A general notion of independence of sequences of integers

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 partitio...

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Main Author: John R. Burke
Format: Article
Language:English
Published: Wiley 1993-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171293000638
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author John R. Burke
author_facet John R. Burke
author_sort John R. Burke
collection DOAJ
description 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.
format Article
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 1993-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-134cdef9973b4658b7c5538cc152a4402025-02-03T01:02:04ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251993-01-0116351551810.1155/S0161171293000638A general notion of independence of sequences of integersJohn R. Burke0Department of Mathematics, Gonzaga University, Spokane 99258-0001, WA, USAIn 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.http://dx.doi.org/10.1155/S0161171293000638independence modmuniform distribution modm.
spellingShingle John R. Burke
A general notion of independence of sequences of integers
International Journal of Mathematics and Mathematical Sciences
independence modm
uniform distribution modm.
title A general notion of independence of sequences of integers
title_full A general notion of independence of sequences of integers
title_fullStr A general notion of independence of sequences of integers
title_full_unstemmed A general notion of independence of sequences of integers
title_short A general notion of independence of sequences of integers
title_sort general notion of independence of sequences of integers
topic independence modm
uniform distribution modm.
url http://dx.doi.org/10.1155/S0161171293000638
work_keys_str_mv AT johnrburke ageneralnotionofindependenceofsequencesofintegers
AT johnrburke generalnotionofindependenceofsequencesofintegers