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Metal fatigue, Wicksell transform and extreme values
Author(s) -
Takahashi Rinya,
Sibuya Masaaki
Publication year - 2002
Publication title -
applied stochastic models in business and industry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.413
H-Index - 40
eISSN - 1526-4025
pISSN - 1524-1904
DOI - 10.1002/asmb.477
Subject(s) - extreme value theory , parametric statistics , non metallic inclusions , inference , statistical inference , econometrics , mathematics , statistical physics , materials science , statistics , computer science , metallurgy , physics , artificial intelligence
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.