The principal investigator will develop statistical theory and methods for categorical time series. Categorical time series arise in many scientific and engineering settings in which the observations can be classified by category (e.g. on or off) and not necessarily by a numerical scale. The principal investigator will employ the method of the Walsh-Fourier transform to investigate these time series. Specifically, the investigator will establish a broad theoretical basis for the application of Walsh-Fourier representation for real time stationary processes. Furthermore, he will develop sound methodologies for the scaling of categorical time series via the Walsh-Fourier transform. Scaling would allow the quantification of the categories and analysis of the data based on both time and frequency domain techniques.

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Type
Standard Grant (Standard)
Application #
9000522
Program Officer
Peter Arzberger
Project Start
Project End
Budget Start
1990-07-01
Budget End
1992-12-31
Support Year
Fiscal Year
1990
Total Cost
$38,015
Indirect Cost
Name
University of Pittsburgh
Department
Type
DUNS #
City
Pittsburgh
State
PA
Country
United States
Zip Code
15213