Sub-Independence: An Expository Perspective

Authors

Gholamhossein Hamedani, Marquette UniversityFollow

Document Type

Article

Language

eng

Format of Original

24 p.

Publication Date

9-2013

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

Accepted version. Communications in Statistics - Theory and Methods, Vol. 42, No. 20 (September 2013): 3615-3638. DOI. © 2013 Taylor & Francis. Used with permission.

Recommended Citation

Hamedani, Gholamhossein, "Sub-Independence: An Expository Perspective" (2013). Mathematics, Statistics and Computer Science Faculty Research and Publications. 165.
https://epublications.marquette.edu/mscs_fac/165