Non-parametric Estimation of Information-theoretic Quantities in Entropic Perspective

Search for this publication on Google Scholar
Zhang, J. (2019). Non-parametric Estimation of Information-theoretic Quantities in Entropic Perspective. Unc Charlotte Electronic Theses And Dissertations.
Download PDF

Analytics

42 views ◎
21 downloads ⇓


Abstract

Introduced by Shannon, mutual information is a fundamental brick of information theory for its essential role in measuring association on non-ordinal alphabets. Mutual information being zero is a golden property as it indicates a probabilistic independent between the distributions. This article oers asymptotic chi-square dis tributions for the plug-in estimator and a non-parametric estimator of mutual information. The established distributions allow new tests of independence in entropic perspective.

Details
Author

Zhang, Jialin

Title

Non-parametric Estimation of Information-theoretic Quantities in Entropic Perspective

Physical Description

1 online resource (42 pages) : PDF

Date

2019

Degree Granting Institution

University of North Carolina at Charlotte

Abstract

Introduced by Shannon, mutual information is a fundamental brick of information theory for its essential role in measuring association on non-ordinal alphabets. Mutual information being zero is a golden property as it indicates a probabilistic independent between the distributions. This article oers asymptotic chi-square dis tributions for the plug-in estimator and a non-parametric estimator of mutual information. The established distributions allow new tests of independence in entropic perspective.

Genre

doctoral dissertations

Subjects--Topics

Statistics

Degree

Ph.D.

Subject Area

Mathematics

Advisor(s)

Zhang, Zhiyi

Degree Note

Thesis (Ph.D.)--University of North Carolina at Charlotte, 2019.

Rights Statement

This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). For additional information, see http://rightsstatements.org/page/InC/1.0/.

Rights Holder Information

Copyright is held by the author unless otherwise indicated.

Identifier

Zhang_uncc_0694D_12082

Permalink

http://hdl.handle.net/20.500.13093/etd:2493