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Statistical and Probabilistic Models in Reliability

  • Book
  • © 1999

Overview

Editors:
  1. D. C. Ionescu

    1. Power Engineering Faculty, University Politehnica Bucharest, Bucharest, Romania

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  2. N. Limnios

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

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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-xxxvi
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  2. Statistical Methods

    1. Front Matter

      Pages 1-1
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    2. Statistical Modeling and Analysis of Repairable Systems

      • Bo Henry Lindqvist
      Pages 3-25

    3. CPIT Goodness-Of-Fit Tests for Reliability Growth Models

      • Olivier Gaudoin
      Pages 27-37

    4. On the Use of Minimally Informative Copulae in Competing Risk Problems

      • Tim Bedford
      Pages 39-50

    5. Model Building in Accelerated Experiments

      • V. Bagdonavičius, M. S. Nikulin
      Pages 51-73

    6. On Semiparametric Estimation of Reliability From Accelerated Life Data

      • V. Bagdonavičius, M. S. Nikulin
      Pages 75-89

    7. Analysis of Reliability Characteristics Estimators in Accelerated Life Testing

      • Leo Gerville-Reache, Valentina Nikoulina
      Pages 91-99

    8. Chi-Squared Goodness of Fit Test for Doubly Censored Data With Applications in Survival Analysis and Reliability

      • M. S. Nikulin, V. N. Solev
      Pages 101-111

    9. Estimation of Kernel, Availability and Reliability of Semi-Markov Systems

      • B. Ouhbi, N. Limnios
      Pages 113-124

  3. Probabilistic Methods

    1. Front Matter

      Pages 125-125
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    2. Stochastic Models of Systems in Reliability Problems

      • Vladimir S. Korolyuk
      Pages 127-141

    3. Markovian Repairman Problems. Classification and Approximation

      • Vladimir S. Korolyuk, Nicolas A. Derzko, Vladimir V. Korolyuk
      Pages 143-151

    4. On Limit Reliability Functions of Large Systems. Part I

      • Krzysztof Kolowrocki
      Pages 153-183

    5. On Limit Reliability Functions of Large Systems. Part II

      • Adam Cichocki, Dorota Kurowicka, Beata Milczek
      Pages 185-197

    6. Error Bounds for a Stiff Markov Chain Approximation Technique and an Application

      • Olivier Pourret, Jérôme Collet, Jean-Louis Bon
      Pages 199-211

    7. On the Failure Rate of Components Subjected to a Diffuse Stress Environment

      • A. Le Breton, J.-L. Soler
      Pages 213-224

    8. Modelling the Reliability of a Complex System Under Stress Environment

      • Cristina Zahalca, Mohamed Chardi
      Pages 225-234

    9. On the Failure Rate

      • Gheorghe Oprişan
      Pages 235-242

    10. Asymptotic Results for the Failure Time of Consecutive k-out-of-n Systems

      • Brahim Ksir
      Pages 243-248
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Keywords

About this book

This volume consists of twenty-four papers selected by the editors from the sixty-one papers presented at the 1st International Conference on Mathemati­ cal Methods in Reliability held at the Politehnica University of Bucharest from 16 to 19 September 1997. The papers have been divided into three sections: statistical methods, probabilistic methods, and special techniques and appli­ cations. Of course, as with any classification, some papers could be as well assigned to other sections. Problems in reliability are encountered in items in everyday usage. Relia­ bility is an important feature of household appliances, cars, telephones, power supplies, and so on, whether viewed from the vantage of the producer or the consumer. Important decisions are based on the reliability of the product. Obtaining systems that perform adequately for a specified period of time in a given environment is an important goal for both government and industry. Hence study and use of reliability theory, which can be applied in the research, development, and production phases of a system to enable the user to evaluate and improve performance, is a worthwhile venture. If reliability theory is to be useful, it must be quantitative in nature, because reliability must be demonstra­ ble. Subsequently probability and statistics, among others, play an important part in its development.

Editors and Affiliations

  • Power Engineering Faculty, University Politehnica Bucharest, Bucharest, Romania

    D. C. Ionescu

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

    N. Limnios

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