Quantile Based Reliability Analysis Preface Chapter I Quantile Functions Chapter II Quantile Based Reliability Concepts Chapter III Quantile Function Models Chapter IV Ageing Concepts Chapter V Total Time on Test Transforms (TTT) Chapter VI L Moments of Residual Life and Partial Moments Chapter VII Nonmonotone Hazard Quantile Functions Chapter VIII Stochastic Orders in Reliability IX Estimation and Modeling. References Index. Quantile Based Reliability Analysis presents a novel approach to reliability theory using quantile functions in contrast to the traditional approach based on distribution functions. Quantile functions and distribution functions are mathematically equivalent ways to define a probability distribution. However quantile functions have several advantages over distribution functions. First many data sets with non elementary distribution functions can be modeled by quantile functions with simple forms. Second most quantile functions approximate many of the standard models in reliability analysis quite well. Consequently if physical conditions do not suggest a plausible model an arbitrary quantile function will be a good first approximation. Finally the inference procedures for quantile models need less information and are more robust to outliers. Quantile Based Reliability Analysis’s innovative methodology is laid out in a well organized sequence of topics including: · Definitions and properties of reliability concepts in terms of quantile functions; · Ageing concepts and their interrelationships; · Total time on test transforms; · L moments of residual life; · Score and tail exponent functions and relevant applications; · Modeling problems and stochastic orders connecting quantile based reliability functions. An ideal text for advanced undergraduate and graduate courses in reliability and statistics Quantile Based Reliability Analysis also contains many unique topics for study and research in survival analysis engineering economics and the medical sciences. In addition its illuminating discussion of the general theory of quantile functions is germane to many contexts involving statistical analysis. .