Title :
Multiresolution analysis, wavelets, and probability density estimation
Author_Institution :
Dept. of Electr. & Comput. Eng., California Univ., San Diego, La Jolla, CA, USA
fDate :
27 Jun-1 Jul 1994
Abstract :
We consider the estimation of the probability density function f(x) of stationary mixing processes using wavelet orthonormal bases. For f belonging to the Sobolev space H2s, s>0 we derive precise asymptotic expressions for the integrated mean-square estimation error
Keywords :
estimation theory; probability; signal resolution; wavelet transforms; Sobolev space; integrated mean-square estimation error; multiresolution analysis; precise asymptotic expressions; probability density estimation; probability density function; stationary mixing processes; wavelet orthonormal bases; Convergence; Iron; Mathematics; Multiresolution analysis; Pattern recognition; Probability density function; Space stations; Upper bound; Wavelet analysis; Writing;
Conference_Titel :
Information Theory, 1994. Proceedings., 1994 IEEE International Symposium on
Conference_Location :
Trondheim
Print_ISBN :
0-7803-2015-8
DOI :
10.1109/ISIT.1994.394932
