Stochastic Modeling for Reliability

Shocks, Burn-in and Heterogeneous populations

  • Maxim Finkelstein
  • Ji Hwan Cha

Part of the Springer Series in Reliability Engineering book series (RELIABILITY)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Maxim Finkelstein, Ji Hwan Cha
    Pages 1-8
  3. Maxim Finkelstein, Ji Hwan Cha
    Pages 9-49
  4. Maxim Finkelstein, Ji Hwan Cha
    Pages 51-77
  5. Maxim Finkelstein, Ji Hwan Cha
    Pages 79-141
  6. Maxim Finkelstein, Ji Hwan Cha
    Pages 143-200
  7. Maxim Finkelstein, Ji Hwan Cha
    Pages 201-236
  8. Maxim Finkelstein, Ji Hwan Cha
    Pages 237-260
  9. Maxim Finkelstein, Ji Hwan Cha
    Pages 261-312
  10. Maxim Finkelstein, Ji Hwan Cha
    Pages 313-361
  11. Maxim Finkelstein, Ji Hwan Cha
    Pages 363-384
  12. Back Matter
    Pages 385-388

About this book


Focusing on shocks modeling, burn-in and heterogeneous populations, Stochastic Modeling for Reliability naturally combines these three topics in the unified stochastic framework and presents numerous practical examples that illustrate recent theoretical findings of the authors. 

The populations of manufactured items in industry are usually heterogeneous. However, the conventional reliability analysis is performed under the implicit assumption of homogeneity, which can result in distortion of the corresponding reliability indices and various misconceptions. Stochastic Modeling for Reliability fills this gap and presents the basics and further developments of reliability theory for heterogeneous populations. Specifically, the authors consider burn-in as a method of elimination of ‘weak’ items from heterogeneous populations. The real life objects are operating in a changing environment. One of the ways to model an impact of this environment is via the external shocks occurring in accordance with some stochastic point processes. The basic theory for Poisson shock processes is developed and also shocks as a method of burn-in and of the environmental stress screening for manufactured items are considered.

Stochastic Modeling for Reliability introduces and explores the concept of burn-in in heterogeneous populations and its recent development, providing a sound reference for reliability engineers, applied mathematicians, product managers and manufacturers alike.


Failure Rate Heterogeneous Populations Mathematical Modeling Minimal Repair Reliability Engineering

Authors and affiliations

  • Maxim Finkelstein
    • 1
  • Ji Hwan Cha
    • 2
  1. 1., Department of Mathematical StatisticsUniversity of the Free StateBloemfonteinSouth Africa
  2. 2., Department of StatisticsEwha Womans UniversitySeoulKorea, Republic of (South Korea)

Bibliographic information

Industry Sectors
Chemical Manufacturing
Consumer Packaged Goods
Materials & Steel
Energy, Utilities & Environment
Oil, Gas & Geosciences