Accession Number:

AD0712031

Title:

INCOMPLETE PRIOR INFORMATION IN A CLASSIFICATION PROCEDURE.

Descriptive Note:

Technical rept.,

Corporate Author:

FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS

Personal Author(s):

• Randles,Ronald H.
• Hollander,Myles

Report Date:

1970-07-01

Pagination or Media Count:

22.0

Abstract:

The classification of specimens into one of N populations is considered when the observation on each specimen is a multivariate discrete random variable and when incomplete prior information is available concerning the occurrence of specimens from the various populations. The T-minimax decision criterion is applied and it is shown that an optimal classification procedure is the solution of a finite matrix game. The consistency of the T-minimax procedure is demonstrated when certain population probabilities are estmated by sample proportions. A medical example is considered. Author

Descriptors:

• (*MULTIVARIATE ANALYSIS
• POPULATION(MATHEMATICS))
• (*DIAGNOSIS(MEDICINE)
• DECISION THEORY)
• RANDOM VARIABLES
• MATRICES(MATHEMATICS)
• GAME THEORY
• PROBABILITY
• MATHEMATICAL MODELS

Subject Categories:

• Medicine and Medical Research
• Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE