Abstract
The local behavior of oscillation modulus of the product-limit (PL) process and the cumulative hazard process is investigated when the data are subjected to random censoring. Laws of the iterated logarithm of local oscillation modulus for the PL-process and the cumulative hazard process are established. Some of these results are applied to obtain the almost sure best rates of convergence for various types of density estimators as well as the Bahadur-Kiefer type process.
| Original language | English |
|---|---|
| Pages (from-to) | X-237 |
| Journal | Science in China, Series A: Mathematics |
| Volume | 42 |
| Issue number | 3 |
| State | Published - Mar 1999 |
| Externally published | Yes |
Keywords
- Censorship
- Cumulative hazard process
- Law of the iterated logarithm (LIL)
- Oscillation modulus
- Product-limit process