Statistics Papers

Document Type

Journal Article

Date of this Version

8-15-1964

Publication Source

PNAS

Volume

52

Issue

2

Start Page

430

Last Page

433

Abstract

In this note we give a tractable necessary and sufficient condition for mutual singularity which is concerned only with the given covariance functions. The method of proof depends on a generalization, first obtained by Kraft, of a theorem of Kakutani. We give a somewhat more general version of Kraft's theorem together with a simpler proof.

Copyright/Permission Statement

Copyright 1964 National Academy of Sciences.

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Date Posted: 27 November 2017

This document has been peer reviewed.