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Statistical Extremes as a Tool for Design

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Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 56))

Abstract

Classical Statistical Extremes Theory describes the random behaviour of the largest or smallest values of independent and identically distributed (i.i.d.) samples: the theory may be extended to random interdependent sequences and thus it can be used in concrete decision or design problems where the crossing of some bounds can give rise to breakdown or disaster. Large waves, gusts of wind, floods, large insurance claims etc., are examples or maxima; droughts, fatigue, rupture, failures of nuclear reactors, etc., may be connected with minima; disaster can occur if some bounds are exceeded or not attained. The design of a breakwater, of a plane, of a high antenna or of a high tower, etc., must, take in to account the risks of (random) failure and/or disaster.

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© 1997 Springer Science+Business Media Dordrecht

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de Oliveira, J.T. (1997). Statistical Extremes as a Tool for Design. In: Soares, C.G. (eds) Probabilistic Methods for Structural Design. Solid Mechanics and Its Applications, vol 56. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5614-1_9

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  • DOI: https://doi.org/10.1007/978-94-011-5614-1_9

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6366-1

  • Online ISBN: 978-94-011-5614-1

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