The maximum size of the planar sections of random spheres and its application to metallurgy

DOI10.1007/BF00049294zbMath0864.60010OpenAlexW1970078532MaRDI QIDQ1817414

Rinya Takahashi, Masaaki Sibuya

Publication date: 1 December 1996

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00049294

zbMATH Keywords

stereologyextreme value theoryGumbel distributiongeneralized gamma distributionmetal fatigueWicksell's corpuscle problem

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05)

Related Items (5)

The generalized FGM distribution and its application to stereology of extremes. ⋮ Wicksell's Problem in Local Stereology ⋮ A wavelet method for unfolding sphere size distributions ⋮ Unnamed Item ⋮ Unnamed Item

Uses Software

• spatial

Cites Work

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• The kernel method for unfolding sphere size distributions
• Normalizing constants of a distribution which belongs to the domain of attraction of the Gumbel distribution
• Penultimate limiting forms in extreme value theory
• A course on point processes
• Convergence rates for the ultimate and pentultimate approximations in extreme-value theory

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