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Recent Advances in Reliability Theory

Methodology, Practice, and Inference

  • Book
  • © 2000

Overview

Editors:
  1. N. Limnios

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

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  2. M. Nikulin

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

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    You can also search for this editor in PubMed   Google Scholar

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

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Table of contents (31 chapters)

  1. Front Matter

    Pages i-xxv
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  2. General Approach

    1. Front Matter

      Pages 1-1
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    2. Reliability: Past, Present, Future

      • Igor Ushakov
      Pages 3-21

    3. Reliability Analysis as a Tool for Expressing and Communicating Uncertainty

      • Terje Aven
      Pages 23-38

  3. Probability Models and Related Issues

    1. Front Matter

      Pages 39-39
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    2. Modeling a Process of Non-Ideal Repair

      • Max S. Finkelstein
      Pages 41-53

    3. Some Models and Mathematical Results for Reliability of Systems of Components

      • Christiane Cocozza-Thivent
      Pages 55-68

    4. Algorithms of Stochastic Activity and Problems of Reliability

      • Boris Harlamov
      Pages 69-83

    5. Some Shifted Stochastic Orders

      • Rosa E. Lillo, Asok K. Nanda, Moshe Shaked
      Pages 85-103

    6. Characterization of Distributions in Reliability

      • Lev Klebanov, Gabor Szekely
      Pages 105-115

  5. Statistical Models and Data Analysis

    1. Front Matter

      Pages 181-181
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    2. Computer Intensive Methods Based on Resampling in Analysis of Reliability and Survival Data

      • Yuri K. Belyaev
      Pages 183-197

    3. Statistical Analysis of Damage Processes

      • Waltraud Kahle, Heide Wendt
      Pages 199-212

    4. Data Analysis Based on Warranty Database

      • Kazuyuki Suzuki, Wataru Yamamoto, Rezaul Karim, Lianhua Wang
      Pages 213-227

    5. Failure Models Indexed by Time and Usage

      • Simon P. Wilson
      Pages 229-243
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Keywords

About this book

Conceiving reliablesystems is a strategic issue for any industrial society. Hence, reliability has become a discipline at the beginning of the Second World War. In fact, reliability is a field of reseach common to mathematics, operational research, informatics, graph theory, physics, and so forth. We are concerned here with the mathematical side of reliability, of which probability, statistics, and more specially stochastic processes theory constitute the natural basis. US army during the war, and later in the US Problems encountered by the and Soviet space programs, have led to an awarenessofthe need for reliabilityor more generaly for dependability (a general term covering reliability, availability, security, maintainability, etc.) of the systems. The paper by W. Weibull of 1938 on the strength of materials, leading to the distribution that later took his name, and the paper by B. Epstein and M. Sobel of 1951, initiating the use of the exponential distribution as the basic (and now most used) model for reliability, are the founding papers of the field. At this time, the systems were merely seen as black boxes. During the 1960s, they began to be considered as the result of the interaction of their elements. Appropriate methods were then developed, from Shannon's work to the beautiful theory of coherent systems initiated by Z.W. Birnbaum, J.D.

Editors and Affiliations

  • Division Mathématiques Appliquées, Université de Technologie de Compiègne, Compiègne Cedex, France

    N. Limnios

  • Université Victor Segalen-Bordeaux 2, Bordeaux Cedex, France

    M. Nikulin

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