Independent Linear Statistics on Finite Abelian Groups
Abstract We give a complete description of the class of all finite Abelian groups X for which the independence of linear statistics L1 = $ α_{1} $($ ξ_{1} $) + $ α_{2} $($ ξ_{2} $) + $ α_{3} $($ ξ_{3} $) and L2 = $ β_{1} $($ ξ_{1} $) + $ β_{2} $($ ξ_{2} $) + $ β_{3} $($ ξ_{3} $) (here, $ ξ_{j} $, j...
Ausführliche Beschreibung
Autor*in: |
Graczyk, P. [verfasserIn] |
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Format: |
Artikel |
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Sprache: |
Englisch |
Erschienen: |
2001 |
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Schlagwörter: |
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Anmerkung: |
© Plenum Publishing Corporation 2001 |
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Übergeordnetes Werk: |
Enthalten in: Ukrainian mathematical journal - Kluwer Academic Publishers-Plenum Publishers, 1967, 53(2001), 4 vom: Apr., Seite 499-506 |
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Übergeordnetes Werk: |
volume:53 ; year:2001 ; number:4 ; month:04 ; pages:499-506 |
Links: |
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DOI / URN: |
10.1023/A:1012314302243 |
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Katalog-ID: |
OLC2054551481 |
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10.1023/A:1012314302243 doi (DE-627)OLC2054551481 (DE-He213)A:1012314302243-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Graczyk, P. verfasserin aut Independent Linear Statistics on Finite Abelian Groups 2001 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 2001 Abstract We give a complete description of the class of all finite Abelian groups X for which the independence of linear statistics L1 = $ α_{1} $($ ξ_{1} $) + $ α_{2} $($ ξ_{2} $) + $ α_{3} $($ ξ_{3} $) and L2 = $ β_{1} $($ ξ_{1} $) + $ β_{2} $($ ξ_{2} $) + $ β_{3} $($ ξ_{3} $) (here, $ ξ_{j} $, j = 1, 2, 3, are independent random variables with values in X and distributions $ μ_{j} $; $ α_{j} $ and $ β_{j} $ are automorphisms of X) implies that either one, or two, or three of the distributions $ μ_{j} $ are idempotents. Abelian Group Independent Random Variable Linear Statistic Finite Abelian Group Independent Linear Fel'dman, G. M. aut Enthalten in Ukrainian mathematical journal Kluwer Academic Publishers-Plenum Publishers, 1967 53(2001), 4 vom: Apr., Seite 499-506 (DE-627)12993318X (DE-600)390019-8 (DE-576)015490556 0041-5995 nnns volume:53 year:2001 number:4 month:04 pages:499-506 https://doi.org/10.1023/A:1012314302243 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 GBV_ILN_2005 GBV_ILN_2088 AR 53 2001 4 04 499-506 |
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10.1023/A:1012314302243 doi (DE-627)OLC2054551481 (DE-He213)A:1012314302243-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Graczyk, P. verfasserin aut Independent Linear Statistics on Finite Abelian Groups 2001 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 2001 Abstract We give a complete description of the class of all finite Abelian groups X for which the independence of linear statistics L1 = $ α_{1} $($ ξ_{1} $) + $ α_{2} $($ ξ_{2} $) + $ α_{3} $($ ξ_{3} $) and L2 = $ β_{1} $($ ξ_{1} $) + $ β_{2} $($ ξ_{2} $) + $ β_{3} $($ ξ_{3} $) (here, $ ξ_{j} $, j = 1, 2, 3, are independent random variables with values in X and distributions $ μ_{j} $; $ α_{j} $ and $ β_{j} $ are automorphisms of X) implies that either one, or two, or three of the distributions $ μ_{j} $ are idempotents. Abelian Group Independent Random Variable Linear Statistic Finite Abelian Group Independent Linear Fel'dman, G. M. aut Enthalten in Ukrainian mathematical journal Kluwer Academic Publishers-Plenum Publishers, 1967 53(2001), 4 vom: Apr., Seite 499-506 (DE-627)12993318X (DE-600)390019-8 (DE-576)015490556 0041-5995 nnns volume:53 year:2001 number:4 month:04 pages:499-506 https://doi.org/10.1023/A:1012314302243 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 GBV_ILN_2005 GBV_ILN_2088 AR 53 2001 4 04 499-506 |
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10.1023/A:1012314302243 doi (DE-627)OLC2054551481 (DE-He213)A:1012314302243-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Graczyk, P. verfasserin aut Independent Linear Statistics on Finite Abelian Groups 2001 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 2001 Abstract We give a complete description of the class of all finite Abelian groups X for which the independence of linear statistics L1 = $ α_{1} $($ ξ_{1} $) + $ α_{2} $($ ξ_{2} $) + $ α_{3} $($ ξ_{3} $) and L2 = $ β_{1} $($ ξ_{1} $) + $ β_{2} $($ ξ_{2} $) + $ β_{3} $($ ξ_{3} $) (here, $ ξ_{j} $, j = 1, 2, 3, are independent random variables with values in X and distributions $ μ_{j} $; $ α_{j} $ and $ β_{j} $ are automorphisms of X) implies that either one, or two, or three of the distributions $ μ_{j} $ are idempotents. Abelian Group Independent Random Variable Linear Statistic Finite Abelian Group Independent Linear Fel'dman, G. M. aut Enthalten in Ukrainian mathematical journal Kluwer Academic Publishers-Plenum Publishers, 1967 53(2001), 4 vom: Apr., Seite 499-506 (DE-627)12993318X (DE-600)390019-8 (DE-576)015490556 0041-5995 nnns volume:53 year:2001 number:4 month:04 pages:499-506 https://doi.org/10.1023/A:1012314302243 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 GBV_ILN_2005 GBV_ILN_2088 AR 53 2001 4 04 499-506 |
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10.1023/A:1012314302243 doi (DE-627)OLC2054551481 (DE-He213)A:1012314302243-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Graczyk, P. verfasserin aut Independent Linear Statistics on Finite Abelian Groups 2001 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 2001 Abstract We give a complete description of the class of all finite Abelian groups X for which the independence of linear statistics L1 = $ α_{1} $($ ξ_{1} $) + $ α_{2} $($ ξ_{2} $) + $ α_{3} $($ ξ_{3} $) and L2 = $ β_{1} $($ ξ_{1} $) + $ β_{2} $($ ξ_{2} $) + $ β_{3} $($ ξ_{3} $) (here, $ ξ_{j} $, j = 1, 2, 3, are independent random variables with values in X and distributions $ μ_{j} $; $ α_{j} $ and $ β_{j} $ are automorphisms of X) implies that either one, or two, or three of the distributions $ μ_{j} $ are idempotents. Abelian Group Independent Random Variable Linear Statistic Finite Abelian Group Independent Linear Fel'dman, G. M. aut Enthalten in Ukrainian mathematical journal Kluwer Academic Publishers-Plenum Publishers, 1967 53(2001), 4 vom: Apr., Seite 499-506 (DE-627)12993318X (DE-600)390019-8 (DE-576)015490556 0041-5995 nnns volume:53 year:2001 number:4 month:04 pages:499-506 https://doi.org/10.1023/A:1012314302243 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 GBV_ILN_2005 GBV_ILN_2088 AR 53 2001 4 04 499-506 |
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10.1023/A:1012314302243 doi (DE-627)OLC2054551481 (DE-He213)A:1012314302243-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Graczyk, P. verfasserin aut Independent Linear Statistics on Finite Abelian Groups 2001 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 2001 Abstract We give a complete description of the class of all finite Abelian groups X for which the independence of linear statistics L1 = $ α_{1} $($ ξ_{1} $) + $ α_{2} $($ ξ_{2} $) + $ α_{3} $($ ξ_{3} $) and L2 = $ β_{1} $($ ξ_{1} $) + $ β_{2} $($ ξ_{2} $) + $ β_{3} $($ ξ_{3} $) (here, $ ξ_{j} $, j = 1, 2, 3, are independent random variables with values in X and distributions $ μ_{j} $; $ α_{j} $ and $ β_{j} $ are automorphisms of X) implies that either one, or two, or three of the distributions $ μ_{j} $ are idempotents. Abelian Group Independent Random Variable Linear Statistic Finite Abelian Group Independent Linear Fel'dman, G. M. aut Enthalten in Ukrainian mathematical journal Kluwer Academic Publishers-Plenum Publishers, 1967 53(2001), 4 vom: Apr., Seite 499-506 (DE-627)12993318X (DE-600)390019-8 (DE-576)015490556 0041-5995 nnns volume:53 year:2001 number:4 month:04 pages:499-506 https://doi.org/10.1023/A:1012314302243 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 GBV_ILN_2005 GBV_ILN_2088 AR 53 2001 4 04 499-506 |
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Abstract We give a complete description of the class of all finite Abelian groups X for which the independence of linear statistics L1 = $ α_{1} $($ ξ_{1} $) + $ α_{2} $($ ξ_{2} $) + $ α_{3} $($ ξ_{3} $) and L2 = $ β_{1} $($ ξ_{1} $) + $ β_{2} $($ ξ_{2} $) + $ β_{3} $($ ξ_{3} $) (here, $ ξ_{j} $, j = 1, 2, 3, are independent random variables with values in X and distributions $ μ_{j} $; $ α_{j} $ and $ β_{j} $ are automorphisms of X) implies that either one, or two, or three of the distributions $ μ_{j} $ are idempotents. © Plenum Publishing Corporation 2001 |
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Abstract We give a complete description of the class of all finite Abelian groups X for which the independence of linear statistics L1 = $ α_{1} $($ ξ_{1} $) + $ α_{2} $($ ξ_{2} $) + $ α_{3} $($ ξ_{3} $) and L2 = $ β_{1} $($ ξ_{1} $) + $ β_{2} $($ ξ_{2} $) + $ β_{3} $($ ξ_{3} $) (here, $ ξ_{j} $, j = 1, 2, 3, are independent random variables with values in X and distributions $ μ_{j} $; $ α_{j} $ and $ β_{j} $ are automorphisms of X) implies that either one, or two, or three of the distributions $ μ_{j} $ are idempotents. © Plenum Publishing Corporation 2001 |
abstract_unstemmed |
Abstract We give a complete description of the class of all finite Abelian groups X for which the independence of linear statistics L1 = $ α_{1} $($ ξ_{1} $) + $ α_{2} $($ ξ_{2} $) + $ α_{3} $($ ξ_{3} $) and L2 = $ β_{1} $($ ξ_{1} $) + $ β_{2} $($ ξ_{2} $) + $ β_{3} $($ ξ_{3} $) (here, $ ξ_{j} $, j = 1, 2, 3, are independent random variables with values in X and distributions $ μ_{j} $; $ α_{j} $ and $ β_{j} $ are automorphisms of X) implies that either one, or two, or three of the distributions $ μ_{j} $ are idempotents. © Plenum Publishing Corporation 2001 |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2054551481</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230504065444.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200819s2001 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1023/A:1012314302243</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2054551481</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)A:1012314302243-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">17,1</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Graczyk, P.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Independent Linear Statistics on Finite Abelian Groups</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2001</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Plenum Publishing Corporation 2001</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract We give a complete description of the class of all finite Abelian groups X for which the independence of linear statistics L1 = $ α_{1} $($ ξ_{1} $) + $ α_{2} $($ ξ_{2} $) + $ α_{3} $($ ξ_{3} $) and L2 = $ β_{1} $($ ξ_{1} $) + $ β_{2} $($ ξ_{2} $) + $ β_{3} $($ ξ_{3} $) (here, $ ξ_{j} $, j = 1, 2, 3, are independent random variables with values in X and distributions $ μ_{j} $; $ α_{j} $ and $ β_{j} $ are automorphisms of X) implies that either one, or two, or three of the distributions $ μ_{j} $ are idempotents.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Abelian Group</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Independent Random Variable</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Linear Statistic</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Finite Abelian Group</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Independent Linear</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Fel'dman, G. M.</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Ukrainian mathematical journal</subfield><subfield code="d">Kluwer Academic Publishers-Plenum Publishers, 1967</subfield><subfield code="g">53(2001), 4 vom: Apr., Seite 499-506</subfield><subfield code="w">(DE-627)12993318X</subfield><subfield code="w">(DE-600)390019-8</subfield><subfield code="w">(DE-576)015490556</subfield><subfield code="x">0041-5995</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:53</subfield><subfield code="g">year:2001</subfield><subfield code="g">number:4</subfield><subfield code="g">month:04</subfield><subfield code="g">pages:499-506</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1023/A:1012314302243</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_40</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2005</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2088</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">53</subfield><subfield code="j">2001</subfield><subfield code="e">4</subfield><subfield code="c">04</subfield><subfield code="h">499-506</subfield></datafield></record></collection>
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