## The Annals of Probability

- Ann. Probab.
- Volume 7, Number 3 (1979), 526-531.

### A Local Limit Theorem for Large Deviations of Sums of Independent, Nonidentically Distributed Random Variables

#### Abstract

A local limit theorem is given for large deviations of sums of independent, nonidentically distributed, integer valued random variables.

#### Article information

**Source**

Ann. Probab., Volume 7, Number 3 (1979), 526-531.

**Dates**

First available in Project Euclid: 19 April 2007

**Permanent link to this document**

https://projecteuclid.org/euclid.aop/1176995052

**Digital Object Identifier**

doi:10.1214/aop/1176995052

**Mathematical Reviews number (MathSciNet)**

MR528328

**Zentralblatt MATH identifier**

0421.60026

**JSTOR**

links.jstor.org

**Subjects**

Primary: 60F10: Large deviations

Secondary: 60F05: Central limit and other weak theorems 60G50: Sums of independent random variables; random walks 60G99: None of the above, but in this section

**Keywords**

Local limits for large deviations

#### Citation

McDonald, David. A Local Limit Theorem for Large Deviations of Sums of Independent, Nonidentically Distributed Random Variables. Ann. Probab. 7 (1979), no. 3, 526--531. doi:10.1214/aop/1176995052. https://projecteuclid.org/euclid.aop/1176995052