Title :
A class of statistical and spectral distance measures based on Bose-Einstein statistics
Author_Institution :
Lab. of Electromag. and Acoustics, Gent Univ., Belgium
fDate :
11/1/1993 12:00:00 AM
Abstract :
A class of statistical distance measures and their spectral counterparts are presented. They have strong physical foundations since they are based on the combinatorial law leading to Bose-Einstein statistics in statistical physics. It is shown that these distance measures are very closely related to the recently introduced Jensen-Shannon divergence measure. The Kullback-Leibler information (1951) number is found to be a limit case of this class
Keywords :
information theory; spectral analysis; statistical analysis; Bose-Einstein statistics; Jensen-Shannon divergence measure; Kullback-Leibler information number; combinatorial law; spectral distance measures; statistical distance measures; statistical physics; Covariance matrix; Density measurement; Entropy; Gaussian processes; Maxwell-Boltzmann distribution; Physics; Probability; Q measurement; Statistical analysis; Statistics;
Journal_Title :
Signal Processing, IEEE Transactions on