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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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1993-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171293000638 |
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| _version_ | 1832567214961590272 |
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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 |
| id | doaj-art-134cdef9973b4658b7c5538cc152a440 |
| 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 |