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

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)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1970
Accession Number
AD0710755

Entities

People

  • Prem S. Puri

Organizations

  • Purdue University

Tags

DTIC Thesaurus Topics

  • California
  • Cooperation
  • Efficiency
  • Homogeneity
  • Observation
  • Supernovae

Fields of Study

  • Physics

Readers

  • Astronomy/Astrophysics
  • Materials Science and Engineering.
  • Mathematical Modeling and Probability Theory.