{"product_id":"statistical-tolerance-regions-9780470380260","title":"Statistical Tolerance Regions","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cb\u003eA modern and comprehensive treatment of tolerance intervals and regions\u003c\/b\u003e  \u003cp\u003eThe 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. \u003ci\u003eStatistical Tolerance Regions\u003c\/i\u003e 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.\u003c\/p\u003e \u003cp\u003eThe 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:\u003c\/p\u003e \u003cul\u003e \u003cli\u003eUnivariate normal distribution\u003c\/li\u003e \u003cli\u003eNon-normal distributions\u003c\/li\u003e \u003cli\u003eUnivari\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eList of Tables.  \u003cp\u003ePreface.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Preliminaries.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Introduction.\u003c\/p\u003e \u003cp\u003e1.2 Some Technical Results.\u003c\/p\u003e \u003cp\u003e1.3 The Modified Large Sample (MLS) Procedure.\u003c\/p\u003e \u003cp\u003e1.4 The Generalized P-value and Generalized Confidence Interval.\u003c\/p\u003e \u003cp\u003e1.5 Exercises.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Univariate Normal Distribution.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Introduction.\u003c\/p\u003e \u003cp\u003e2.2 One-Sided Tolerance Limits for a Normal Population.\u003c\/p\u003e \u003cp\u003e2.3 Two-Sided Tolerance Intervals.\u003c\/p\u003e \u003cp\u003e2.4 Tolerance Limits for X\u003csub\u003e1\u003c\/sub\u003e - X\u003csub\u003e2\u003c\/sub\u003e.\u003c\/p\u003e \u003cp\u003e2.5 Simultaneous Tolerance Limits for Normal Populations. \u003c\/p\u003e \u003cp\u003e2.6 Exercises.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Univariate Linear Regression Model.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Notations and Preliminaries.\u003c\/p\u003e \u003cp\u003e3.2 One-Sided Tolerance Intervals and Simultaneous Tolerance Intervals.\u003c\/p\u003e \u003cp\u003e3.3 Two-sided Tolerance Intervals and Simultaneous Tolerance Intervals.\u003c\/p\u003e \u003cp\u003e3.4 The Calibration Problem.\u003c\/p\u003e \u003cp\u003e3.5 Exercises.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 The One-Way Random Model with Balanced Data.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Notations and Preliminaries.\u003c\/p\u003e \u003cp\u003e4.2 Two Examples.\u003c\/p\u003e \u003cp\u003e4.3 One-Sided Tolerance Limits for N(µ, σ²τ + σ²τ\u003csub\u003ee)\u003c\/sub\u003e.\u003c\/p\u003e \u003cp\u003e4.4 One-Sided Tolerance Limits for N(µ, σ²τ¨).\u003c\/p\u003e \u003cp\u003e4.5 Two-Sided Tolerance Intervals for N(µ, σ²τ + σ²τ\u003csub\u003ee\u003c\/sub\u003e).\u003c\/p\u003e \u003cp\u003e4.6 Two-Sided Tolerance Intervals for N(µ, σ²τ¨).\u003c\/p\u003e \u003cp\u003e4.7 Exercises.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 The One-Way Random Model with Unbalanced Data.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Notations and Preliminaries.\u003c\/p\u003e \u003cp\u003e5.2 Two Examples.\u003c\/p\u003e \u003cp\u003e5.3 One-Sided Tolerance Limits for N(µ, σ²τ + σ²\u003csub\u003ee\u003c\/sub\u003e).\u003c\/p\u003e \u003cp\u003e5.4 One-Sided Tolerance Limits for N(µ, σ²τ).\u003c\/p\u003e \u003cp\u003e5.5 Two-Sided Tolerance Intervals.\u003c\/p\u003e \u003cp\u003e5.6 Exercises.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Some General Mixed Models.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Notations and Preliminaries.\u003c\/p\u003e \u003cp\u003e6.2 Some Examples.\u003c\/p\u003e \u003cp\u003e6.3 Tolerance Intervals in a General Setting.\u003c\/p\u003e \u003cp\u003e6.4 A General Model with Two Variance Components.\u003c\/p\u003e \u003cp\u003e6.5 A One-Way Random Model with Covariates and Unequal Variances.\u003c\/p\u003e \u003cp\u003e6.5 Testing Individual Bioequivalence.\u003c\/p\u003e \u003cp\u003e6.6 Exercises.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Some Non-Normal Distributions.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Introduction.\u003c\/p\u003e \u003cp\u003e7.2 Lognormal Distribution.\u003c\/p\u003e \u003cp\u003e7.3 Gamma Distribution.\u003c\/p\u003e \u003cp\u003e7.4 Two-Parameter Exponential Distribution.\u003c\/p\u003e \u003cp\u003e7.5 Weibull Distribution.\u003c\/p\u003e \u003cp\u003e7.6 Exercises.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Nonparametric Tolerance Intervals.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Notations and Preliminaries.\u003c\/p\u003e \u003cp\u003e8.2 Order Statistics and Their Distributions.\u003c\/p\u003e \u003cp\u003e8.3 One-Sided Tolerance Limits and Exceedance Probabilities.\u003c\/p\u003e \u003cp\u003e8.4 Tolerance Intervals.\u003c\/p\u003e \u003cp\u003e8.5 Confidence Intervals for Population Quantiles.\u003c\/p\u003e \u003cp\u003e8.6 Sample Size Calculation.\u003c\/p\u003e \u003cp\u003e8.7 Nonparametric Multivariate Tolerance Regions.\u003c\/p\u003e \u003cp\u003e8.8 Exercises.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 The Multivariate Normal Distribution.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Introduction.\u003c\/p\u003e \u003cp\u003e9.2 Notations and Preliminaries.\u003c\/p\u003e \u003cp\u003e9.3 Some Approximate Tolerance Factors.\u003c\/p\u003e \u003cp\u003e9.4 Methods Based on Monte Carlo Simulation.\u003c\/p\u003e \u003cp\u003e9.5 Simultaneous Tolerance Intervals.\u003c\/p\u003e \u003cp\u003e9.6 Tolerance Regions for Some Special Cases.\u003c\/p\u003e \u003cp\u003e9.7 Exercises.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 The Multivariate Linear Regression Model.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Preliminaries.\u003c\/p\u003e \u003cp\u003e10.2 Approximations for the Tolerance Factor.\u003c\/p\u003e \u003cp\u003e10.3 Accuracy of the Approximate Tolerance Factors.\u003c\/p\u003e \u003cp\u003e10.4 Methods Based on Monte Carlo Simulation.\u003c\/p\u003e \u003cp\u003e10.5 Application to the Example.\u003c\/p\u003e \u003cp\u003e10.6 Multivariate Calibration.\u003c\/p\u003e \u003cp\u003e10.7 Exercises.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Bayesian Tolerance Intervals.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Notations and Preliminaries.\u003c\/p\u003e \u003cp\u003e11.2 The Univariate Normal Distribution.\u003c\/p\u003e \u003cp\u003e11.3 The One-Way Random Model With Balanced Data.\u003c\/p\u003e \u003cp\u003e11.4 Two Examples.\u003c\/p\u003e \u003cp\u003e11.5 Exercises.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Miscellaneous Topics.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Introduction.\u003c\/p\u003e \u003cp\u003e12.2 β-Expectation Tolerance Regions.\u003c\/p\u003e \u003cp\u003e12.3 Tolerance Limits for a Ratio of Normal Random Variables.\u003c\/p\u003e \u003cp\u003e12.4 Sample Size Determination.\u003c\/p\u003e \u003cp\u003e12.5 Reference Limits and Coverage Intervals.\u003c\/p\u003e \u003cp\u003e12.6 Tolerance Intervals for Binomial and Poisson Distributions.\u003c\/p\u003e \u003cp\u003e12.7 Tolerance Intervals Based on Censored Samples.\u003c\/p\u003e \u003cp\u003e12.8 Exercises.\u003c\/p\u003e \u003cp\u003eAppendix A: Data Sets.\u003c\/p\u003e \u003cp\u003eAppendix B: Tables.\u003c\/p\u003e \u003cp\u003eReferences.\u003c\/p\u003e \u003cp\u003eIndex.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default 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