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Introduction

In: Fuzzy Randomness

Author

Listed:
  • Bernd Möller

    (Dresden University of Technology, Institute of Structural Analysis (Lehrstuhl für Statik))

  • Michael Beer

    (Dresden University of Technology, Institute of Structural Analysis (Lehrstuhl für Statik))

Abstract

For quantifying physical parameters such as geometry, material, or loading parameters, real numbers or integers are mainly applied, i.e., a deterministic data model is applied. In order to describe randomness resulting from imprecise readings or fluctuating ambient conditions, measurements are repeated and lumped together in a concrete data sample. Mathematical statistics offers methods for describing data samples with the aid of random variables. A common approach for this purpose is to specify a probability distribution function in order to obtain a stochastic data model.

Suggested Citation

  • Bernd Möller & Michael Beer, 2004. "Introduction," Springer Books, in: Fuzzy Randomness, chapter 1, pages 1-18, Springer.
    • Handle: RePEc:spr:sprchp:978-3-662-07358-2_1
    DOI: 10.1007/978-3-662-07358-2_1
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