Versik processes and very weak bernoulli processes with summable rates are independent

Herold Dehling; Manfred Denker; Walter Philipp

doi:10.1090/S0002-9939-1984-0746101-0

Versik processes and very weak bernoulli processes with summable rates are independent

Herold Dehling, Manfred Denker, Walter Philipp

Mathematics

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5 Scopus citations

Abstract

We show that very weak Bernoulli processes and Versik processes having dependence rates o(1//n) are independent or 2-dependent respectively. The borderline case where the rate is O(1/n) is discussed in some detail.

Original language	English (US)
Pages (from-to)	618-624
Number of pages	7
Journal	Proceedings of the American Mathematical Society
Volume	91
Issue number	4
DOIs	https://doi.org/10.1090/S0002-9939-1984-0746101-0
State	Published - Aug 1984

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9939-1984-0746101-0

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title = "Versik processes and very weak bernoulli processes with summable rates are independent",

abstract = "We show that very weak Bernoulli processes and Versik processes having dependence rates o(1//n) are independent or 2-dependent respectively. The borderline case where the rate is O(1/n) is discussed in some detail.",

author = "Herold Dehling and Manfred Denker and Walter Philipp",

year = "1984",

month = aug,

doi = "10.1090/S0002-9939-1984-0746101-0",

language = "English (US)",

volume = "91",

pages = "618--624",

journal = "Proceedings of the American Mathematical Society",

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T1 - Versik processes and very weak bernoulli processes with summable rates are independent

AU - Dehling, Herold

AU - Denker, Manfred

AU - Philipp, Walter

PY - 1984/8

Y1 - 1984/8

N2 - We show that very weak Bernoulli processes and Versik processes having dependence rates o(1//n) are independent or 2-dependent respectively. The borderline case where the rate is O(1/n) is discussed in some detail.

AB - We show that very weak Bernoulli processes and Versik processes having dependence rates o(1//n) are independent or 2-dependent respectively. The borderline case where the rate is O(1/n) is discussed in some detail.

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U2 - 10.1090/S0002-9939-1984-0746101-0

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AN - SCOPUS:84968466716

SN - 0002-9939

VL - 91

SP - 618

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 4

ER -

Versik processes and very weak bernoulli processes with summable rates are independent

Abstract

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