The Birnbaum-Saunders Distribution

The Birnbaum-Saunders Distribution

1st Edition - October 22, 2015

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  • Author: Victor Leiva
  • Paperback ISBN: 9780128037690
  • eBook ISBN: 9780128038277

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Description

The Birnbaum-Saunders Distribution presents the statistical theory, methodology, and applications of the Birnbaum-Saunders distribution, a very flexible distribution for modeling different types of data (mainly lifetime data). The book describes the most recent theoretical developments of this model, including properties, transformations and related distributions, lifetime analysis, and shape analysis. It discusses methods of inference based on uncensored and censored data, goodness-of-fit tests, and random number generation algorithms for the Birnbaum-Saunders distribution, also presenting existing and future applications.

Key Features

  • Introduces inference in the Birnbaum-Saunders distribution
  • Provides a comprehensive review of the statistical theory and methodology of the Birnbaum-Distribution
  • Discusses different applications of the Birnbaum-Saunders distribution
  • Explains characterization and the lifetime analysis

Readership

Graduate engineering students, practicing engineers, quality engineers, reliability engineers, consultants

Table of Contents

  • Chapter 1: Genesis of the Birnbaum–Saunders Distribution

    • Abstract
    • 1.1 Introduction
    • 1.2 History
    • 1.3 Fatigue, genesis, and derivation
    • 1.4 Applications

    Chapter 2: Characterizations of the Birnbaum–Saunders Distribution

    • Abstract
    • 2.1 Introduction
    • 2.2 Probability functions and properties
    • 2.3 Characteristic function and moments
    • 2.4 Generation of random numbers

    Chapter 3: Inference for the Birnbaum–Saunders Distribution

    • Abstract
    • 3.1 Introduction
    • 3.2 Maximum likelihood estimation method
    • 3.3 Moment estimation method
    • 3.4 Graphical estimation method

    Chapter 4: Modeling Based on the Birnbaum–Saunders Distribution

    • Abstract
    • 4.1 Introduction
    • 4.2 The log-Birnbaum–Saunders distribution
    • 4.3 Regression models
    • 4.4 Diagnostic methods

    Chapter 5: Goodness of Fit for the Birnbaum–Saunders Distribution

    • Abstract
    • 5.1 Introduction
    • 5.2 Goodness of fit based on moments
    • 5.3 Model selection
    • 5.4 Probability plots

    Chapter 6: Data Analyses with the Birnbaum–Saunders Distribution

    • Abstract
    • 6.1 Introduction
    • 6.2 Data sets
    • 6.3 Software
    • 6.4 Modeling and diagnostics with real-world data

Product details

  • No. of pages: 154
  • Language: English
  • Copyright: © Academic Press 2015
  • Published: October 22, 2015
  • Imprint: Academic Press
  • Paperback ISBN: 9780128037690
  • eBook ISBN: 9780128038277

About the Author

Victor Leiva

Affiliations and Expertise

Faculty of Engineering and Sciences, Adolfo Ibáñez University, Chile

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