regression estimators are established. Simmulation studies are performed to assess finite sample properties of the regression parameter estimator. Finally, we analyze the Oscar real data by the proposed method.
| Translated title of the contribution | Quantile Residual Regression with Length-Biased and Right-Censored Data |
|---|---|
| Original language | Chinese (Traditional) |
| Pages (from-to) | 1-18 |
| Number of pages | 18 |
| Journal | Acta Mathematica Sinica, Chinese Series |
| Volume | 63 |
| Issue number | 1 |
| State | Published - 15 Jan 2020 |