Nonparametric function estimation is the representation of "noisy" data by a satisfactory smooth function without having to make restrictive assumptions about the function beforehand. The solution lies between artistically connecting all the data points and inadvertently smoothing out salient features of the data. This research will investigate possible definitions of the appropriate balance point between these extremes. Since many functions which differ only slightly may all appear to be satisfactory, definitions of boundaries for "satisfactory function" will also be sought. In addition, corrective techniques will be devised for technical problems with estimation using data near the boundaries of the observable (observed) values.

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Application #
9024879
Program Officer
Alan Izenman
Project Start
Project End
Budget Start
1991-06-01
Budget End
1993-08-31
Support Year
Fiscal Year
1990
Total Cost
$59,400
Indirect Cost
Name
Texas A&M Research Foundation
Department
Type
DUNS #
City
College Station
State
TX
Country
United States
Zip Code
77845