数学物理学报(英文版)

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WEAK UNCORRELATEDNESS OF RANDOM VARIABLES

Sofiya Ostrovska   

  1. Department of Mathematics, Atilim University, 06836 Incek, Ankara, TURKEY
  • 收稿日期:2002-03-29 修回日期:1900-01-01 出版日期:2006-04-20 发布日期:2006-04-20
  • 通讯作者: Sofiya Ostrovska

WEAK UNCORRELATEDNESS OF RANDOM VARIABLES

Sofiya Ostrovska   

  1. Department of Mathematics, Atilim University, 06836 Incek, Ankara, TURKEY
  • Received:2002-03-29 Revised:1900-01-01 Online:2006-04-20 Published:2006-04-20
  • Contact: Sofiya Ostrovska

摘要:

New measures of independence for n random variables, based on their moments, are studied. A scale of degrees of independence for random variables which starts with uncorrelatedness (for n=2) and finishes at independence is constructed. The scale provides a countable linearly ordered set of measures of independence.

关键词: Independence, uncorrelatedness, convolution, moments, characteristic function

Abstract:

New measures of independence for n random variables, based on their moments, are studied. A scale of degrees of independence for random variables which starts with uncorrelatedness (for n=2) and finishes at independence is constructed. The scale provides a countable linearly ordered set of measures of independence.

Key words: Independence, uncorrelatedness, convolution, moments, characteristic function

中图分类号: 

  • 60E05