DocumentCode
974949
Title
On the use of asymptotics in detection and estimation
Author
Garth, Lee M. ; Bresler, Yoram
Author_Institution
Dept. of Electr. & Comput. Eng., Illinois Univ., Urbana, IL, USA
Volume
44
Issue
5
fYear
1996
fDate
5/1/1996 12:00:00 AM
Firstpage
1304
Lastpage
1307
Abstract
We illustrate the importance of a finite dimensionality assumption when using functions of asymptotic statistics. We also note that asymptotic distributions need to converge uniformly to facilitate algebraic manipulations. Finally, we point to subtleties in using detection statistics stemming from the central limit theorem and Taylor series without entering the large deviations regime
Keywords
convergence of numerical methods; estimation theory; series (mathematics); signal detection; statistical analysis; symbol manipulation; Taylor series; algebraic manipulations; asymptotic distributions; asymptotic statistics; central limit theorem; detection statistics; estimation; finite dimensionality; Change detection algorithms; Detectors; Discrete Fourier transforms; Limiting; Random variables; Signal processing; Signal processing algorithms; Statistical distributions; Statistics; Taylor series;
fLanguage
English
Journal_Title
Signal Processing, IEEE Transactions on
Publisher
ieee
ISSN
1053-587X
Type
jour
DOI
10.1109/78.502350
Filename
502350
Link To Document