Discrimination procedures, small sample performance.
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Authors
Eaton, Thomas E.
Subjects
Advisors
Date of Issue
1963
Date
Publisher
Monterey, CA; Naval Postgraduate School
Language
en_US
Abstract
The general two population discrimination problem is
discussed briefly under various situations,, Discrimination
procedures using the linear discriminant function and a
nonparametric procedure due to Ju L Hodges and Ee Fix. which
classifies a random variable to a population on the basis of
assigning it to the population which has the nearest observation
to an observed value of the random variable are
discussed and compared by computing the probabilities of
misclassifieation for both procedures when the two populations
are normal with equal covariance matrices e Probabilities
of misclassifieation are computed for the
nonparametric discriminator and the linear discriminant
function for two small sample sizes for the case when the
two populations being discriminated are exponential,, In
this latter case, both discrimination procedures are shown
to give high probabilities of misclassifieation for certain
values of the parameters of the distribution being discriminated.
Regions are given in terms of the parameters of the
two exponential distributions where one of the probabilities
of error is greater than 0„5> o A more complete investigation
for larger sample sizes is recommended for the linear discriminant
function and the nonparametric procedure discussed
in this paper for the case when the two populations
being discriminated are exponential.
Type
Thesis
Description
Series/Report No
Department
Department of Mathematics and Mechanics
Organization
Naval Postgraduate School (U.S.)
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NPS Report Number
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Distribution Statement
Approved for public release; distribution is unlimited.
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.