Abstract
We obtain a relation between the time between two bird-catchings and the total resting period of a bird, leading to the problem of estimating the derivative of a convex density. We state a fundamental result on the nonparametric maximum likelihood estimator of a convex density. Further, we derive the optimal rate in the minimax risk sense for estimating the derivative of a convex density.
| Original language | English |
|---|---|
| Pages (from-to) | 245-257 |
| Journal | Statistica Neerlandica |
| Volume | 57 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2003 |
Subject classification (UKÄ)
- Probability Theory and Statistics
Free keywords
- bird watching
- NPMLE
- nonparametric maximum likelihood
- convex
- density estimation
- optimal rate
- minimax risk