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Latin American Symposium on Theoretical Informatics

LATIN 2000: LATIN 2000: Theoretical Informatics pp 457–462Cite as

Run Statistics for Geometrically Distributed Random Variables

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1776))

Abstract

For words of length n, generated by independent geometric random variables, we consider the mean and variance, and thereafter the distribution of the number of runs of equal letters in the words. In addition, we consider the mean length of a run as well as the length of the longest run over all words of length n.

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Author information

Authors and Affiliations

  1. Institut für Mathematik A, Technische Universität Graz, Steyrergasse 30, 8010, Graz, Austria

    Peter J. Grabner

  2. The John Knopfmacher Centre for Applicable Analysis and Number Theory, Department of Computational and Applied Mathematics, University of the Witwatersrand, P. O. Wits, 2050, Johannesburg, South Africa

    Arnold Knopfmacher

  3. The John Knopfmacher Centre for Applicable Analysis and Number Theory, Department of Mathematics, University of the Witwatersrand, P. O. Wits, 2050, Johannesburg, South Africa

    Helmut Prodinger

Authors
  1. Peter J. Grabner
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  2. Arnold Knopfmacher
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  3. Helmut Prodinger
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Editor information

Editors and Affiliations

  1. ETH Zurich, Institute of Computational Science, CH-8092 Zurich and, Swiss Institute of Bioinformatics, Switzerland

    Gaston H. Gonnet

  2. Pedeciba Informática, Casilla de Correo 16120, Distrito 6, Montevideo, Uruguay

    Alfredo Viola

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© 2000 Springer-Verlag Berlin Heidelberg

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Grabner, P.J., Knopfmacher, A., Prodinger, H. (2000). Run Statistics for Geometrically Distributed Random Variables. In: Gonnet, G.H., Viola, A. (eds) LATIN 2000: Theoretical Informatics. LATIN 2000. Lecture Notes in Computer Science, vol 1776. Springer, Berlin, Heidelberg. https://doi.org/10.1007/10719839_45

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  • DOI: https://doi.org/10.1007/10719839_45

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67306-4

  • Online ISBN: 978-3-540-46415-0

  • eBook Packages: Springer Book Archive

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