## The Annals of Mathematical Statistics

- Ann. Math. Statist.
- Volume 37, Number 6 (1966), 1825-1828.

### A Multivariate Central Limit Theorem for Random Linear Vector Forms

#### Abstract

In [2] a central limit theorem [CLT] for sequences of univariate random linear forms was proved. That result is extended in this note to a multivariate CLT for $q$-dimensional linear forms of constant $q$-vectors with real-valued random weight coefficients. Some applications are indicated in Section 3.

#### Article information

**Source**

Ann. Math. Statist., Volume 37, Number 6 (1966), 1825-1828.

**Dates**

First available in Project Euclid: 27 April 2007

**Permanent link to this document**

https://projecteuclid.org/euclid.aoms/1177699175

**Digital Object Identifier**

doi:10.1214/aoms/1177699175

**Mathematical Reviews number (MathSciNet)**

MR202175

**Zentralblatt MATH identifier**

0168.16903

**JSTOR**

links.jstor.org

#### Citation

Eicker, F. A Multivariate Central Limit Theorem for Random Linear Vector Forms. Ann. Math. Statist. 37 (1966), no. 6, 1825--1828. doi:10.1214/aoms/1177699175. https://projecteuclid.org/euclid.aoms/1177699175