{"product_id":"weibull-models-358-wiley-series-in-probability-and-statistics-9780471360926","title":"Weibull Models 358 Wiley Series in Probability and Statistics","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eCovers model analysis, parameter estimation, model validation, and application. This work also classifies the different models and their properties; intertwines theory and application; and focuses on model identification prior to model parameter estimation.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"...valuable to readers seeking an overview of Weibull modelsand...a valuable contribution to libraries...\" (Journalof the American Statistical Association, September 2005)\u003cbr\u003e \u003cbr\u003e \"...may serve as a handbook in research andteaching...\" (Zentralblatt Math, Vol.1047, No.22,2004)\u003cbr\u003e \u003cbr\u003e \"The book is generally well written and easy to read. It couldserve as a useful reference to practitioners...andresearchers.\" (Technometrics, November 2004)\u003cbr\u003e \u003cbr\u003e \"The literature of Weibull models is vast, disjointed, andscattered across many different journals. There are a couple ofbooks devoted solely to the Weibull distribution, but these areoriented toward training and\/or consulting purposes. There is nobook that deals with the different Weibull models in an integratedmanner. This book fills that gap.\" (Mathematical Reviews,Issue 2004h)\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003ePreface xiii\u003cbr\u003e\u003cbr\u003e\u003cb\u003ePART A OVERVIEW 1\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eChapter 1 Overview 3\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e1.1 Introduction 3\u003c\/p\u003e \u003cp\u003e1.2 Illustrative Problems 5\u003c\/p\u003e \u003cp\u003e1.3 Empirical Modeling Methodology 7\u003c\/p\u003e \u003cp\u003e1.4 Weibull Models 9\u003c\/p\u003e \u003cp\u003e1.5 Weibull Model Selection 11\u003c\/p\u003e \u003cp\u003e1.6 Applications of Weibull Models 12\u003c\/p\u003e \u003cp\u003e1.7 Outline of the Book 15\u003c\/p\u003e \u003cp\u003e1.8 Notes 16\u003c\/p\u003e \u003cp\u003eExercises 16\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 2 Taxonomy for Weibull Models 18\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Introduction 18\u003c\/p\u003e \u003cp\u003e2.2 Taxonomy for Weibull Models 18\u003c\/p\u003e \u003cp\u003e2.3 Type I Models: Transformation of Weibull Variable 21\u003c\/p\u003e \u003cp\u003e2.4 Type II Models: Modification\/Generalization of Weibull Distribution 23\u003c\/p\u003e \u003cp\u003e2.5 Type III Models: Models Involving Two or More Distributions 28\u003c\/p\u003e \u003cp\u003e2.6 Type IV Models: Weibull Models with Varying Parameters 30\u003c\/p\u003e \u003cp\u003e2.7 Type V Models: Discrete Weibull Models 33\u003c\/p\u003e \u003cp\u003e2.8 Type VI Models: Multivariate Weibull Models 34\u003c\/p\u003e \u003cp\u003e2.9 Type VII Models: Stochastic Point Process Models 37\u003c\/p\u003e \u003cp\u003eExercises 39\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePART B BASIC WEIBULL MODEL 43\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 3 Model Analysis 45\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Introduction 45\u003c\/p\u003e \u003cp\u003e3.2 Basic Concepts 45\u003c\/p\u003e \u003cp\u003e3.3 Standard Weibull Model 50\u003c\/p\u003e \u003cp\u003e3.4 Three-Parameter Weibull Model 54\u003c\/p\u003e \u003cp\u003e3.5 Notes 55\u003c\/p\u003e \u003cp\u003eExercises 56\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 4 Parameter Estimation 58\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Introduction 58\u003c\/p\u003e \u003cp\u003e4.2 Data Types 58\u003c\/p\u003e \u003cp\u003e4.3 Estimation: An Overview 60\u003c\/p\u003e \u003cp\u003e4.4 Estimation Methods and Estimators 61\u003c\/p\u003e \u003cp\u003e4.5 Two-Parameter Weibull Model: Graphical Methods 65\u003c\/p\u003e \u003cp\u003e4.6 Standard Weibull Model: Statistical Methods 67\u003c\/p\u003e \u003cp\u003e4.7 Three-Parameter Weibull Model 74\u003c\/p\u003e \u003cp\u003eExercises 82\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 5 Model Selection and Validation 85\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Introduction 85\u003c\/p\u003e \u003cp\u003e5.2 Graphical Methods 86\u003c\/p\u003e \u003cp\u003e5.3 Goodness-of-Fit Tests 89\u003c\/p\u003e \u003cp\u003e5.4 Model Discrimination 93\u003c\/p\u003e \u003cp\u003e5.5 Model Validation 94\u003c\/p\u003e \u003cp\u003e5.6 Two-Parameter Weibull Model 95\u003c\/p\u003e \u003cp\u003e5.7 Three-Parameter Weibull Model 99\u003c\/p\u003e \u003cp\u003eExercises 100\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePART C TYPES I AND II MODELS 103\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 6 Type I Weibull Models 105\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Introduction 105\u003c\/p\u003e \u003cp\u003e6.2 Model I(a)-3: Reflected Weibull Distribution 106\u003c\/p\u003e \u003cp\u003e6.3 Model I(a)-4: Double Weibull Distribution 108\u003c\/p\u003e \u003cp\u003e6.4 Model I(b)-1: Power Law Transformation 109\u003c\/p\u003e \u003cp\u003e6.5 Model I(b)-2: Log Weibull Transformation 111\u003c\/p\u003e \u003cp\u003e6.6 Model I(b)-3: Inverse Weibull Distribution 114\u003c\/p\u003e \u003cp\u003eExercises 119\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 7 Type II Weibull Models 121\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Introduction 121\u003c\/p\u003e \u003cp\u003e7.2 Model II(a)-1: Pseudo-Weibull Distribution 122\u003c\/p\u003e \u003cp\u003e7.3 Model II(a)-2: Stacy–Mihram Model 124\u003c\/p\u003e \u003cp\u003e7.4 Model II(b)-1: Extended Weibull Distribution 125\u003c\/p\u003e \u003cp\u003e7.5 Model II(b)-2: Exponentiated Weibull Distribution 127\u003c\/p\u003e \u003cp\u003e7.6 Model II(b)-3: Modified Weibull Distribution 134\u003c\/p\u003e \u003cp\u003e7.7 Models II(b)4–6: Generalized Weibull Family 138\u003c\/p\u003e \u003cp\u003e7.8 Model II(b)-7: Three-Parameter Generalized Gamma 140\u003c\/p\u003e \u003cp\u003e7.9 Model II(b)-8: Extended Generalized Gamma 143\u003c\/p\u003e \u003cp\u003e7.10 Models II(b)9–10: Four- and Five-Parameter Weibulls 145\u003c\/p\u003e \u003cp\u003e7.11 Model II(b)-11: Truncated Weibull Distribution 146\u003c\/p\u003e \u003cp\u003e7.12 Model II(b)-12: Slymen–Lachenbruch Distributions 148\u003c\/p\u003e \u003cp\u003e7.13 Model II(b)-13: Weibull Extension 151\u003c\/p\u003e \u003cp\u003eExercises 154\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePART D TYPE III MODELS 157\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 8 Type III(a) Weibull Models 159\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Introduction 159\u003c\/p\u003e \u003cp\u003e8.2 Model III(a)-1: Weibull Mixture Model 160\u003c\/p\u003e \u003cp\u003e8.3 Model III(a)-2: Inverse Weibull Mixture Model 176\u003c\/p\u003e \u003cp\u003e8.4 Model III(a)-3: Hybrid Weibull Mixture Models 179\u003c\/p\u003e \u003cp\u003e8.5 Notes 179\u003c\/p\u003e \u003cp\u003eExercises 180\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 9 Type III(b) Weibull Models 182\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Introduction 182\u003c\/p\u003e \u003cp\u003e9.2 Model III(b)-1: Weibull Competing Risk Model 183\u003c\/p\u003e \u003cp\u003e9.3 Model III(b)-2: Inverse Weibull Competing Risk Model 190\u003c\/p\u003e \u003cp\u003e9.4 Model III(b)-3: Hybrid Weibull Competing Risk Model 191\u003c\/p\u003e \u003cp\u003e9.5 Model III(b)-4: Generalized Competing Risk Model 192\u003c\/p\u003e \u003cp\u003eExercises 195\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 10 Type III(c) Weibull Models 197\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Introduction 197\u003c\/p\u003e \u003cp\u003e10.2 Model III(c)-1: Multiplicative Weibull Model 198\u003c\/p\u003e \u003cp\u003e10.3 Model III(c)-2: Inverse Weibull Multiplicative Model 203\u003c\/p\u003e \u003cp\u003eExercises 206\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 11 Type III(d) Weibull Models 208\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Introduction 208\u003c\/p\u003e \u003cp\u003e11.2 Analysis of Weibull Sectional Models 210\u003c\/p\u003e \u003cp\u003e11.3 Parameter Estimation 216\u003c\/p\u003e \u003cp\u003e11.4 Modeling Data Set 219\u003c\/p\u003e \u003cp\u003e11.5 Applications 219\u003c\/p\u003e \u003cp\u003eExercises 220\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePART E TYPES IV TO VII MODELS 221\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 12 Type IV Weibull Models 223\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Introduction 223\u003c\/p\u003e \u003cp\u003e12.2 Type IV(a) Models 224\u003c\/p\u003e \u003cp\u003e12.3 Type IV(b) Models: Accelerated Failure Time (AFT) Models 225\u003c\/p\u003e \u003cp\u003e12.4 Type IV(c) Models: Proportional Hazard (PH) Models 229\u003c\/p\u003e \u003cp\u003e12.5 Model IV(d)-1 231\u003c\/p\u003e \u003cp\u003e12.6 Type IV(e) Models: Random Parameters 232\u003c\/p\u003e \u003cp\u003e12.7 Bayesian Approach to Parameter Estimation 236\u003c\/p\u003e \u003cp\u003eExercises 236\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 13 Type V Weibull Models 238\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Introduction 238\u003c\/p\u003e \u003cp\u003e13.2 Concepts and Notation 238\u003c\/p\u003e \u003cp\u003e13.3 Model V-1 239\u003c\/p\u003e \u003cp\u003e13.4 Model V-2 242\u003c\/p\u003e \u003cp\u003e13.5 Model V-3 243\u003c\/p\u003e \u003cp\u003e13.6 Model V-4 244\u003c\/p\u003e \u003cp\u003eExercises 245\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 14 Type VI Weibull Models (Multivariate Models) 247\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e14.1 Introduction 247\u003c\/p\u003e \u003cp\u003e14.2 Some Preliminaries and Model Classification 248\u003c\/p\u003e \u003cp\u003e14.3 Bivariate Models 250\u003c\/p\u003e \u003cp\u003e14.4 Multivariate Models 256\u003c\/p\u003e \u003cp\u003e14.5 Other Models 258\u003c\/p\u003e \u003cp\u003eExercises 258\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 15 Type VII Weibull Models 261\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e15.1 Introduction 261\u003c\/p\u003e \u003cp\u003e15.2 Model Formulations 261\u003c\/p\u003e \u003cp\u003e15.3 Model VII(a)-1: Power Law Process 265\u003c\/p\u003e \u003cp\u003e15.4 Model VII(a)-2: Modulated Power Law Process 272\u003c\/p\u003e \u003cp\u003e15.5 Model VII(a)-3: Proportional Intensity Model 273\u003c\/p\u003e \u003cp\u003e15.6 Model VII(b)-1: Ordinary Weibull Renewal Process 274\u003c\/p\u003e \u003cp\u003e15.7 Model VII(b)-2: Delayed Renewal Process 277\u003c\/p\u003e \u003cp\u003e15.8 Model VII(b)-3: Alternating Renewal Process 278\u003c\/p\u003e \u003cp\u003e15.9 Model VII(c): Power Law–Weibull Renewal Process 278\u003c\/p\u003e \u003cp\u003eExercises 278\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePART F WEIBULL MODELING OF DATA 281\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 16 Weibull Modeling of Data 283\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e16.1 Introduction 283\u003c\/p\u003e \u003cp\u003e16.2 Data-Related Issues 284\u003c\/p\u003e \u003cp\u003e16.3 Preliminary Model Selection and Parameter Estimation 285\u003c\/p\u003e \u003cp\u003e16.4 Final Model Selection Parameter Estimation and Model Validation 287\u003c\/p\u003e \u003cp\u003e16.5 Case Studies 290\u003c\/p\u003e \u003cp\u003e16.6 Conclusions 299\u003c\/p\u003e \u003cp\u003eExercises 299\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePART G APPLICATIONS IN RELIABILITY 301\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 17 Modeling Product Failures 303\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e17.1 Introduction 303\u003c\/p\u003e \u003cp\u003e17.2 Some Basic Concepts 304\u003c\/p\u003e \u003cp\u003e17.3 Product Structure 306\u003c\/p\u003e \u003cp\u003e17.4 Modeling Failures 306\u003c\/p\u003e \u003cp\u003e17.5 Component-Level Modeling (Black-Box Approach) 306\u003c\/p\u003e \u003cp\u003e17.6 Component-Level Modeling (White-Box Approach) 308\u003c\/p\u003e \u003cp\u003e17.7 Component-Level Modeling (Gray-Box Approach) 312\u003c\/p\u003e \u003cp\u003e17.8 System-Level Modeling (Black-Box Approach) 313\u003c\/p\u003e \u003cp\u003e17.9 System-Level Modeling (White-Box Approach) 316\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 18 Product Reliability and Weibull Models 324\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e18.1 Introduction 324\u003c\/p\u003e \u003cp\u003e18.2 Premanufacturing Phase 325\u003c\/p\u003e \u003cp\u003e18.3 Manufacturing Phase 332\u003c\/p\u003e \u003cp\u003e18.4 Postsale Phase 336\u003c\/p\u003e \u003cp\u003e18.5 Decision Models Involving Weibull Failure Models 341\u003c\/p\u003e \u003cp\u003eReferences 348\u003c\/p\u003e \u003cp\u003eIndex 377\u003c\/p\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":53515426005335,"sku":"9780471360926","price":152.06,"currency_code":"GBP","in_stock":true}],"url":"https:\/\/bookcurl.com\/products\/weibull-models-358-wiley-series-in-probability-and-statistics-9780471360926","provider":"Book Curl","version":"1.0","type":"link"}