International Journal of Mathematics and Mathematical Sciences 
Volume 16 (1993), Issue 3, Pages 515-518
doi:10.1155/S0161171293000638

A general notion of independence of sequences of integers

John R. Burke

 Department of Mathematics, Gonzaga University, Spokane 99258-0001, WA, USA
Received 4 February 1992; Revised 10 December 1992

Abstract

In this paper a notion of statistical independence of sequences of integers is developed. The results are generalizations of known results on independent sequences modm in the integers and more generally, independent sequences on compact sets. All that is assumed is that one has a countable partition of the integers indexed by an ordered set.