Classical versions of q-gaussian processes:: Conditional moments and Bell's inequality

被引：10

作者：

Bryc, W ^{[1
]}

机构：

[1] Univ Cincinnati, Dept Math, Cincinnati, OH 45221 USA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2001年 / 219卷 / 02期

关键词：

Linear Regression; Covariance; Entire Range; Conditional Variance; Classical Version;

D O I：

10.1007/s002200100401

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show that classical processes corresponding to operators which satisfy a q-commutative relation have linear regressions and quadratic conditional variances. From this we deduce that Bell's inequality for their covariances can be extended from q = -1 to the entire range - 1 less than or equal to q < 1.

引用

页码：259 / 270

页数：12

共 21 条

[1] Classical Versions of q-Gaussian Processes:¶Conditional Moments and Bell's Inequality
Wlodzimierz Bryc
[J]. Communications in Mathematical Physics, 2001, 219 : 259 - 270
[2] q-Gaussian Processes: Non-commutative and Classical Aspects
M. Bożejko
B. Kümmerer
R. Speicher
[J]. Communications in Mathematical Physics, 1997, 185 : 129 - 154
[3] q-Gaussian processes: Non-commutative and classical aspects
Bozejko, M
Kummerer, B
Speicher, R
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1997, 185 (01) : 129 - 154
[4] THE LOCAL STRUCTURE OF q-GAUSSIAN PROCESSES
Bryc, Wlodzimierz
Wang, Yizao
[J]. PROBABILITY AND MATHEMATICAL STATISTICS-POLAND, 2016, 36 (02): : 335 - 352
[5] Conditional moments of q-Meixner processes
Bryc, W
Wesolowski, J
[J]. PROBABILITY THEORY AND RELATED FIELDS, 2005, 131 (03) : 415 - 441
[6] Conditional moments of q-Meixner processes
Włodzimierz Bryc
Jacek Wesołowski
[J]. Probability Theory and Related Fields, 2005, 131 : 415 - 441
[7] The various versions of Bell's inequality: an alternative proof
Fakhri, H
Taqavi, M
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2005, 38 (24): : 5565 - 5572
[8] PROBING BELL'S INEQUALITY WITH CLASSICAL SYSTEMS
Ferry, D. K.
[J]. FLUCTUATION AND NOISE LETTERS, 2010, 9 (04): : 395 - 402
[9] Violation of Bell's inequality by correlations of classical random signals
Khrennikov, A.
[J]. PHYSICA SCRIPTA, 2012, T151
[10] Experimental violation of Bell's inequality by local classical variables
Accardi, L
Regoli, M
[J]. STATISTICAL PHYSICS, 2000, 519 : 645 - 648

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