Abstract
Functionals in geometric probability are often expressed as sums of bounded functions exhibiting exponential stabilization. Methods based on cumulant techniques and exponential modifications of measures show that such functionals satisfy moderate deviation principles. This leads to moderate deviation principles and laws of the iterated logarithm for random packing models as well as for statistics associated with germ-grain models and k nearest neighbor graphs.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 422-446 |
| Number of pages | 25 |
| Journal | Annales de l'institut Henri Poincare (B) Probability and Statistics |
| Volume | 44 |
| Issue number | 3 |
| DOIs | |
| State | Published - Jun 2008 |
| Externally published | Yes |
Keywords
- Laws of the iterated logarithm
- Moderate deviations
- Random Euclidean graphs
- Random sequential packing
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty