## The Annals of Mathematical Statistics

- Ann. Math. Statist.
- Volume 19, Number 2 (1948), 270-273.

### Exact Lower Moments of Order Statistics in Small Samples from a Normal Distribution

#### Abstract

Exact means in samples of size $\geq 3$, and exact second moments and product-moments in samples of size $\leq 4$, are given in Table 1 in terms of $\pi$ for order statistics selected from the normal distribution $N(0, 1)$. The derivation employs multiple integration and some general properties of the moments.

#### Article information

**Source**

Ann. Math. Statist., Volume 19, Number 2 (1948), 270-273.

**Dates**

First available in Project Euclid: 28 April 2007

**Permanent link to this document**

https://projecteuclid.org/euclid.aoms/1177730253

**Digital Object Identifier**

doi:10.1214/aoms/1177730253

**Mathematical Reviews number (MathSciNet)**

MR25121

**Zentralblatt MATH identifier**

0031.37104

**JSTOR**

links.jstor.org

#### Citation

Jones, Howard L. Exact Lower Moments of Order Statistics in Small Samples from a Normal Distribution. Ann. Math. Statist. 19 (1948), no. 2, 270--273. doi:10.1214/aoms/1177730253. https://projecteuclid.org/euclid.aoms/1177730253