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Second Order Analysis of Data Compression Algorithms  (Make Corrections)  
John Kieffer



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Abstract: In the first order analysis of a lossless data compression algorithm, one addresses the following question: For n consecutive data samples generated by a stationary source, is the difference between the expected codeword length and the entropy equal to o(n)? If the answer is yes, one can attempt a second order analysis of the algorithm, which consists in determining how fast this difference goes to zero when divided by n. In this expository talk, we survey old and new results concerning the... (Update)

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BibTeX entry:   (Update)

@misc{ kieffer-second,
  author = "John Kieffer",
  title = "Second Order Analysis of Data Compression Algorithms",
  url = "citeseer.ist.psu.edu/370131.html" }
Citations (may not include all citations):
293   Compression of individual sequences via variable-rate coding - Ziv, Lempel - 1978
46   Universal noiseless coding (context) - Davisson - 1973
41   The performance of universal encoding (context) - Krichevsky, Trofimov - 1981
22   the average redundancy rate of the Lempel-Ziv code - Louchard, Spankowski - 1997
13   Upper bounds on the probability of sequences emitted by fini.. (context) - Plotnik, Weinberger et al. - 1992
8   Improved redundancy of a version of the Lempel-Ziv algorithm - Wyner, Wyner - 1995
1   Universal redundancy rates don't exist (context) - Shields - 1993
1   the redundancy of the fixed-database Lempel-Ziv algorithm fo.. (context) - Yang, Kieffer - 1997
1   Lossless compression via multilevel pattern matching (context) - Kieffer, Yang et al.

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