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Recent Advances in Reliability Theory

Methodology, Practice, and Inference

  • N. Limnios
  • M. Nikulin

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

Table of contents

  1. Front Matter
    Pages i-xxv
  2. General Approach

  3. Probability Models and Related Issues

    1. Front Matter
      Pages 39-39
    2. Max S. Finkelstein
      Pages 41-53
    3. Rosa E. Lillo, Asok K. Nanda, Moshe Shaked
      Pages 85-103
    4. Lev Klebanov, Gabor Szekely
      Pages 105-115
  4. Asymptotic Analysis

  5. Statistical Models and Data Analysis

    1. Front Matter
      Pages 181-181
    2. Waltraud Kahle, Heide Wendt
      Pages 199-212
    3. Kazuyuki Suzuki, Wataru Yamamoto, Rezaul Karim, Lianhua Wang
      Pages 213-227
    4. Simon P. Wilson
      Pages 229-243
    5. Richard Johnson, Wenqing Lu
      Pages 245-257
    6. Dorota Kurowicka, Roger Cooke
      Pages 259-276
  6. Methods Common to Reliability and Survival Analysis

    1. Front Matter
      Pages 277-277
    2. Thierry Duchesne
      Pages 279-290
    3. Catherine Huber
      Pages 291-305
  7. Software Reliability

  8. Statistical Inference

    1. Front Matter
      Pages 353-353
    2. N. Balakrishnan, R. Frattina
      Pages 355-378
    3. Duane L. Steffey, Francisco J. Samaniego, Hien Tran
      Pages 379-390
    4. J. V. Deshpande, M. Mukhopadhyay, U. V. Naik-Nimbalkar
      Pages 391-404
    5. Vilijandas Bagdonavičius, Mikhail Nikulin
      Pages 405-418
    6. Michael LuValle
      Pages 419-433
    7. Mikhail Nikulin, Vassilly Voinov
      Pages 435-448
  9. Asmptotic Methods in Statistics

    1. Front Matter
      Pages 449-449
    2. George G. Roussas
      Pages 451-475
    3. Edsel A. Peña, Robert L. Strawderman, Myles Hollander
      Pages 493-514

About this book

Introduction

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.

Keywords

Analysis Engineering Reliability Life Testing Markov Risk Engineering algorithm data analysis modeling

Editors and affiliations

  • N. Limnios
    • 1
  • M. Nikulin
    • 2
  1. 1.Division Mathématiques AppliquéesUniversité de Technologie de CompiègneCompiègne CedexFrance
  2. 2.Université Victor Segalen-Bordeaux 2Bordeaux CedexFrance

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