chapter I Genesis, theory and description -- chapter 1 History and meaning of the WEIBULL distribution -- chapter 2 Definition and properties of the WEIBULL distribution -- chapter 3 Related distributions -- chapter 4 WEIBULL processes and WEIBULL renewal theory -- chapter 5 Order statistics and related variables -- chapter 6 Characterizations -- chapter II Applications and inference -- chapter 7 WEIBULL applications and aids in doing WEIBULL analysis -- chapter 8 Collecting life data -- chapter 9 Parameter estimation — Graphical approaches -- chapter 10 Parameter estimation — Least squares and linear approaches -- chapter 11 Parameter estimation — Maximum likelihood approaches -- chapter 12 Parameter estimation —Methods of moments -- chapter 13 Parameter estimation — More classical approaches and comparisons -- chapter 14 Parameter estimation — BAYESIAN approaches -- chapter 15 Parameter estimation — Further approaches -- chapter 16 Parameter estimation in accelerated life testing -- chapter 17 Parameter estimation for mixed WEIBULL models -- chapter 18 Inference of WEIBULL processes -- chapter 19 Estimation of percentiles and reliability including tolerance limits -- chapter 20 Prediction of future random quantities -- chapter 21 WEIBULL parameter testing -- chapter 22 WEIBULL goodness-of-fit testing and related problems -- chapter III Appendices -- chapter Table of the gamma, digamma and trigamma functions -- chapter Abbreviations -- chapter Mathematical and statistical notations.