TESTING FOR UNIFORMITY ON A COMPACT HOMOGENEOUS SPACE.

Abstract

This paper applies the invariance principle to the problem of testing a distribution on a compact homogeneous space for uniformity. The notion of using a reduction by invariance in such a situation is due to Ajne, who considers tests invariant under rotation on a circle. In his paper, he derives the distribution of the maximal invariant and gives the general form of the most powerful invariant test for uniformity on the circle. He proposes two simple test criteria. The present paper deals with an extension of some of these ideas to a compact homogeneous space.

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1967
Accession Number
AD0654464

Entities

People

  • R. J. Beran

Organizations

  • Johns Hopkins University

Tags

DTIC Thesaurus Topics

  • Angular Motion
  • Invariance
  • Mathematics
  • Rotation

Fields of Study

  • Mathematics

Readers

  • Human-Computer Interaction (HCI).
  • Mathematical Modeling and Probability Theory.
  • Statistical inference.

Technology Areas

  • Space
  • Space - Space Objects