Title :
Efficient frequency domain univariate Parzen approximation and applications
Author :
Esterhuizen, G. ; Du Preez, JA
Author_Institution :
Stellenbosch Univ., South Africa
Abstract :
This paper introduces a frequency domain approximation to the univariate Parzen probability density function estimator. It is applied to construct an efficient semi-parametric density function estimator and density function distance measure that operates directly from sample data. The complexity of the techniques are constant with respect to the number of data samples and only depends on a pre-determined factor controlling the accuracy.
Keywords :
approximation theory; frequency-domain analysis; parameter estimation; probability; signal sampling; Parzen probability density function estimator; data samples; density function distance measure; efficient frequency domain Parzen approximation; lossy data compression; nonparametric PDF estimators; sample data; semi-parametric density function estimator; time convolution; univariate Parzen approximation; Africa; Data visualization; Density functional theory; Density measurement; Fourier transforms; Frequency domain analysis; Frequency estimation; Limiting; Pattern recognition; Probability density function;
Conference_Titel :
Africon Conference in Africa, 2002. IEEE AFRICON. 6th
Print_ISBN :
0-7803-7570-X
DOI :
10.1109/AFRCON.2002.1146850