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Statistical Methods for Estimating the Pipelines Reliability

  • Asaf HajiyevEmail author
  • Yasin Rustamov
  • Narmina Abdullayeva
Conference paper
  • 27 Downloads
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 1190)

Abstract

The problem of estimating the reliability of the energy pipelines have a complicated structure and it is attractive from a theoretical and a practical point of view. The process of energy transportation through a pipeline can be described by a differential equation, but their solution by analytical, even numerical methods, faces some difficulties. One of the effective methods of their investigation is collecting data and carrying out their statistical analysis. The process of energy transportation through pipeline depends also on many parameters and moreover, their number can increase in time. In the paper, different approaches for investigating such problems are introduced. The method regarding the estimation of the main parameters and the construction of a confidence band for an unknown function, describing the behavior of energy transportation through a pipeline, is suggested. Numerical examples, demonstrating theoretical results, are given.

Keywords

Regression models Least square estimates Covariance matrix Three sigma rule Gauss-Markov process Convergence in probability Iterated process 

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Copyright information

© The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Asaf Hajiyev
    • 1
    Email author
  • Yasin Rustamov
    • 1
  • Narmina Abdullayeva
    • 1
  1. 1.Institute of Systems Control, Azerbaijan National Academy of SciencesBakuAzerbaijan

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