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Three-dimensional Distributions

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Book cover Error Analysis with Applications in Engineering

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 169))

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Abstract

Chapter 7 presents basic information concerning three-dimensional distributions of random variables. Attention is given to continuous distributions, mainly to a three-dimensional normal distribution of independent random variables. Described is a procedure of determining ellipsoids of probability concentration and their dimensions being determined by a chi-squared distribution with three degrees of freedom.

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References

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Authors and Affiliations

  1. PAN Warszawa, Inst. Fundamental Technological Research, ul. Pawińskiego 5B, 02-106, Warsaw, Poland

    Zbigniew Kotulski & Wojciech Szczepiński

Authors
  1. Zbigniew Kotulski
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  2. Wojciech Szczepiński
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Correspondence to Zbigniew Kotulski .

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Kotulski, Z., Szczepiński, W. (2010). Three-dimensional Distributions. In: Error Analysis with Applications in Engineering. Solid Mechanics and Its Applications, vol 169. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3570-7_7

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  • DOI: https://doi.org/10.1007/978-90-481-3570-7_7

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-3571-4

  • Online ISBN: 978-90-481-3570-7

  • eBook Packages: EngineeringEngineering (R0)

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