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Preface Mathematical Foundations of Intelligent Fatigue Statistics Basic Knowledge of Probability Theory Random Variable Functions and Moment Generating Functions Several Commonly Used Distributions Basic Knowledge of Statistics Computer Basics of Intelligent Statistical Fatigue Application of Excel in Probability Statistics Introduction to Python Some Applications of Intelligent Fatigue Statistics Estimation of Population Parameters Zhentong Gao Method Several Commonly Used Testing Methods Application of Digital-Experiments to the Study of Weibull Distribution Epilogue: Perspectives on Intelligent Fatigue Statistics Postscript Appendix A: Python Code for Calculating Confidence Interval Curve of Weibull Distribution Appendix B: Python Code of Digital Experiment of Weibull Distribution Parameters Appendix C: Python Code for Evaluating Weibull Distribution Parameters and Confidence intervals by the Bootstrap Index