The Birnbaum-Saunders Distribution

The Birnbaum-Saunders Distribution

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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.
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Product details

  • Paperback | 154 pages
  • 152 x 229 x 10.16mm | 180g
  • Academic Press Inc
  • San Diego, United States
  • English
  • 0128037695
  • 9780128037690

Table of contents

1 Genesis

1.1 Introduction

1.2 History

1.3 Fatigue, genesis and derivation

1.4 Applications

2 Characterizations

2.1 Introduction

2.2 Probability functions and properties

2.3 Characteristic function and moments

2.4 Generation of random numbers

3 Inference

3.1 Introduction

3.2 Maximum likelihood estimation method

3.3 Moment estimation method

3.4 Graphical estimation method

4 Modelling

4.1 Introduction

4.2 The logarithmic Birnbaum-Saunders distribution

4.3 Regression models

4.4 Diagnostics methods

5 Data analysis and fitting

5.1 Introduction

5.2 Goodness-of-fit based on moments

5.3 Goodness-of-fit based on probability plots

5.4 Data analysis
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Review quote

" 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, The Birnbaum-Saunders Distribution
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