Accession Number : AD0710755

Title :   LOSS DUE TO MISSING DATA IN EFFICIENCY OF A LOCALLY OPTIMAL TEST FOR HOMOGENEITY WITH RESPECT TO VERY RARE EVENTS.

Descriptive Note : Technical rept.,

Corporate Author : PURDUE UNIV LAFAYETTE IND DEPT OF STATISTICS

Personal Author(s) : Puri,Prem S.

Report Date : AUG 1970

Pagination or Media Count : 20

Abstract : With reference to observations of supernovae in galaxies, a locally optimal test for the hypothesis of homogeneity of the observational units with respect to occurrence of supernovae (treated as a very rare event) is obtained for the case where the data are available only for those galaxies where at least one supernova is observed. It is shown that the loss in the asymptotic efficiency of the test due to lack of reporting of galaxies with no supernovae is very heavy and in fact is infinite for the case of very rare events. (Author)

Descriptors :   (*STATISTICAL TESTS, EFFICIENCY), (*SUPERNOVAE, STATISTICAL DATA), STATISTICAL DISTRIBUTIONS, EXPONENTIAL FUNCTIONS, PROBABILITY, THEOREMS

Subject Categories : Astrophysics
      Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE