## The Annals of Probability

### Speeds of Convergence for the Multidimensional Central Limit Theorem

T. J. Sweeting

#### Abstract

Speeds of convergence to normality for sums of independent and identically distributed random vectors in $\mathbb{R}^k, k \geqq 1$, are investigated using the method of operators. Results obtained improve and extend existing results on speeds of convergence for the expectations of both bounded and certain unbounded Borel measurable functions, and nonuniform convergence rates.

#### Article information

Source
Ann. Probab., Volume 5, Number 1 (1977), 28-41.

Dates
First available in Project Euclid: 19 April 2007

https://projecteuclid.org/euclid.aop/1176995888

Digital Object Identifier
doi:10.1214/aop/1176995888

Mathematical Reviews number (MathSciNet)
MR428400

Zentralblatt MATH identifier
0362.60041

JSTOR