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This book introduces the principles and theories of fatigue statistics and presents the Zhentong Gao method along with its practical applications.Fatigue in metal components is a complex phenomenon and an important issue because the fatigue life of key components often determines the overall lifespan of the aircraft. The book provides an overview and analysis of existing fatigue life calculation and estimation methods, including probability statistical methods such as using Gaussian distribution, logarithmic Gaussian distribution, and Weibull distribution to fit actual data. However, the authors argue that these methods have limitations in terms of reliability and applicability. They point out that the location parameter of the Weibull distribution represents a safe life with 100% reliability. Based on these methods, the book proposes the intelligent Zhentong Gao method, which differs from traditional approaches and effectively addresses and solves the problem of estimating the three parameters of Weibull distribution.This title will serve as a valuable reference for researchers, senior undergraduate and graduate students, and engineers in the fields of aerospace, automotive, mechanical, civil engineering, etc.