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The Statistical Stability Phenomenon pp 111–118Cite as

Statistical Stability of Different Types of Noise and Process

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Abstract

Different types of noise are studied, in particular, the color noises, flicker noise, and self-similar (fractal) noise. The results of studies of statistical stability of various noises and processes are generalized and the causes of statistical stability violation are investigated. It is found that statistically unstable processes can arise in different ways: because of inflows from the outside in an open system of matter, energy, and (or) information, as a result of nonlinear and even linear transformations, and due to wave damping.

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Authors and Affiliations

  1. Institute of Mathematical Machines and Systems Problem, National Academy of Sciences of Ukraine, 42 Prospect Glushkova, Kiev, 03680, Ukraine

    Igor I. Gorban

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  1. Igor I. Gorban
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Correspondence to Igor I. Gorban .

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Gorban, I.I. (2017). Statistical Stability of Different Types of Noise and Process. In: The Statistical Stability Phenomenon. Mathematical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-43585-5_8

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  • DOI: https://doi.org/10.1007/978-3-319-43585-5_8

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-43584-8

  • Online ISBN: 978-3-319-43585-5

  • eBook Packages: EngineeringEngineering (R0)

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