## The Annals of Mathematical Statistics

### The Asymptotic Distribution of the Range of Sums of Independent Random Variables

William Feller

#### Abstract

The asymptotic distribution of the range and normalized range of the sum of $n$ independent variables is derived using the theory of Brownian motion.

#### Article information

Source
Ann. Math. Statist., Volume 22, Number 3 (1951), 427-432.

Dates
First available in Project Euclid: 28 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aoms/1177729589

Digital Object Identifier
doi:10.1214/aoms/1177729589

Mathematical Reviews number (MathSciNet)
MR42626

Zentralblatt MATH identifier
0043.34201

JSTOR