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 : JUL 1970

Pagination or Media Count : 22

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