## The Annals of Mathematical Statistics

- Ann. Math. Statist.
- Volume 19, Number 3 (1948), 340-350.

### Limiting Distribution of a Root of a Determinantal Equation

#### Abstract

The exact distribution of a root of a determinantal equation when the roots are arranged in a monotonic order was obtained by S. N. Roy [3] in 1943. A different method for deriving the distribution of any one of these roots has been described by the author in [2]. In the present paper the limiting forms of these distributions are obtained. This paper gives a method by which the limiting distributions can be obtained without undergoing an inordinate amount of mathematical labor.

#### Article information

**Source**

Ann. Math. Statist., Volume 19, Number 3 (1948), 340-350.

**Dates**

First available in Project Euclid: 28 April 2007

**Permanent link to this document**

https://projecteuclid.org/euclid.aoms/1177730198

**Digital Object Identifier**

doi:10.1214/aoms/1177730198

**Mathematical Reviews number (MathSciNet)**

MR26298

**Zentralblatt MATH identifier**

0035.21601

**JSTOR**

links.jstor.org

#### Citation

Nanda, D. N. Limiting Distribution of a Root of a Determinantal Equation. Ann. Math. Statist. 19 (1948), no. 3, 340--350. doi:10.1214/aoms/1177730198. https://projecteuclid.org/euclid.aoms/1177730198