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Basic Stochastics for Reliability Analysis

In: Stochastic Modeling for Reliability

Author

Listed:
  • Maxim Finkelstein

    (University of the Free State
    Max Planck Institute for Demographic Research)

  • Ji Hwan Cha

    (Ewha Womans University)

Abstract

In this introductory chapter, we partially follow, revise, and expand the relevant portions of Chaps. 2 and 4 of Finkelstein [25] and also add other material that should be helpful when reading the rest of this book. Therefore, we will often refer to this chapter in the subsequent parts of the text. It covers the notions and some basic properties of the failure rate, the mean residual lifetime, stochastic point processes, minimal and general repair, multivariate accelerated and proportional hazards models and, finally, the simplest stochastic orders.

Suggested Citation

  • Maxim Finkelstein & Ji Hwan Cha, 2013. "Basic Stochastics for Reliability Analysis," Springer Series in Reliability Engineering, in: Stochastic Modeling for Reliability, edition 127, chapter 0, pages 9-49, Springer.
    • Handle: RePEc:spr:ssrchp:978-1-4471-5028-2_2
    DOI: 10.1007/978-1-4471-5028-2_2
    as

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