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Characterization of Distributions in Reliability

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Recent Advances in Reliability Theory

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

Abstract

Here we shall give an example of using characterization of probability distributions in reliability theory. A one-parameter family of limiting survival functions of hierarchical structures is associated to (almost) every reliability polynomial. These survival functions are generalizations of the exponential survival function (corresponding to the reliability polynomial of series structures). The problem of recovering of reliability polynomials from these limiting survival functions is also settled

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Author information

Authors and Affiliations

  1. St. Petersburg State University for Architecture and Civil Engineering, Russia

    Lev Klebanov

  2. Bowling Green State University, Ohio, USA

    Gabor Szekely

Authors
  1. Lev Klebanov
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  2. Gabor Szekely
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Editor information

Editors and Affiliations

  1. Division Mathématiques Appliquées, Université de Technologie de Compiègne, Compiègne Cedex, 60205, France

    N. Limnios

  2. Université Victor Segalen-Bordeaux 2, Bordeaux Cedex, 33076, France

    M. Nikulin

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© 2000 Springer Science+Business Media New York

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Klebanov, L., Szekely, G. (2000). Characterization of Distributions in Reliability. In: Limnios, N., Nikulin, M. (eds) Recent Advances in Reliability Theory. Statistics for Industry and Technology. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1384-0_7

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  • DOI: https://doi.org/10.1007/978-1-4612-1384-0_7

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-7124-6

  • Online ISBN: 978-1-4612-1384-0

  • eBook Packages: Springer Book Archive

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