Weibull Models 1st Edition by Prabhakar Murthy, Min Xie, Renyan Jiang 0471360929 9780471360926

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ISBN 10: 0471360929 

ISBN 13: 9780471360926

Author: D. N. Prabhakar Murthy, Min Xie, Renyan Jiang

The literature on Weibull models is vast, disjointed, andscattered across many different journals. Weibull Models is acomprehensive guide that integrates all the different facets ofWeibull models in a single volume.

This book will be of great help to practitioners in reliabilityand other disciplines in the context of modeling data sets usingWeibull models. For researchers interested in these modelingtechniques, exercises at the end of each chapter define potentialtopics for future research.

Organized into seven distinct parts, Weibull Models:
* Covers model analysis, parameter estimation, model validation,and application
* Serves as both a handbook and a research monograph. As ahandbook, it classifies the different models and presents theirproperties. As a research monograph, it unifies the literature andpresents the results in an integrated manner
* Intertwines theory and application
* Focuses on model identification prior to model parameterestimation
* Discusses the usefulness of the Weibull Probability plot (WPP)in the model selection to model a given data set
* Highlights the use of Weibull models in reliability theory

Filled with in-depth analysis, Weibull Models pulls together themost relevant information on this topic to give everyone fromreliability engineers to applied statisticians involved withreliability and survival analysis a clear look at what Weibullmodels can offer.

Weibull Models 1st Table of contents:

PART A: Overview
Chapter 1: Overview
Introduction
Illustrative Problems
Empirical Modeling Methodology
Weibull Models
Weibull Model Selection
Applications of Weibull Models
Outline of the Book
Notes
Exercises

Chapter 2: Taxonomy for Weibull Models
Introduction
Taxonomy for Weibull Models
Type I Models: Transformation of Weibull Variable
Type II Models: Modification/Generalization of Weibull Distribution
Type III Models: Models Involving Two or More Distributions
Type IV Models: Weibull Models with Varying Parameters
Type V Models: Discrete Weibull Models
Type VI Models: Multivariate Weibull Models
Type VII Models: Stochastic Point Process Models
Exercises

PART B: Basic Weibull Model
Chapter 3: Model Analysis
Introduction
Basic Concepts
Standard Weibull Model
Three-Parameter Weibull Model
Notes
Exercises

Chapter 4: Parameter Estimation
Introduction
Data Types
Estimation: An Overview
Estimation Methods and Estimators
Two-Parameter Weibull Model: Graphical Methods
Standard Weibull Model: Statistical Methods
Three-Parameter Weibull Model
Exercises

Chapter 5: Model Selection and Validation
Introduction
Graphical Methods
Goodness-of-Fit Tests
Model Discrimination
Model Validation
Two-Parameter Weibull Model
Three-Parameter Weibull Model
Exercises

PART C: Types I and II Models
Chapter 6: Type I Weibull Models
Introduction
Model I(a)-3: Reflected Weibull Distribution
Model I(a)-4: Double Weibull Distribution
Model I(b)-1: Power Law Transformation
Model I(b)-2: Log Weibull Transformation
Model I(b)-3: Inverse Weibull Distribution
Exercises

Chapter 7: Type II Weibull Models
Introduction
Model II(a)-1: Pseudo-Weibull Distribution
Model II(a)-2: Stacy–Mihram Model
Model II(b)-1: Extended Weibull Distribution
Model II(b)-2: Exponentiated Weibull Distribution
Model II(b)-3: Modified Weibull Distribution
Models II(b)4–6: Generalized Weibull Family
Model II(b)-7: Three-Parameter Generalized Gamma
Model II(b)-8: Extended Generalized Gamma
Models II(b)9–10: Four- and Five-Parameter Weibulls
Model II(b)-11: Truncated Weibull Distribution
Model II(b)-12: Slymen–Lachenbruch Distributions
Model II(b)-13: Weibull Extension
Exercises

PART D: Type III Models
Chapter 8: Type III(a) Weibull Models
Introduction
Model III(a)-1: Weibull Mixture Model
Model III(a)-2: Inverse Weibull Mixture Model
Model III(a)-3: Hybrid Weibull Mixture Models
Notes
Exercises

Chapter 9: Type III(b) Weibull Models
Introduction
Model III(b)-1: Weibull Competing Risk Model
Model III(b)-2: Inverse Weibull Competing Risk Model
Model III(b)-3: Hybrid Weibull Competing Risk Model
Model III(b)-4: Generalized Competing Risk Model
Exercises

Chapter 10: Type III(c) Weibull Models
Introduction
Model III(c)-1: Multiplicative Weibull Model
Model III(c)-2: Inverse Weibull Multiplicative Model
Exercises

Chapter 11: Type III(d) Weibull Models
Introduction
Analysis of Weibull Sectional Models
Parameter Estimation
Modeling Data Set
Applications
Exercises

PART E: Types IV to VII Models
Chapter 12: Type IV Weibull Models
Introduction
Type IV(a) Models
Type IV(b) Models: Accelerated Failure Time (AFT) Models
Type IV(c) Models: Proportional Hazard (PH) Models
Model IV(d)-1
Type IV(e) Models: Random Parameters
Bayesian Approach to Parameter Estimation
Exercises

Chapter 13: Type V Weibull Models
Introduction
Concepts and Notation
Model V-1
Model V-2
Model V-3
Model V-4
Exercises

Chapter 14: Type VI Weibull Models (Multivariate Models)
Introduction
Some Preliminaries and Model Classification
Bivariate Models
Multivariate Models
Other Models
Exercises

Chapter 15: Type VII Weibull Models
Introduction
Model Formulations
Model VII(a)-1: Power Law Process
Model VII(a)-2: Modulated Power Law Process
Model VII(a)-3: Proportional Intensity Model
Model VII(b)-1: Ordinary Weibull Renewal Process
Model VII(b)-2: Delayed Renewal Process
Model VII(b)-3: Alternating Renewal Process
Model VII(c): Power Law–Weibull Renewal Process
Exercises

PART F: Weibull Modeling of Data
Chapter 16: Weibull Modeling of Data
Introduction
Data-Related Issues
Preliminary Model Selection and Parameter Estimation
Final Model Selection, Parameter Estimation, and Model Validation
Case Studies
Conclusions
Exercises

PART G: Applications in Reliability
Chapter 17: Modeling Product Failures
Introduction
Some Basic Concepts
Product Structure
Modeling Failures
Component-Level Modeling (Black-Box Approach)
Component-Level Modeling (White-Box Approach)
Component-Level Modeling (Gray-Box Approach)
System-Level Modeling (Black-Box Approach)
System-Level Modeling (White-Box Approach)

Chapter 18: Product Reliability and Weibull Models
Introduction
Premanufacturing Phase
Manufacturing Phase
Postsale Phase
Decision Models Involving Weibull Failure Models

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