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 X-2. 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