On the Limit Distribution of Multiplicative Functions with Values in the Interval $\lbrack -1, 1 \rbrack$
Jesus de la Cal
Source: Ann. Probab. Volume 18, Number 2
(1990), 901-904.
Abstract
The proof of the existence of a limit distribution for arithmetic multiplicative functions with values in the interval $\lbrack-1, 1\rbrack$, and characterizations of degenerateness and symmetry for such a distribution, can be obtained in a simple manner by combining the famous mean-value theorem of Wirsing with the method of moments of probability theory.
First Page:
Show
Hide
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.aop/1176990866
JSTOR: links.jstor.org
Digital Object Identifier: doi:10.1214/aop/1176990866
Mathematical Reviews number (MathSciNet): MR1055441
Zentralblatt MATH identifier: 0704.11023
