## The Annals of Mathematical Statistics

- Ann. Math. Statist.
- Volume 32, Number 3 (1961), 888-893.

### Percentage Points and Modes of Order Statistics from the Normal Distribution

#### Abstract

This paper deals with the order statistics from the normal distribution. Equations are obtained for the percentage points and the modal values of the $k$th order statistic in a sample of size $n$. Table I gives some percentage points for selected values of $k$ and $n$. In Table II the modal values of the largest order statistic are given. Appropriate symmetry relations which enable one to obtain certain missing values in Tables I and II are mentioned.

#### Article information

**Source**

Ann. Math. Statist. Volume 32, Number 3 (1961), 888-893.

**Dates**

First available in Project Euclid: 27 April 2007

**Permanent link to this document**

https://projecteuclid.org/euclid.aoms/1177704982

**Digital Object Identifier**

doi:10.1214/aoms/1177704982

**Mathematical Reviews number (MathSciNet)**

MR125703

**Zentralblatt MATH identifier**

0100.14503

**JSTOR**

links.jstor.org

#### Citation

Gupta, Shanti S. Percentage Points and Modes of Order Statistics from the Normal Distribution. Ann. Math. Statist. 32 (1961), no. 3, 888--893. doi:10.1214/aoms/1177704982. https://projecteuclid.org/euclid.aoms/1177704982