โ Scribed by Kalimuthu Krishnamoorthy, Thomas Mathew
No coin nor oath required. For personal study only.
A modern and comprehensive treatment of tolerance intervals and regionsThe topic of tolerance intervals and tolerance regions has undergone significant growth during recent years, with applications arising in various areas such as quality control, industry, and environmental monitoring. Statistical Tolerance Regions presents the theoretical development of tolerance intervals and tolerance regions through computational algorithms and the illustration of numerous practical uses and examples. This is the first book of its kind to successfully balance theory and practice, providing a state-of-the-art treatment on tolerance intervals and tolerance regions.The book begins with the key definitions, concepts, and technical results that are essential for deriving tolerance intervals and tolerance regions. Subsequent chapters provide in-depth coverage of key topics including:Univariate normal distributionNon-normal distributionsUnivariate linear regression modelsNonparametric tolerance intervalsThe one-way random model with balanced dataThe multivariate normal distributionThe one-way random model with unbalanced dataThe multivariate linear regression modelGeneral mixed modelsBayesian tolerance intervalsA final chapter contains coverage of miscellaneous topics including tolerance limits for a ratio of normal random variables, sample size determination, reference limits and coverage intervals, tolerance intervals for binomial and Poisson distributions, and tolerance intervals based on censored samples. Theoretical explanations are accompanied by computational algorithms that can be easily replicated by readers, and each chapter contains exercise sets for reinforcement of the presented material. Detailed appendices provide additional data sets and extensive tables of univariate and multivariate tolerance factors.Statistical Tolerance Regions is an ideal book for courses on tolerance intervals at the graduate level. It is also a valuable reference and resource for applied statisticians, researchers, and practitioners in industry and pharmaceutical companies.
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This is the most complete reliability book that I have seen. It is appropriate as both a textbook and a reference. It is well-written and easy to understand. I highly recommend this book for anybody interested in learning reliability theory.
A modern and comprehensive treatment of tolerance intervals and regionsThe topic of tolerance intervals and tolerance regions has undergone significant growth during recent years, with applications arising in various areas such as quality control, industry, and environmental monitoring. Statistical
In modern society, we are ever more aware of the environmental issues we face, whether these relate to global warming, depletion of rivers and oceans, despoliation of forests, pollution of land, poor air quality, environmental health issues, etc. At the most fundamental level it is necessary to moni
The most accessible introduction to the theory and practice of multivariate analysisMultivariate Statistical Inference and Applications is a user-friendly introduction to basic multivariate analysis theory and practice for statistics majors as well as nonmajors with little or no background in theore