Accession Number : AD0676859

Title :   THE DISTRIBUTION OF Z GAMMA AND Z* WHEN THE DISTRIBUTION OF THE COMPLEX VARIABLE Z IS A MEMBER OF A PARTICULAR FAMILY OF DISTRIBUTIONS.

Descriptive Note : Technical rept.,

Corporate Author : VIRGINIA POLYTECHNIC INST BLACKSBURG

Personal Author(s) : Brock,Archie D. ; Krutchkoff,Richard G.

Report Date : 01 JUL 1968

Pagination or Media Count : 243

Abstract : An eight parameter family of densities is introduced which contains several of the well-known density functions as particular cases. We reserve the functions f and g to denote this family, or one of its particular cases, in the r-theta plane and x-y plane, respectively. We will show that if the distribution of Z is determined by the eight parameter family, then the distributions of Z superscript gamma and Z* (the complex conjugate of Z) are also determined by the eight parameter family. We then obtain estimators and some properties of these estimators for some particular cases of the family. (Author)

Descriptors :   (*STATISTICAL DISTRIBUTIONS, DECISION THEORY), PROBABILITY DENSITY FUNCTIONS, INTEGRAL TRANSFORMS, COMPLEX VARIABLES, INFORMATION THEORY, THEOREMS

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE