A General Class of Fatigue-life Distributions of Birnbaum-Saunders Type
C.C.Y. Dorea, R. Vila, F.S. Quintino
TL;DR
This paper introduces a broad class of fatigue-life distributions of Birnbaum-Saunders type that are applicable even when the traditional asymptotic normality assumption fails due to heavy-tailed crack damage distributions.
Contribution
It extends the Birnbaum-Saunders fatigue-life model to include heavy-tailed damage distributions, broadening its applicability.
Findings
Proposes a new class of fatigue-life distributions of BS type.
Addresses limitations of traditional BS models under heavy-tailed damage.
Enhances modeling flexibility for fatigue-life analysis.
Abstract
The derivation of Birnbaum-Saunders (BS) fatigue-life distribution is based on the asymptotic normality of crack damages' partial sums. We address the situation when this fails and the crack damages possess heavy-tailed distribution. In this note, a general class of fatigue-life distributions of BS type is proposed.
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Taxonomy
TopicsStatistical Distribution Estimation and Applications · Fatigue and fracture mechanics · Probabilistic and Robust Engineering Design