This is the program for the 2010 Joint Statistical Meetings in Vancouver, British Columbia.
Abstract Details
Activity Number:
|
87
|
Type:
|
Contributed
|
Date/Time:
|
Sunday, August 1, 2010 : 4:00 PM to 5:50 PM
|
Sponsor:
|
Section on Nonparametric Statistics
|
Abstract - #306483 |
Title:
|
Integral Curve Estimation: Methodology and Applications to Diffusion Tensor Imaging
|
Author(s):
|
Lyudmila Sakhanenko*+
|
Companies:
|
Michigan State University
|
Address:
|
Wells Hall, Dept. of Stat & Probab, East Lansing, MI, 48824,
|
Keywords:
|
Diffusion Tensor Imaging ;
kernel regression estimator ;
functional central limit theorem ;
integral curves ;
vector fields
|
Abstract:
|
A vector field is observed at random locations with additive noise. The corresponding integral curve is to be estimated based on the data. First, we will introduce and study an estimation procedure. We will show asymptotical normality of the estimated integral curve. Second, we will obtain lower bounds for the functions of deviations between true and estimated integral curves. We will show that our estimation procedure yields estimates, which have the optimal rate of convergence in minimax sense. Third, we will discuss generalizations of the model. The problems of this nature arise in diffusion tensor imaging, a modern brain imaging technique that combines MRI with measurements of the diffusion tensor at discrete locations in the cerebral white matter. The integral curves are used to model axonal fibers in brain. In medical research it is important to estimate and map these fibers.
|
The address information is for the authors that have a + after their name.
Authors who are presenting talks have a * after their name.
Back to the full JSM 2010 program
|
2010 JSM Online Program Home
For information, contact jsm@amstat.org or phone (888) 231-3473.
If you have questions about the Continuing Education program, please contact the Education Department.