Part I: Distribution Theory and Models -- Progressive censoring: Data and models -- Progressive Type-II censoring: Distribution theory -- Further distributional results on progressive Type-II censoring -- Progressive Type-I censoring: Basic properties -- Progressive hybrid censoring: Distributions and properties -- Adaptive progressive Type-II censoring and related models -- Moments of progressively Type-II censored order statistics -- Simulation of progressively censored order statistics -- Information Measures -- Progressive Type-II censoring under non-standard conditions -- Part II: Inference -- Linear estimation in progressive Type-II censoring -- Maximum likelihood estimation in progressive Type-II censoring -- Point estimation in progressive Type-I censoring -- Progressive hybrid and adaptive censoring and related inference -- Bayesian inference for progressively Type-II censored data -- Point prediction from progressively Type-II censored samples -- Statistical intervals for progressively Type-II censored data -- Progressive Type-I interval censored data -- Goodness-of-fit-tests in progressive Type-II censoring -- Counting and quantile processes and progressive censoring -- Nonparametric inferential issues in progressive Type-II censoring -- Part III: Applications in Survival Analysis and Reliability -- Acceptance sampling plans -- Accelerated life-testing -- Stress-strength models with progressively censored data -- Multi-sample models -- Optimal experimental designs -- Part IV: Appendices -- Appendix A: Distributions -- Appendix B: Additional demonstrative datasets -- Notation -- References -- Author index -- Subject index.