On analogues of C.R.Rao's theorems for locally compact Abelian groups

G. M. Feldman

Let ${\xi }_1$, ${\xi }_2$, ${\xi }_3$ be independent random variables with nonvanishing characteristic functions, and $a_j$, $b_j$ be real numbers such that $a_i/b_i\ne a_j/b_j$ for $i\ne j$. Le…