The quality of training sample estimates of the Bhattacharyyacoefficient
Djouadi, A.
Snorrason, O.
Garber, F.D.
Dept. of Electr. Eng., Ohio State Univ., Columbus, OH;
This paper appears in: Pattern Analysis and Machine Intelligence, IEEE Transactions on
Publication Date: Jan 1990
Volume: 12,
Issue: 1
On page(s): 92-97
ISSN: 0162-8828
References Cited: 15
CODEN: ITPIDJ
INSPEC Accession Number: 3606844
Digital Object Identifier: 10.1109/34.41388
Current Version Published: 2002-08-06
Abstract
The quality, in terms of the bias and variance, of estimates of
the Bhattacharyya coefficient based on n training samples from
two classes described by multivariate Gaussian distributions is
considered. The case where the classes are described by a common
covariance matrix, as well as the case where each class is described by
a different covariance matrix, is analyzed. Expressions for the bias and
the variance of estimates of the Bhattacharyya coefficient are derived,
and numerical examples are used to show the relationship between these
parameters, the number of training samples, and the dimensionality of
the observation space
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