## The Annals of Mathematical Statistics

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

Howard L. Jones

#### 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

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