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
Gespeichert in:
| Autor*in: |
Graczyk, P. [verfasserIn] |
|---|
| Format: |
Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
2001 |
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| Schlagwörter: |
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| Anmerkung: |
© Plenum Publishing Corporation 2001 |
|---|
| Übergeordnetes Werk: |
Enthalten in: Ukrainian mathematical journal - Kluwer Academic Publishers-Plenum Publishers, 1967, 53(2001), 4 vom: Apr., Seite 499-506 |
|---|---|
| Übergeordnetes Werk: |
volume:53 ; year:2001 ; number:4 ; month:04 ; pages:499-506 |
| Links: |
|---|
| DOI / URN: |
10.1023/A:1012314302243 |
|---|
| Katalog-ID: |
OLC2054551481 |
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| 520 | |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. | ||
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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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Independent Linear Statistics on Finite Abelian Groups |
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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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Independent Linear Statistics on Finite Abelian Groups |
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Fel'dman, G. M. |
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10.1023/A:1012314302243 |
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