Approximate counting with m counters: A probabilistic analysis

Cilt: 2 Sayı: 3 14 Eylül 2015
  • Guy Louchard
  • Helmut Prodinger
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Approximate counting with m counters: A probabilistic analysis

Abstract

Motivated by a recent paper by Cicho\'n and Macyna [1], who introduced $m$ counters (instead of just one) in the approximate counting scheme first analysed by Flajolet [2], we analyse the moments of the sum of the $m$ counters, using techniques that proved to be successful already in several other contexts [11].

Keywords

Kaynakça

  1. J. Cichoń and W. Macyna, Approximate counters for flash memory, 17th IEEE International Confer- ence on Embedded and Real-Time Computing Systems and Applications (RTCSA), Toyama, Japan, 20 P. Flajolet, Approximate counting: A detailed analysis, BIT, 25, 113–134, 1985.
  2. P. Flajolet and R. Sedgewick, Digital search trees revisited, SIAM J. Comput., 3, 748–767, 1986.
  3. M. Fuchs, C. K. Lee, and H. Prodinger, Approximate counting via the Poisson-Laplace-Mellin method, DMTCS, proc AQ, 13–28, 2012.
  4. H.-K. Hwang, M. Fuchs and V. Zacharovas, Asymptotic variance of random symmetric digital search trees, Discrete Math. Theor. Comput. Sci., 12, 103–166, 2010.
  5. P. Kirschenhofer and H. Prodinger, Approximate counting: An alternative approach, RAIRO Theor. Inform. Appl., 25, 43–48, 1991.
  6. D. E. Knuth, The art of computer programming, volume 3: Sorting and searching, Addison-Wesley, 1973, (Second edition, 1998).
  7. M. Loève, Probability theory, 3rd ed, D. Van Nostrand, 1963.
  8. G. Louchard, Exact and asymptotic distributions in digital and binary search trees, RAIRO Theor. Inform. Appl., 21(4), 479–496, 1987.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

-

Yazarlar

Guy Louchard Bu kişi benim

Helmut Prodinger Bu kişi benim

Yayımlanma Tarihi

14 Eylül 2015

Gönderilme Tarihi

14 Eylül 2015

Kabul Tarihi

-

Yayımlandığı Sayı

Yıl 2015 Cilt: 2 Sayı: 3

Kaynak Göster

APA
Louchard, G., & Prodinger, H. (2015). Approximate counting with m counters: A probabilistic analysis. Journal of Algebra Combinatorics Discrete Structures and Applications, 2(3), 191-209. https://doi.org/10.13069/jacodesmath.36015
AMA
1.Louchard G, Prodinger H. Approximate counting with m counters: A probabilistic analysis. Journal of Algebra Combinatorics Discrete Structures and Applications. 2015;2(3):191-209. doi:10.13069/jacodesmath.36015
Chicago
Louchard, Guy, ve Helmut Prodinger. 2015. “Approximate counting with m counters: A probabilistic analysis”. Journal of Algebra Combinatorics Discrete Structures and Applications 2 (3): 191-209. https://doi.org/10.13069/jacodesmath.36015.
EndNote
Louchard G, Prodinger H (01 Eylül 2015) Approximate counting with m counters: A probabilistic analysis. Journal of Algebra Combinatorics Discrete Structures and Applications 2 3 191–209.
IEEE
[1]G. Louchard ve H. Prodinger, “Approximate counting with m counters: A probabilistic analysis”, Journal of Algebra Combinatorics Discrete Structures and Applications, c. 2, sy 3, ss. 191–209, Eyl. 2015, doi: 10.13069/jacodesmath.36015.
ISNAD
Louchard, Guy - Prodinger, Helmut. “Approximate counting with m counters: A probabilistic analysis”. Journal of Algebra Combinatorics Discrete Structures and Applications 2/3 (01 Eylül 2015): 191-209. https://doi.org/10.13069/jacodesmath.36015.
JAMA
1.Louchard G, Prodinger H. Approximate counting with m counters: A probabilistic analysis. Journal of Algebra Combinatorics Discrete Structures and Applications. 2015;2:191–209.
MLA
Louchard, Guy, ve Helmut Prodinger. “Approximate counting with m counters: A probabilistic analysis”. Journal of Algebra Combinatorics Discrete Structures and Applications, c. 2, sy 3, Eylül 2015, ss. 191-09, doi:10.13069/jacodesmath.36015.
Vancouver
1.Guy Louchard, Helmut Prodinger. Approximate counting with m counters: A probabilistic analysis. Journal of Algebra Combinatorics Discrete Structures and Applications. 01 Eylül 2015;2(3):191-209. doi:10.13069/jacodesmath.36015