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Advances in Stochastic Models for Reliablity, Quality and Safety

  • Book
  • © 1998

Overview

Editors:
  1. Waltraud Kahle

    1. Dept. of Mathematical Stochastics, Otto-von-Guericke-University Magdeburg, Magdeburg, Germany

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  2. Elart Collani

    1. Dept. of Applied Mathematics, University of Würzburg, Würzburg, Germany

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  3. Jürgen Franz

    1. Department of Mathematical Stochastics, Technical University Dresden, Dresden, Germany

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  4. Uwe Jensen

    1. Department of Stochastics, University of Ulm, Ulm, Germany

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

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Table of contents (24 chapters)

  1. Front Matter

    Pages i-xxvii
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  3. Reliability Analysis

    1. Front Matter

      Pages 99-99
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    2. Maximum Likelihood Estimation With Different Sequential k-out-of-n Systems

      • Erhard Cramer, Udo Kamps
      Pages 101-111

    3. Stochastic Models for the Return of Used Devices

      • Berthold Heiligers, Jürgen Ruf
      Pages 113-123

    4. Some Remarks on Dependent Censoring in Complex Systems

      • Tina Herberts, Uwe Jensen
      Pages 125-138

    5. Parameter Estimation in Damage Processes: Dependent Observation of Damage Increments and First Passage Time

      • Waltraud Kahle, Axel Lehmann
      Pages 139-152

    6. Boundary Crossing Probabilities of Poisson Counting Processes with General Boundaries

      • Axel Lehmann
      Pages 153-166

    7. Optimal Sequential Estimation for Markov-Additive Processes

      • Ryszard Magiera
      Pages 167-181

    8. Some Models Describing Damage Processes and Resulting First Passage Times

      • Heide Wendt
      Pages 183-195

    9. Absorption Probabilities of a Brownian Motion in a Triangular Domain

      • Erik Zierke
      Pages 197-210

  4. Network Analysis

    1. Front Matter

      Pages 211-211
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    2. A Simple Algorithm for Calculating Approximately the Reliability of Almost Arbitrary Large Networks

      • Elart von Collani
      Pages 213-233

    3. Reliability Analysis in Flow Networks

      • Roland Jentsch
      Pages 235-245
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Keywords

About this book

Fast technological development produces systems of ever-increasing complex­ ity. The demand for reliable functioning of these systems has become more and more important. Thus, there is a need for highly reliable technical devices and systems, for monitoring and controlling their functioning and for planning maintenance and corrective actions to fulfill given requirements considering eco­ nomic limitations. These tasks reflect the wide field of engineering activities that are accompa­ nied by and based on a wide range of stochastical models. The book presents the main contributions to a workshop on Stochastic Models of Reliability, Qual­ ity, and Safety held in Schierke near Magdeburg, Germany. This workshop was part of a series of meetings that take place every two years organized by the Society of Reliability, Quality and Safety. The basic idea of these workshops is to bring together theorists, applied statisticians, and practitioners to exchange experiences and ideas of common interest. The book contains recent results in reliability and related fields. The presentation aims at making at least a part of the results accessible to engineers.

Editors and Affiliations

  • Dept. of Mathematical Stochastics, Otto-von-Guericke-University Magdeburg, Magdeburg, Germany

    Waltraud Kahle

  • Dept. of Applied Mathematics, University of Würzburg, Würzburg, Germany

    Elart Collani

  • Department of Mathematical Stochastics, Technical University Dresden, Dresden, Germany

    Jürgen Franz

  • Department of Stochastics, University of Ulm, Ulm, Germany

    Uwe Jensen

Bibliographic Information

  • Book Title: Advances in Stochastic Models for Reliablity, Quality and Safety

  • Editors: Waltraud Kahle, Elart Collani, Jürgen Franz, Uwe Jensen

  • Series Title: Statistics for Industry and Technology

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

  • Publisher: Birkhäuser Boston, MA

  • eBook Packages: Springer Book Archive

  • Copyright Information: Birkhäuser Boston 1998

  • Hardcover ISBN: 978-0-8176-4049-1Due: 25 August 1998

  • Softcover ISBN: 978-1-4612-7466-7Published: 26 September 2011

  • eBook ISBN: 978-1-4612-2234-7Published: 06 December 2012

  • Series ISSN: 2364-6241

  • Series E-ISSN: 2364-625X

  • Edition Number: 1

  • Number of Pages: XXVIII, 382

  • Topics: Statistical Theory and Methods, Probability Theory and Stochastic Processes

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