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Metal fatigue, Wicksell transform and extreme values

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  • Rinya Takahashi
  • Masaaki Sibuya

Abstract

The fatigue strength of high‐strength steel is closely related to the largest size of non‐metallic inclusions in the region of maximum stress of the steel. Hence, it is necessary to predict the largest size of the inclusions based on the size data measured in microscopic view‐fields of planar sections of a specimen. A statistical problem is the inference on the distribution of unmeasurable extreme values from the observations on its Wicksell transform. In this paper, the authors' previous works based on a parametric model are reviewed, and current research activities based on alternative models are introduced. Copyright © 2002 John Wiley & Sons, Ltd.

Suggested Citation

  • Rinya Takahashi & Masaaki Sibuya, 2002. "Metal fatigue, Wicksell transform and extreme values," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 18(3), pages 301-312, July.
    • Handle: RePEc:wly:apsmbi:v:18:y:2002:i:3:p:301-312
    DOI: 10.1002/asmb.477
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    Cited by:

    1. A.B. Schmiedt & H.H. Dickert & W. Bleck & U. Kamps, 2014. "Multivariate extreme value analysis and its relevance in a metallographical application," Journal of Applied Statistics, Taylor & Francis Journals, vol. 41(3), pages 582-595, March.

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