## The Annals of Mathematical Statistics

- Ann. Math. Statist.
- Volume 30, Number 4 (1959), 1135-1140.

### On the Moments of the Trace of a Matrix and Approximations to its Distribution

K. C. S. Pillai and Tito A. Mijares

#### Abstract

The first four moments of the sum of $s$ non-null latent roots of a matrix occurring in multivariate analysis are studied. In particular, the first four moments of the sum of six roots are found, and are used to compare the upper percentage points obtained directly from the moment ratios with those from Pillai's approximate distribution.

#### Article information

**Source**

Ann. Math. Statist., Volume 30, Number 4 (1959), 1135-1140.

**Dates**

First available in Project Euclid: 27 April 2007

**Permanent link to this document**

https://projecteuclid.org/euclid.aoms/1177706097

**Digital Object Identifier**

doi:10.1214/aoms/1177706097

**Mathematical Reviews number (MathSciNet)**

MR108867

**Zentralblatt MATH identifier**

0225.62070

**JSTOR**

links.jstor.org

#### Citation

Pillai, K. C. S.; Mijares, Tito A. On the Moments of the Trace of a Matrix and Approximations to its Distribution. Ann. Math. Statist. 30 (1959), no. 4, 1135--1140. doi:10.1214/aoms/1177706097. https://projecteuclid.org/euclid.aoms/1177706097