Sub-Independence: An Expository Perspective

Document Type

Article

Language

eng

Format of Original

4 p.

Publication Date

2012

Publisher

Taylor & Francis

Source Publication

Communications in Statistics: Theory and Methods

Source ISSN

0361-0926

Original Item ID

doi: 10.1080/03610926.2011.620214

Abstract

Limit theorems as well as other well-known results in probability and statistics are often based on the distribution of the sums of independent random variables. The concept of sub-independence, which is much weaker than that of independence, is shown to be sufficient to yield the conclusions of these theorems and results. It also provides a measure of dissociation between two random variables which is much stronger than uncorrelatedness.

Comments

Communications in Statistics: Theory and Methods, Vol. 42, No. 20 (2013): 3615-3638. DOI.

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