Accession Number:

AD0701361

Title:

A BOUND ON THE CLASSIFICATION ERROR FOR DISCRIMINATING BETWEEN POPULATIONS WITH SPECIFIED MEANS AND VARIANCES.

Personal Author(s):

Corporate Author:

STANFORD UNIV CALIF DEPT OF STATISTICS

Report Date:

1970-01-05

Abstract:

Given two univariate distribution functions F sub 1 and F sub 2 with means and variances mu sub 1, mu sub 2, sigma sub 1 squared, sigma sub 2 squared, Becker1968, Recognition of Patterns, Polyteknisk Forlag, Copenhagen has proposed S absolute value of mu sub 1- mu sub 2sigma sub 1 sigma sub 2 as a measure of separability of F sub 1 and F sub 2. He has conjectured that of all pairs F sub 1, F sub 2 with specified means and variances, the worst pair using one-sided tests based on a single observation yields an error probability of 21 S squared exp -1 when F sub 1 and F sub 2 are equally likely. In this paper the conjecture is verified and a related conjecture is shown to apply equally well to the likelihood ratio test. Author

Descriptive Note:

Technical rept.,

Pages:

0015

Identifiers:

Contract Number:

Nonr-225(72)

File Size:

0.00MB

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