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Exact Distribution of the Distances between Any Occurrences of a Set of Words

Author

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  • S. Robin
  • J.-J. Daudin

Abstract

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Suggested Citation

  • S. Robin & J.-J. Daudin, 2001. "Exact Distribution of the Distances between Any Occurrences of a Set of Words," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 53(4), pages 895-905, December.
  • Handle: RePEc:spr:aistmt:v:53:y:2001:i:4:p:895-905
    DOI: 10.1023/A:1014633825822
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    Citations

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    Cited by:

    1. V. I. Ilyevsky, 2019. "Recursive Formula for the Random String Word Detection Probability, Overlaps and Probability Extremes," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 11(2), pages 171-180, April.
    2. Ana Helena Tavares & Jakob Raymaekers & Peter J. Rousseeuw & Paula Brito & Vera Afreixo, 2020. "Clustering genomic words in human DNA using peaks and trends of distributions," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 14(1), pages 57-76, March.
    3. Lian Chen & Xiujun Zhang, 2019. "Fault Tolerance and 2-Domination in Certain Interconnection Networks," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 11(2), pages 181-189, April.
    4. Kiyoshi Inoue & Sigeo Aki, 2014. "On sooner and later waiting time distributions associated with simple patterns in a sequence of bivariate trials," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 77(7), pages 895-920, October.
    5. Han, Qing & Hirano, Katuomi, 2003. "Waiting time problem for an almost perfect match," Statistics & Probability Letters, Elsevier, vol. 65(1), pages 39-49, October.
    6. Vladimir Pozdnyakov & Joseph Glaz & Martin Kulldorff & J. Steele, 2005. "A martingale approach to scan statistics," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 57(1), pages 21-37, March.
    7. Yonil Park & John L. Spouge, 2004. "Searching for Multiple Words in a Markov Sequence," INFORMS Journal on Computing, INFORMS, vol. 16(4), pages 341-347, November.
    8. Kiyoshi Inoue & Sigeo Aki, 2009. "On waiting time distributions associated with compound patterns in a sequence of multi-state trials," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 61(2), pages 499-516, June.

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