Reliability is a New Science

Gnedenko Was Right

  • Paolo Rocchi

Table of contents

  1. Front Matter
    Pages i-xv
  2. Paolo Rocchi
    Pages 1-16
  3. Functioning Systems

    1. Front Matter
      Pages 17-17
    2. Paolo Rocchi
      Pages 35-47
    3. Paolo Rocchi
      Pages 49-57
    4. Paolo Rocchi
      Pages 59-67
    5. Paolo Rocchi
      Pages 69-88
    6. Paolo Rocchi
      Pages 89-100
    7. Paolo Rocchi
      Pages 101-106
  4. Reparable Systems

    1. Front Matter
      Pages 107-107
    2. Paolo Rocchi
      Pages 109-121
  5. Overall Conclusion

    1. Front Matter
      Pages 123-123
    2. Paolo Rocchi
      Pages 125-132
  6. Back Matter
    Pages 133-152

About this book


This work illustrates research conducted over a ten-year timespan and addresses a fundamental issue in reliability theory. This still appears to be an empirically disorganized field and the book suggests employing a deductive base in order to evolve reliability as a science. The study is in line with the fundamental work by Gnedenko.

Boris Vladimirovich Gnedenko (1912 – 1995) was a Soviet mathematician who made significant contributions in various scientific areas. His name is especially associated with studies of dependability, for which he is often recognized as the 'father' of reliability theory.  In the last few decades, this area has expanded in new directions such as safety, security, risk analysis and other fields, yet the book ‘Mathematical Methods in Reliability Theory’ written by Gnedenko with Alexander Soloviev and Yuri Bélyaev still towers as a pillar of the reliability sector’s configuration and identity.

The present book proceeds in the direction opened by the cultural project of the Russian authors; in particular it identifies different trends in the hazard rate functions by means of deductive logic and demonstrations. Further, it arrives at multiple results by means of the entropy function, an original mathematical tool in the reliability domain. As such, it will greatly benefit all specialists in the field who are interested in unconventional solutions.


Foundations of the reliability theory Entropy functions Deductive logic Arrow of time Quality control Mathematical modeling

Authors and affiliations

  • Paolo Rocchi
    • 1
  1. 1.IBMRomeItaly

Bibliographic information