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Volumn 31, Issue 3, 2001, Pages 318-360

Average profile of the Lempel-Ziv parsing scheme for a Markovian source

Author keywords

Analytic depoissonization; Data compression; Depth in a tree; Digital search trees; Lempel Ziv scheme; Markov source; Mellin transform; Phrase length; Poisson transform; Stochastic comparisons

Indexed keywords

ALGORITHMS; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; PROBABILITY; TREES (MATHEMATICS);

EID: 0001477272     PISSN: 01784617     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00453-001-0053-3     Document Type: Article
Times cited : (24)

References (29)
  • 1
    • 0001523971 scopus 로고
    • A Diffusion Limit for a Class of Random-Growing Binary Trees
    • D. Aldous, and P. Shields, A Diffusion Limit for a Class of Random-Growing Binary Trees, Probab. Theory Related Fields, 79, 509-542, 1988.
    • (1988) Probab. Theory Related Fields , vol.79 , pp. 509-542
    • Aldous, D.1    Shields, P.2
  • 3
    • 0000390031 scopus 로고
    • Basic Properties of Strong Mixing Conditions
    • (Eds. E. Eberlein and M. Taqqu)
    • R. Bradley, Basic Properties of Strong Mixing Conditions, in Dependence in Probability and Statistics (Eds. E. Eberlein and M. Taqqu), pp. 165-192, 1986.
    • (1986) Dependence in Probability and Statistics , pp. 165-192
    • Bradley, R.1
  • 4
    • 0000658795 scopus 로고    scopus 로고
    • Dynamical Sources in Information Theory: A General Analysis of Trie Structures
    • J. Clement, P. Flajolet, and B. Vallée, Dynamical Sources in Information Theory: A General Analysis of Trie Structures, Algorithmica, 29, 307-369, 2001.
    • (2001) Algorithmica , vol.29 , pp. 307-369
    • Clement, J.1    Flajolet, P.2    Vallée, B.3
  • 5
    • 0007554179 scopus 로고    scopus 로고
    • Singularity Analysis and Asymptotics of Bernoulli Sums
    • P. Flajolet, Singularity Analysis and Asymptotics of Bernoulli Sums, Theoret. Comput. Sci., 215, 371-381, 1999.
    • (1999) Theoret. Comput. Sci. , vol.215 , pp. 371-381
    • Flajolet, P.1
  • 6
    • 0029326388 scopus 로고
    • Mellin Transforms and Asymptotics: Harmonic Sums
    • P. Flajolet, X. Gourdon, and P. Dumas, Mellin Transforms and Asymptotics: Harmonic Sums, Theoret. Comput. Sci., 144, 3-58, 1995.
    • (1995) Theoret. Comput. Sci. , vol.144 , pp. 3-58
    • Flajolet, P.1    Gourdon, X.2    Dumas, P.3
  • 7
    • 0026954274 scopus 로고
    • The Lempel-Ziv Algorithm and Message Complexity
    • E. Gilbert and T. Kadota, The Lempel-Ziv Algorithm and Message Complexity, IEEE Trans. Inform. Theory, 38, 1839-1842, 1992.
    • (1992) IEEE Trans. Inform. Theory , vol.38 , pp. 1839-1842
    • Gilbert, E.1    Kadota, T.2
  • 8
    • 0031675884 scopus 로고    scopus 로고
    • On Sliding-Window Universal Data Compression with Limited Memory
    • Y. Hershkovits and J. Ziv, On Sliding-Window Universal Data Compression with Limited Memory, IEEE Trans. Inform. Theory, 44, 66-78, 1997.
    • (1997) IEEE Trans. Inform. Theory , vol.44 , pp. 66-78
    • Hershkovits, Y.1    Ziv, J.2
  • 9
    • 0026221569 scopus 로고
    • Analysis of Digital Tries with Markovian Dependency
    • P. Jacquet and W. Szpankowski, Analysis of Digital Tries with Markovian Dependency, IEEE Trans. Inform. Theory, 37, 1470-1475, 1991.
    • (1991) IEEE Trans. Inform. Theory , vol.37 , pp. 1470-1475
    • Jacquet, P.1    Szpankowski, W.2
  • 10
    • 0029327379 scopus 로고
    • Asymptotic Behavior of the Lempel-Ziv Parsing Scheme and Digital Search Trees
    • P. Jacquet and W. Szpankowski, Asymptotic Behavior of the Lempel-Ziv Parsing Scheme and Digital Search Trees, Theoret. Comput. Sci., 144, 161-197, 1995.
    • (1995) Theoret. Comput. Sci. , vol.144 , pp. 161-197
    • Jacquet, P.1    Szpankowski, W.2
  • 11
    • 0002560302 scopus 로고    scopus 로고
    • Analytical Depoissonization Lemma and Its Applications
    • P. Jacquet and W. Szpankowski, Analytical Depoissonization Lemma and Its Applications, Theoret. Comput. Sci., 201, 1-62, 1998.
    • (1998) Theoret. Comput. Sci. , vol.201 , pp. 1-62
    • Jacquet, P.1    Szpankowski, W.2
  • 12
    • 0032642947 scopus 로고    scopus 로고
    • Entropy Computations via Analytic Depoissonization
    • P. Jacquet and W. Szpankowski, Entropy Computations via Analytic Depoissonization, IEEE Trans. Inform. Theory, 45, 1072-1081, 1999.
    • (1999) IEEE Trans. Inform. Theory , vol.45 , pp. 1072-1081
    • Jacquet, P.1    Szpankowski, W.2
  • 14
    • 0029277039 scopus 로고
    • Average Profile and Limiting Distribution for a Phrase Size in the Lempel-Ziv Parsing Algorithm
    • G. Louchard and W. Szpankowski, Average Profile and Limiting Distribution for a Phrase Size in the Lempel-Ziv Parsing Algorithm, IEEE Trans. Inform. Theory, 41, 478-488, 1995.
    • (1995) IEEE Trans. Inform. Theory , vol.41 , pp. 478-488
    • Louchard, G.1    Szpankowski, W.2
  • 15
    • 0030784277 scopus 로고    scopus 로고
    • On the Average Redundancy Rate of the Lempel-Ziv Code
    • G. Louchard and W. Szpankowski, On the Average Redundancy Rate of the Lempel-Ziv Code, IEEE Trans. Inform. Theory, 43, 2-8, 1997.
    • (1997) IEEE Trans. Inform. Theory , vol.43 , pp. 2-8
    • Louchard, G.1    Szpankowski, W.2
  • 16
    • 0032272332 scopus 로고    scopus 로고
    • Average Profile of Generalized Digital Search Trees and the Generalized Lempel-Ziv Algorithm
    • G. Louchard, W. Szpankowski, and J. Tang, Average Profile of Generalized Digital Search Trees and the Generalized Lempel-Ziv Algorithm, SIAM J. Comput., 28, 935-954, 1999.
    • (1999) SIAM J. Comput. , vol.28 , pp. 935-954
    • Louchard, G.1    Szpankowski, W.2    Tang, J.3
  • 18
    • 0026153384 scopus 로고
    • Universal Coding with Minimum Probability of Codeword Length Overflow
    • N. Merhav, Universal Coding with Minimum Probability of Codeword Length Overflow, IEEE Trans. Inform. Theory, 37, 556-563, 1991.
    • (1991) IEEE Trans. Inform. Theory , vol.37 , pp. 556-563
    • Merhav, N.1
  • 20
    • 0000437595 scopus 로고
    • Asymptotic Growth of a Class of random Trees
    • B. Pittel, Asymptotic Growth of a Class of random Trees, Ann. Probab., 13, 414-427, 1985.
    • (1985) Ann. Probab. , vol.13 , pp. 414-427
    • Pittel, B.1
  • 21
    • 0030736448 scopus 로고    scopus 로고
    • Redundancy of the Lempel-Ziv Incremental Parsing Rule
    • S. Savari, Redundancy of the Lempel-Ziv Incremental Parsing Rule, IEEE Trans. Inform. Theory, 43, 9-21, 1997.
    • (1997) IEEE Trans. Inform. Theory , vol.43 , pp. 9-21
    • Savari, S.1
  • 23
    • 0026417007 scopus 로고
    • A Characterization of Digital Search Trees from the Successful Search Viewpoint
    • W. Szpankowski, A Characterization of Digital Search Trees from the Successful Search Viewpoint, Theoret. Comput. Sci., 85, 117-134, 1991.
    • (1991) Theoret. Comput. Sci. , vol.85 , pp. 117-134
    • Szpankowski, W.1
  • 26
    • 0242269901 scopus 로고    scopus 로고
    • Dynamical Sources in Information Theory: Fundamental Intervals and Word Prefixes
    • B. Vallée, Dynamical Sources in Information Theory: Fundamental Intervals and Word Prefixes, Algorithmica, 29, 262-306, 2001.
    • (2001) Algorithmica , vol.29 , pp. 262-306
    • Vallée, B.1
  • 27
    • 0031234273 scopus 로고    scopus 로고
    • The Redundancy and Distribution of the Phrase Lengths of the Fixed-Database Lempel-Ziv Algorithm
    • A. J. Wyner, The Redundancy and Distribution of the Phrase Lengths of the Fixed-Database Lempel-Ziv Algorithm, IEEE Trans. Inform. Theory, 43, 1439-1465, 1997.
    • (1997) IEEE Trans. Inform. Theory , vol.43 , pp. 1439-1465
    • Wyner, A.J.1
  • 28
    • 0242344361 scopus 로고    scopus 로고
    • Back from Infinity: A Constrained Resources Approach to Information Theory
    • J. Ziv, Back from Infinity: A Constrained Resources Approach to Information Theory, IEEE Inform. Theory Soc. Newsletter, 48, 30-33, 1998.
    • (1998) IEEE Inform. Theory Soc. Newsletter , vol.48 , pp. 30-33
    • Ziv, J.1
  • 29
    • 0018019231 scopus 로고
    • Compression of Individual Sequences via Variable-Rate Coding
    • J. Ziv and A. Lempel, Compression of Individual Sequences via Variable-Rate Coding, IEEE Trans. Inform. Theory, 24, 530-536, 1978.
    • (1978) IEEE Trans. Inform. Theory , vol.24 , pp. 530-536
    • Ziv, J.1    Lempel, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.