Abstract
We use the mean residual lifetime function to analyze the length biased data with right censorship. When the truncated time satisfies the stationarity assumption, the left truncated and right censored data turns to be the length-biased data and has special property. In order to improve the efficiency of the estimators, we use the combining estimating equation method that incorporates the additional information about length-biased sampling scheme to do the inference. The simulation shows that the combining estimating equation method performs better than the naive method which regards length-biased data as the left truncated data.
| Translated title of the contribution | The Estimation for the Proportional Mean Residual Lifetime Function Using Length-biased Survival Data |
|---|---|
| Original language | Chinese (Traditional) |
| Pages (from-to) | 865-880 |
| Number of pages | 16 |
| Journal | Acta Mathematica Sinica, Chinese Series |
| Volume | 61 |
| Issue number | 5 |
| State | Published - 1 Sep 2018 |
| Externally published | Yes |