A Further Remark Concerning the Distribution of the Ratio of the Mean Square Successive Difference to the Variance

Abstract

JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact support@jstor.org. Institute for Advanced Study2 1. Introduction. In our previous paper' it was found convenient to assume that the number m (of the variables of the quadratic form under consideration) is even. (Cf. p. 383, loc. cit.) This means that in the application to the mean square successive difference n = m + 1 must be odd. (Cf. p. 389, id.) In this note we shall show that the distribution for an odd m (i.e. an even n) can be expressed by means of the distribution for an even m-the latter being