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The Birnbaum-Saunders Distribution - 1st Edition - ISBN: 9780128037690, 9780128038277

The Birnbaum-Saunders Distribution

1st Edition

Author: Victor Leiva
eBook ISBN: 9780128038277
Paperback ISBN: 9780128037690
Imprint: Academic Press
Published Date: 22nd October 2015
Page Count: 154
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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


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


No. of pages:
© Academic Press 2015
22nd October 2015
Academic Press
eBook ISBN:
Paperback ISBN:

About the Author

Victor Leiva

Victor Leiva

Affiliations and Expertise

Faculty of Engineering and Sciences, Adolfo Ibáñez University, Chile


" overview of the Birnbaum-Saunders distribution (also known as the fatigue-life distribution) and some of its probabilistic and statistical features, as well as its extension to regression analysis, diagnostics, and goodness of fit." --Zentralblatt MATH

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