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A Strong Limit Theorem for Functions of Continuous Random Variables and an Extension of the Shannon-McMillan Theorem
Joint Authors
Chen, Shuang
Li, Gaorong
Feng, Sanying
Source
Journal of Applied Mathematics
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2008-05-11
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
By means of the notion of likelihood ratio, the limit properties of the sequences of arbitrary-dependent continuous random variables are studied, and a kind of strong limit theorems represented by inequalities with random bounds for functions of continuous random variables is established.
The Shannon-McMillan theorem is extended to the case of arbitrary continuous information sources.
In the proof, an analytic technique, the tools of Laplace transform, and moment generating functions to study the strong limit theorems are applied.
American Psychological Association (APA)
Li, Gaorong& Chen, Shuang& Feng, Sanying. 2008. A Strong Limit Theorem for Functions of Continuous Random Variables and an Extension of the Shannon-McMillan Theorem. Journal of Applied Mathematics،Vol. 2008, no. 2008, pp.1-10.
https://search.emarefa.net/detail/BIM-487301
Modern Language Association (MLA)
Li, Gaorong…[et al.]. A Strong Limit Theorem for Functions of Continuous Random Variables and an Extension of the Shannon-McMillan Theorem. Journal of Applied Mathematics No. 2008 (2008), pp.1-10.
https://search.emarefa.net/detail/BIM-487301
American Medical Association (AMA)
Li, Gaorong& Chen, Shuang& Feng, Sanying. A Strong Limit Theorem for Functions of Continuous Random Variables and an Extension of the Shannon-McMillan Theorem. Journal of Applied Mathematics. 2008. Vol. 2008, no. 2008, pp.1-10.
https://search.emarefa.net/detail/BIM-487301
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-487301