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Volumn 44, Issue 1, 2002, Pages 52-62

Rates of convergence for Quicksort

Author keywords

Analysis of algorithms; Contraction method; Local approximation; Quicksort; Rate of convergence; Zolotarev metric

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; FUNCTIONS; SORTING; THEOREM PROVING;

EID: 0036660378     PISSN: 01966774     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0196-6774(02)00206-7     Document Type: Article
Times cited : (16)

References (12)
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    • Fill, J.A.1    Janson, S.2
  • 3
    • 0003099876 scopus 로고    scopus 로고
    • Smoothness and decay properties of the limiting quicksort density function
    • (Versailles, 2000), Birkhäuser, Basel
    • J.A. Fill, S. Janson, Smoothness and decay properties of the limiting Quicksort density function, in: Mathematics and Computer Science (Versailles, 2000), Birkhäuser, Basel, 2000, pp. 53-64.
    • (2000) Mathematics and Computer Science , pp. 53-64
    • Fill, J.A.1    Janson, S.2
  • 4
    • 0036660145 scopus 로고    scopus 로고
    • Quicksort asymptotics
    • http://www.mts.jhu.edu/~fill/papers/quick_asy.ps
    • J.A. Fill, S. Janson, Quicksort asymptotics, J. Algorithms 44 (2002) 4-28. Available at: http://www.mts.jhu.edu/̃fill/papers/quick_asy.ps
    • (2002) J. Algorithms , vol.44 , pp. 4-28
    • Fill, J.A.1    Janson, S.2
  • 7
    • 0001698359 scopus 로고
    • Approximation of sums by compound Poisson distributions with respect to stop-loss distances
    • S.T. Rachev, L. Rüschendorf, Approximation of sums by compound Poisson distributions with respect to stop-loss distances, Adv. Appl. Probab. 22 (1990) 350-374.
    • (1990) Adv. Appl. Probab. , vol.22 , pp. 350-374
    • Rachev, S.T.1    Rüschendorf, L.2
  • 8
    • 0001131997 scopus 로고
    • Probability metrics and recursive algorithms
    • S.T. Rachev, L. Rüschendorf, Probability metrics and recursive algorithms, Adv. Appl. Probab. 27 (1995) 770-799.
    • (1995) Adv. Appl. Probab. , vol.27 , pp. 770-799
    • Rachev, S.T.1    Rüschendorf, L.2
  • 9
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    • A limiting distribution for quicksoft
    • M. Régnier, A limiting distribution for quicksoft, RAIRO Inform. Théor. Appl. 23 (1989) 335-343.
    • (1989) RAIRO Inform. Théor. Appl. , vol.23 , pp. 335-343
    • Régnier, M.1
  • 10
    • 0002731988 scopus 로고
    • A limit theorem for "Quicksort"
    • U. Rösler, A limit theorem for "Quicksortquot;, RAIRO Inform. Théor. Appl. 25 (1991) 85-100.
    • (1991) RAIRO Inform. Théor. Appl. , vol.25 , pp. 85-100
    • Rösler, U.1
  • 11
    • 0010766211 scopus 로고
    • Approximation of distributions of sums of independent random variables with values in infinite-dimensional spaces
    • V.M. Zolotarev, Approximation of distributions of sums of independent random variables with values in infinite-dimensional spaces, Theor. Probability Appl. 21 (1976) 721-737.
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  • 12
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    • Ideal metrics in the problem of approximating distributions of sums of independent random variables
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    • Zolotarev, V.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.