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
fDate :
5/1/1996 12:00:00 AM
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;
Journal_Title :
Signal Processing, IEEE Transactions on
