COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Probability > Uniform limit theorems for wavelet density estimators

## Uniform limit theorems for wavelet density estimatorsAdd to your list(s) Download to your calendar using vCal - Evarist Gine (University of Connecticut)
- Monday 20 October 2008, 14:00-15:30
- MR12, CMS, Wilberforce Road, Cambridge, CB3 0WB.
If you have a question about this talk, please contact rbg24. joint Statistics/Probability Seminar The linear wavelet density estimator of a bounded density f consists of a truncated wavelet expansion with the coefficients for the expansion of f replaced by their empirical counterparts. The optimal number of terms of the expansion, obtained by balancing bias and variance, depends on the degree of smoothness of f, typically unknown. Donoho-Johnstone-Kerkyacharian-Picard (1996) introduced the `hard thresholding’ wavelet density estimator -where part of the empirical coefficients are set equal to zero if they are smaller than a certain threshold- in order to obtain an estimator which is rate adaptive in L_p norm loss to the smoothness of f, up to a logarithmic factor. The sup-norm behavior of wavelet density estimators (thresholded or not) had not been considered before, and we use empirical process theory to close this gap, thus deriving optimal results first for the linear and then for the thresholded estimator. This is joint work with Richard Nickl. This talk is part of the Probability series. ## This talk is included in these lists:- All CMS events
- All Talks (aka the CURE list)
- CMS Events
- DPMMS Lists
- DPMMS info aggregator
- DPMMS lists
- Hanchen DaDaDash
- Interested Talks
- MR12, CMS, Wilberforce Road, Cambridge, CB3 0WB
- Probability
- School of Physical Sciences
- Statistical Laboratory info aggregator
- bld31
Note that ex-directory lists are not shown. |
## Other listsCambridge University Raja Yoga Meditation Society Cambridge University United Nations Association (CUUNA) Type the title of a new list here## Other talksProject Management Biopolymers for photonics - painting opals with water and light Access to Medicines Action Stations! CPGJ Reading Group "Space, Borders, Power" Diagnostics and patient pathways in pancreatic cancer |