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The Generalized Discrete Linnik Distributions

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Advances in Stochastic Models for Reliability, Quality and Safety

Part of the book series: Statistics for Industry and Technology ((SIT))

Abstract

Discrete self-decomposable random variables play an important role in branching processes. Here the generalized discrete Linnik distributions, which are discrete self-decomposable and include the discrete stable as well as the discrete Mittag—Leffler distributions, are introduced and some properties of their probabilities are investigated. Further, the family of survival distributions of a generalized discrete Linnik distributed original observation subjected to a destructive process is determined.

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Author information

Authors and Affiliations

  1. Otto-von-Guericke-Universität Magdeburg, Magdeburg, Germany

    Gerd Christoph & Karina Schreiber

Authors
  1. Gerd Christoph
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  2. Karina Schreiber
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Editor information

Editors and Affiliations

  1. Dept. of Mathematical Stochastics, Otto-von-Guericke-University Magdeburg, Box 4120, D-39016, Magdeburg, Germany

    Waltraud Kahle

  2. Dept. of Applied Mathematics, University of Würzburg, Sanderring 2, D-97070, Würzburg, Germany

    Elart von Collani

  3. Department of Mathematical Stochastics, Technical University Dresden, Zellescher Weg 12-14, D-01069, Dresden, Germany

    Jürgen Franz

  4. Department of Stochastics, University of Ulm, D-89069, Ulm, Germany

    Uwe Jensen

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© 1998 Birkhäuser Boston

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Christoph, G., Schreiber, K. (1998). The Generalized Discrete Linnik Distributions. In: Kahle, W., von Collani, E., Franz, J., Jensen, U. (eds) Advances in Stochastic Models for Reliability, Quality and Safety. Statistics for Industry and Technology. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-2234-7_1

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  • DOI: https://doi.org/10.1007/978-1-4612-2234-7_1

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-1-4612-7466-7

  • Online ISBN: 978-1-4612-2234-7

  • eBook Packages: Springer Book Archive

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