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Probability in the Engineering and Informational Sciences
Article . 1998 . Peer-reviewed
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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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Bounds on Data Compression Ratio with a Given Tolerable Error Probability

Bounds on data compression ratio with a given tolerable error probability
descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 1998 English Publisher:Cambridge University Press (CUP)Journal:Probability in the Engineering and Informational Sciences, volume 12, pages 189-210 (issn: 0269-9648, eissn: 1469-8951, Copyright policy )
Authors: Sadeh, Ilan;

doi: 10.1017/s0269964800005143

Bounds on Data Compression Ratio with a Given Tolerable Error Probability

Abstract

The paper treats data compression from the viewpoint of probability theory where a certain error probability is tolerable. We obtain bounds for the minimal rate given an error probability for blockcoding of general stationary ergodic sources. An application of the theory of large deviations provides numerical methods to compute for memoryless sources, the minimal compression rate given a tolerable error probability. Interesting connections between Cramer's functions and Shannon's theory for lossy coding are found.

Keywords

Shannon's theory, Cramer's functions, Source coding, Error probability in coding theory, Rate-distortion theory in information and communication theory, large deviations, Large deviations, compression rate, Coding theorems (Shannon theory), bounds, error probability, data compression

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selected citations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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