Statistical tolerance regions : theory, applications, and computation / / K. Krishnamoorthy, Thomas Mathew

• Autore: Krishnamoorthy K (Kalimuthu)
• Pubblicazione: Hoboken, NJ, : Wiley, c2009
• Descrizione fisica: 1 online resource (494 p.)
• Disciplina: 519.5
• Soggetto topico: Statistical tolerance regions; Mathematical statistics
• Altri autori: MathewThomas <1955->
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: STATISTICAL TOLERANCE REGIONS: Theory, Applications, and Computation; Contents; List of Tables; Preface; Chapter 1. Preliminaries; 1.1 Introduction; 1.1.1 One-sided Tolerance Intervals; 1.1.2 Tolerance Intervals; 1.1.3 Survival Probability and Stress-Strength Reliability; 1.2 Some Technical Results; 1.3 The Modified Large Sample (MLS) Procedure; 1.4 The Generalized P-value and Generalized Confidence Interval; 1.4.1 Description; 1.4.2 GPQs for a Location-Scale Family; 1.4.3 Some Examples; 1.5 Exercises; Chapter 2. Univariate Normal Distribution; 2.1 Introduction ; 2.2 One-sided Tolerance Limits for a Normal Population2.3 Two-sided Tolerance Intervals; 2.3.1 Tolerance Intervals; 2.3.2 Equal-Tailed Tolerance Intervals for a Normal Distribution; 2.3.3 Simultaneous Hypothesis Testing about Normal Quantiles; 2.4 Tolerance Limits for X1 - X2; 2.4.1 Exact One-sided Tolerance Limits for the Distribution of X1 - X2 When the Variance Ratio Is Known; 2.4.2 One-sided Tolerance Limits for the Distribution of X1 - X2 When the Variance Ratio Is Unknown; 2.4.3 Hypothesis Testing About the Quantiles of X1 - X2 ; 2.4.4 Comparison of the Approximate Methods for Making Inference about Quantiles of X1 - X22.4.5 Applications of Tolerance Limits for X1 - X2 with Examples; 2.5 Simultaneous Tolerance Limits for Normal Populations; 2.5.1 Simultaneous One-sided Tolerance Limits; 2.5.2 Simultaneous Tolerance Intervals; 2.6 Exercises; Chapter 3. Univariate Linear Regression Model; 3.1 Notations and Preliminaries; 3.2 One-sided Tolerance Intervals and Simultaneous Tolerance Intervals; 3.2.1 One-sided Tolerance Intervals; 3.2.2 One-sided Simultaneous Tolerance Intervals ; 3.3 Two-sided Tolerance Intervals and Simultaneous Tolerance Intervals3.3.1 Two-sided Tolerance Intervals; 3.3.2 Two-sided Simultaneous Tolerance Intervals; 3.4 The Calibration Problem; 3.5 Exercises; Chapter 4. The One-way Random Model with Balanced Data; 4.1 Notations and Preliminaries; 4.2 Two Examples; 4.3 One-sided Tolerance Limits for N (μ, στ2 + σe2); 4.3.1 The Mee-Owen Approach; 4.3.2 Vangel's Approach; 4.3.3 The Krishnamoorthy-Mathew Approach; 4.3.4 Comparison of Tolerance Limits; 4.3.5 Examples; 4.3.6 One-sided Confidence Limits for Exceedance Probabilities ; 4.3.7 One-sided Tolerance Limits When the Variance Ratio Is Known4.4 One-sided Tolerance Limits for N (μ, στ2); 4.5 Two-sided Tolerance Intervals for N (μ, στ2 + σe2); 4.5.1 Mee's Approach; 4.5.2 The Liao-Lin-Iyer Approach; 4.6 Two-sided Tolerance Intervals for N (μ, στ2); 4.7 Exercises; Chapter 5. The One-way Random Model with Unbalanced Data; 5.1 Notations and Preliminaries; 5.2 Two Examples; 5.3 One-sided Tolerance Limits for N (μ, στ2 + σe2); 5.3.1 The Krishnamoorthy and Mathew Approach; 5.3.2 The Liao, Lin and Iyer Approach; 5.3.3 One-sided Confidence Limits for Exceedance Probabilities ; 5.4 One-sided Tolerance Limits for N (μ, στ2)
• Sommario/riassunto: A modern and comprehensive treatment of tolerance intervals and regions The 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, providin
• Titolo autorizzato: Statistical tolerance regions
• ISBN: 9786612114120; 9781282114128; 1282114123; 9780470473900; 0470473908; 9780470473894; 0470473894
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9911020027603321
• Lo trovi qui: Univ. Federico II
• Serie: Wiley series in probability and statistics.