## The Annals of Mathematical Statistics

- Ann. Math. Statist.
- Volume 43, Number 2 (1972), 508-515.

### A Note on Asymptotic Joint Normality

#### Abstract

The concept of asymptotic normality takes on some new aspects when the dimensionality of the vector random variable under consideration is allowed to increase indefinitely. A necessary and sufficient condition for joint asymptotic normality in a new (strong) sense, in the case of independence, is given.

#### Article information

**Source**

Ann. Math. Statist. Volume 43, Number 2 (1972), 508-515.

**Dates**

First available in Project Euclid: 27 April 2007

**Permanent link to this document**

https://projecteuclid.org/euclid.aoms/1177692631

**Digital Object Identifier**

doi:10.1214/aoms/1177692631

**Mathematical Reviews number (MathSciNet)**

MR298812

**Zentralblatt MATH identifier**

0238.60017

**JSTOR**

links.jstor.org

#### Citation

Mallows, C. L. A Note on Asymptotic Joint Normality. Ann. Math. Statist. 43 (1972), no. 2, 508--515. doi:10.1214/aoms/1177692631. https://projecteuclid.org/euclid.aoms/1177692631.