LEADER 05456nam 2200697Ia 450 001 9911020027603321 005 20200520144314.0 010 $a9786612114120 010 $a9781282114128 010 $a1282114123 010 $a9780470473900 010 $a0470473908 010 $a9780470473894 010 $a0470473894 035 $a(CKB)1000000000773820 035 $a(EBL)448848 035 $a(OCoLC)435660012 035 $a(SSID)ssj0000251150 035 $a(PQKBManifestationID)11206757 035 $a(PQKBTitleCode)TC0000251150 035 $a(PQKBWorkID)10247737 035 $a(PQKB)10533492 035 $a(MiAaPQ)EBC448848 035 $a(Perlego)2776056 035 $a(EXLCZ)991000000000773820 100 $a20081029d2009 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aStatistical tolerance regions $etheory, applications, and computation /$fK. Krishnamoorthy, Thomas Mathew 210 $aHoboken, NJ $cWiley$dc2009 215 $a1 online resource (494 p.) 225 1 $aWiley series in probability and statistics 300 $aDescription based upon print version of record. 311 08$a9780470380260 311 08$a0470380268 320 $aIncludes bibliographical references and index. 327 $aSTATISTICAL 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 327 $a2.2 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 327 $a2.4.4 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 327 $a3.3 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 (?, ??2 + ?e2); 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 327 $a4.3.7 One-sided Tolerance Limits When the Variance Ratio Is Known4.4 One-sided Tolerance Limits for N (?, ??2); 4.5 Two-sided Tolerance Intervals for N (?, ??2 + ?e2); 4.5.1 Mee's Approach; 4.5.2 The Liao-Lin-Iyer Approach; 4.6 Two-sided Tolerance Intervals for N (?, ??2); 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 (?, ??2 + ?e2); 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 327 $a5.4 One-sided Tolerance Limits for N (?, ??2) 330 $aA modern and comprehensive treatment of tolerance intervals and regions The topic of tolerance intervals and tolerance regions has undergone significant growth during recent years, with applications arising in various areas such as quality control, industry, and environmental monitoring. Statistical Tolerance Regions presents the theoretical development of tolerance intervals and tolerance regions through computational algorithms and the illustration of numerous practical uses and examples. This is the first book of its kind to successfully balance theory and practice, providin 410 0$aWiley series in probability and statistics. 606 $aStatistical tolerance regions 606 $aMathematical statistics 615 0$aStatistical tolerance regions. 615 0$aMathematical statistics. 676 $a519.5 700 $aKrishnamoorthy$b K$g(Kalimuthu)$01838507 701 $aMathew$b Thomas$f1955-$01446154 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9911020027603321 996 $aStatistical tolerance regions$94417481 997 $aUNINA