## The Annals of Mathematical Statistics

### Properties of Polykays of Deviates

P. S. Dwyer

#### Abstract

The purpose of this paper is to present formulae and to examine fundamental properties of polykays of deviates which are here called $d$-statistics. In particular, formulae for $d$-statistics in terms of polykays having no unit subscripts are presented, relations involving the $d$-statistics are derived, and application is made to finite moment formulae involving the sample mean.

#### Article information

Source
Ann. Math. Statist., Volume 35, Number 3 (1964), 1167-1173.

Dates
First available in Project Euclid: 27 April 2007

https://projecteuclid.org/euclid.aoms/1177703274

Digital Object Identifier
doi:10.1214/aoms/1177703274

Mathematical Reviews number (MathSciNet)
MR165631

Zentralblatt MATH identifier
0124.11202

JSTOR