characterization of probability distributions;
idempotent distributions;
finite Abelian groups;
D O I:
10.1007/s11202-005-0033-y
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
By the classical Skitovich-Darmois Theorem the independence of two linear forms of independent random variables characterizes a Gaussian distribution. A result close to the Skitovich-Darmois Theorem was proved by Heyde, with the condition of the independence of linear forms replaced by the symmetry of the conditional distribution of one linear form given the other. The present article is devoted to an analog of Heyde's Theorem in the case when random variables take values in a finite Abelian group and the coefficients of the linear forms are group automorphisms.
机构:
Dept. Combinatorics and Optimization, University of Waterloo, Waterloo, Ont. N2L 3G1, CanadaDept. Combinatorics and Optimization, University of Waterloo, Waterloo, Ont. N2L 3G1, Canada
Cheung, Kevin K. H.
Mosca, Michele
论文数: 0引用数: 0
h-index: 0
机构:
Dept. Combinatorics and Optimization, University of Waterloo, Waterloo, Ont. N2L 3G1, CanadaDept. Combinatorics and Optimization, University of Waterloo, Waterloo, Ont. N2L 3G1, Canada
Mosca, Michele
Quantum Information and Computation,
2001,
1
(03):
: 26
-
32