
Accession Number : AD0646047
Title : A GEOMETRICAL APPROACH TO THE SPECIAL STABLE DISTRIBUTIONS.
Descriptive Note : Technical rept.,
Corporate Author : YALE UNIV NEW HAVEN CONN DEPT OF STATISTICS
Personal Author(s) : Savage,L. J.
Report Date : NOV 1966
Pagination or Media Count : 9
Abstract : If X and Y are independent and normal about 0, possibly with different variances, then Z = XY/(X2 + Y2)1/2 is also normally distributed about 0. This is known and known to be tantamount to the stability of the distribution of X2. The present paper reduces the distribution of Z to a very elementary fact of plane geometry and shows geometrically that it also implies the stability of the Cauchy distribution. (Author)
Descriptors : (*GEOMETRY, *STATISTICAL DISTRIBUTIONS), DISTRIBUTION THEORY, PROBABILITY
Subject Categories : Statistics and Probability
Distribution Statement : APPROVED FOR PUBLIC RELEASE