# The Birnbaum-Saunders Distribution

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## The Birnbaum Saunders Distribution

Author | : Victor Leiva |

Publsiher | : Academic Press |

Total Pages | : 154 |

Release | : 2015-10-01 |

ISBN 10 | : 9780128037690 |

ISBN 13 | : 0128037695 |

Language | : EN, FR, DE, ES & NL |

**The Birnbaum Saunders Distribution Book Review:**

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. 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

## The Birnbaum Saunders Distribution

Author | : Victor Leiva |

Publsiher | : Academic Press |

Total Pages | : 154 |

Release | : 2015-10-26 |

ISBN 10 | : 0128038276 |

ISBN 13 | : 9780128038277 |

Language | : EN, FR, DE, ES & NL |

**The Birnbaum Saunders Distribution Book Review:**

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. 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

## Robust Estimation of the Birnbaum Saunders Distribution

Author | : Anonim |

Publsiher | : Unknown |

Total Pages | : 329 |

Release | : 1997 |

ISBN 10 | : |

ISBN 13 | : OCLC:654193296 |

Language | : EN, FR, DE, ES & NL |

**Robust Estimation of the Birnbaum Saunders Distribution Book Review:**

## Robust Estimation of the Birnbaum Saunders Distribution

Author | : Joanna E. Mills,Technical University of Nova Scotia. Department of Applied Mathematics |

Publsiher | : Unknown |

Total Pages | : 306 |

Release | : 1997 |

ISBN 10 | : |

ISBN 13 | : OCLC:229162415 |

Language | : EN, FR, DE, ES & NL |

**Robust Estimation of the Birnbaum Saunders Distribution Book Review:**

## Shortest Prediction Intervals for the Birnbaum Saunders Distribution

Author | : Zhenlin Yang |

Publsiher | : Unknown |

Total Pages | : 19 |

Release | : 1994 |

ISBN 10 | : |

ISBN 13 | : UCSD:31822018905315 |

Language | : EN, FR, DE, ES & NL |

**Shortest Prediction Intervals for the Birnbaum Saunders Distribution Book Review:**

## Estimation and Prediction for the Birnbaum Saunders Distribution Using Type II Censored Samples with a Comparison to the Inverse Gaussian Distribution

Author | : Kevin S. McCarter |

Publsiher | : Unknown |

Total Pages | : 1326 |

Release | : 1999 |

ISBN 10 | : |

ISBN 13 | : OCLC:43551185 |

Language | : EN, FR, DE, ES & NL |

**Estimation and Prediction for the Birnbaum Saunders Distribution Using Type II Censored Samples with a Comparison to the Inverse Gaussian Distribution Book Review:**

## Accelerated Test Models Using the Birnbaum Saunders Distribution

Author | : William Jason Owen |

Publsiher | : Unknown |

Total Pages | : 176 |

Release | : 1997 |

ISBN 10 | : |

ISBN 13 | : OCLC:37991092 |

Language | : EN, FR, DE, ES & NL |

**Accelerated Test Models Using the Birnbaum Saunders Distribution Book Review:**

## A Simple Method of Estimation for the Three parameter Birnbaum Saunders Distribution

Author | : Shanthi Antonyraj |

Publsiher | : Unknown |

Total Pages | : 92 |

Release | : 1996 |

ISBN 10 | : |

ISBN 13 | : OCLC:37912940 |

Language | : EN, FR, DE, ES & NL |

**A Simple Method of Estimation for the Three parameter Birnbaum Saunders Distribution Book Review:**

## Asymptotic Confidence Ellipses of Parameters for the Birnbaum Saunders Distribution

Author | : Pattaya Thonglim,Mahāwitthayālai Thammasāt. Department of Mathematics and Statistics |

Publsiher | : Unknown |

Total Pages | : 346 |

Release | : 2013 |

ISBN 10 | : |

ISBN 13 | : OCLC:872615891 |

Language | : EN, FR, DE, ES & NL |

**Asymptotic Confidence Ellipses of Parameters for the Birnbaum Saunders Distribution Book Review:**

## Maximum Likelihood Estimation for Loglinear Models for the Birnbaum Saunders Distribution

Author | : James Rieck,Jerry Nedelman,State University of New York at Albany. Department of Biometry and Statistics |

Publsiher | : Unknown |

Total Pages | : 29 |

Release | : 1990* |

ISBN 10 | : |

ISBN 13 | : OCLC:25813993 |

Language | : EN, FR, DE, ES & NL |

**Maximum Likelihood Estimation for Loglinear Models for the Birnbaum Saunders Distribution Book Review:**

## Bayesian Parameter Estimation for the Birnbaum Saunders Distribution and Its Extension

Author | : Tun Lee Ng |

Publsiher | : Unknown |

Total Pages | : 81 |

Release | : 2016 |

ISBN 10 | : |

ISBN 13 | : OCLC:956994357 |

Language | : EN, FR, DE, ES & NL |

**Bayesian Parameter Estimation for the Birnbaum Saunders Distribution and Its Extension Book Review:**

## Inferences on the Parameters of the Birnbaum Saunders Fatigue Life Distribution Based on Maximum Likelihood Estimation

Author | : Max Engelhardt,Lee J. Bain,F. T. Wright,MISSOURI UNIV-ROLLA DEPT OF MATHEMATICS. |

Publsiher | : Unknown |

Total Pages | : 7 |

Release | : 1979 |

ISBN 10 | : |

ISBN 13 | : OCLC:227506604 |

Language | : EN, FR, DE, ES & NL |

**Inferences on the Parameters of the Birnbaum Saunders Fatigue Life Distribution Based on Maximum Likelihood Estimation Book Review:**

## Statistical Analysis for the Birnbaum Saunders Fatigue Life Distribution

Author | : James R. Rieck |

Publsiher | : Unknown |

Total Pages | : 254 |

Release | : 1989 |

ISBN 10 | : |

ISBN 13 | : OCLC:19611217 |

Language | : EN, FR, DE, ES & NL |

**Statistical Analysis for the Birnbaum Saunders Fatigue Life Distribution Book Review:**

## Acceptance Sampling Plans for Inverse Gaussian Distribution and Birnbaum saunders Distribution Under Truncated Life Tests

Author | : Cheng-Ju Wu |

Publsiher | : Unknown |

Total Pages | : 102 |

Release | : 2005 |

ISBN 10 | : |

ISBN 13 | : OCLC:62979180 |

Language | : EN, FR, DE, ES & NL |

**Acceptance Sampling Plans for Inverse Gaussian Distribution and Birnbaum saunders Distribution Under Truncated Life Tests Book Review:**

## Testing and Inspection Using Acceptance Sampling Plans

Author | : Muhammad Aslam,Mir Masoom Ali |

Publsiher | : Springer |

Total Pages | : 288 |

Release | : 2019-07-19 |

ISBN 10 | : 9811393060 |

ISBN 13 | : 9789811393068 |

Language | : EN, FR, DE, ES & NL |

**Testing and Inspection Using Acceptance Sampling Plans Book Review:**

This book introduces a number of new sampling plans, such as time truncated life tests, skip sampling plans, resubmitted plans, mixed sampling plans, sampling plans based on the process capability index and plans for big data, which can be used for testing and inspecting products, from the raw-materials stage to the final product, in every industry using statistical process control techniques. It also presents the statistical theory, methodology and applications of acceptance sampling from truncated life tests. Further, it discusses the latest reliability, quality and risk analysis methods based on acceptance sampling from truncated life, which engineering and statisticians require in order to make decisions, and which are also useful for researchers in the areas of quality control, lifetime analysis, censored data analysis, goodness-of-fit and statistical software applications. In its nine chapters, the book addresses a wide range of testing/inspection sampling schemes for discrete and continuous data collected in various production processes. It includes a chapter on sampling plans for big data and offers several illustrative examples of the procedures presented. Requiring a basic knowledge of probability distributions, inference and estimation, and lifetime and quality analysis, it is a valuable resource for graduate and senior undergraduate engineering students, and practicing engineers, more specifically it is useful for quality engineers, reliability engineers, consultants, black belts, master black belts, students and researchers interested in applying reliability and risk and quality methods.

## Multivariate Statistics Theory and Applications

Author | : Tõnu Kollo |

Publsiher | : World Scientific |

Total Pages | : 180 |

Release | : 2013-03-25 |

ISBN 10 | : 9814449415 |

ISBN 13 | : 9789814449410 |

Language | : EN, FR, DE, ES & NL |

**Multivariate Statistics Theory and Applications Book Review:**

The book aims to present a wide range of the newest results on multivariate statistical models, distribution theory and applications of multivariate statistical methods. A paper on Pearson–Kotz–Dirichlet distributions by Professor N Balakrishnan contains main results of the Samuel Kotz Memorial Lecture. Extensions of linear models to multivariate exponential dispersion models and Growth Curve models are presented, and several papers on classification methods are included. Applications range from insurance mathematics to medical and industrial statistics and sampling algorithms. Contents:Variable Selection and Post-Estimation of Regression Parameters Using Quasi-Likelihood Approach (S Fallahpour and S E Ahmed)Maximum Likelihood Estimates for Markov-Additive Processes of Arrivals by Aggregated Data (A M Andronov)A Simple and Efficient Method of Estimation of the Parameters of a Bivariate Birnbaum-Saunders Distribution Based on Type-II Censored Samples (N Balakrishnan and X Zhu)Analysis of Contingent Valuation Data with Self-Selected Rounded WTP-Intervals Collected by Two-Steps Sampling Plans (Yu K Belyaev and B Kriström)Optimal Classification of Multivariate GRF Observations (K Dučinskas and L Dreižienė)Multivariate Exponential Dispersion Models (B Jørgensen and J R Martínez)Statistical Inference with the Limited Expected Value Function (M Käärik and H Kadarik)Shrinkage Estimation via Penalized Least Squares in Linear Regression with an Application to Hip Fracture Treatment Costs (A Liski, E P Liski and U Häkkinen)K-Nearest Neighbors as Pricing Tool in Insurance: A Comparative Study (K Pärna, R Kangro, A Kaasik and M Möls)Statistical Study of Factors Affecting Knee Joint Space and Osteophytes in the Population with Early Knee Osteoarthritis (T von Rosen, A E Tamm, A O Tamm and I Traat)Simultaneous Confidence Region for ρ and σ2 in a Multivariate Linear Model with Uniform Correlation Structure (I Žežula and D Klein) Readership: Graduated students and Professional researchers in mathematics. Keywords:Multivariate Distributions;Multivariate Statistical Models;Applications of Multivariate Statistical MethodsKey Features:Among the authors several prominent ones appear: N Balakrishnan, E Ahmed, Y Belyaev, B JorgensenOnly few books are published which are dedicated to the problems of multivariate statistics only thus it valuable for people who work in multivariate statisticsApplications in different areas demonstrate the usefulness of the theory in practice

## Continuous Multivariate Distributions Volume 1

Author | : Samuel Kotz,N. Balakrishnan,Norman L. Johnson |

Publsiher | : John Wiley & Sons |

Total Pages | : 752 |

Release | : 2019-01-17 |

ISBN 10 | : 0471183873 |

ISBN 13 | : 9780471183877 |

Language | : EN, FR, DE, ES & NL |

**Continuous Multivariate Distributions Volume 1 Book Review:**

Continuous Multivariate Distributions, Volume 1, Second Edition provides a remarkably comprehensive, self-contained resource for this critical statistical area. It covers all significant advances that have occurred in the field over the past quarter century in the theory, methodology, inferential procedures, computational and simulational aspects, and applications of continuous multivariate distributions. In-depth coverage includes MV systems of distributions, MV normal, MV exponential, MV extreme value, MV beta, MV gamma, MV logistic, MV Liouville, and MV Pareto distributions, as well as MV natural exponential families, which have grown immensely since the 1970s. Each distribution is presented in its own chapter along with descriptions of real-world applications gleaned from the current literature on continuous multivariate distributions and their applications.

## Aspects of Inference in the Birnbaum saunders and Sinh normal Distributions

Author | : Carlos L. Cintora Gonzalez,University of Guelph. Department of Mathematics and Statistics |

Publsiher | : Unknown |

Total Pages | : 147 |

Release | : 2007 |

ISBN 10 | : 9780494335987 |

ISBN 13 | : 049433598X |

Language | : EN, FR, DE, ES & NL |

**Aspects of Inference in the Birnbaum saunders and Sinh normal Distributions Book Review:**

## A General Birnbaum Saunders Model and Its Application in ALT Models

Author | : Yao Cheng |

Publsiher | : Unknown |

Total Pages | : 132 |

Release | : 2013 |

ISBN 10 | : |

ISBN 13 | : OCLC:847123736 |

Language | : EN, FR, DE, ES & NL |

**A General Birnbaum Saunders Model and Its Application in ALT Models Book Review:**

Fatigue, recognized as one of the main causes of failures of mechanical and electrical components, is a class of structural damage that occurs when material is exposed to cyclic application of stress with varying or constant amplitudes. It is necessary to develop suitable lifetime distributions to predict the reliability and useful life of components or systems which experience fatigue failure due to random or constant amplitude loading during their usage. Birnbaum and Saunders (1968) propose the standard Birnbaum-Saunders (SB-S) distribution which belongs to the normal distribution family to fit the fatigue failure data to a life distribution. This model has a single dominant crack which appears and grows as the structure experiences repeated load cycles up to the point that the crack is sufficiently long to cause failure. The underlying assumptions, derivations, probability density function (pdf), cumulative density function (cdf), hazard function, reliability function, characteristics and properties of SB-S distribution have been investigated. The hazard function of SB-S distribution is shown to be always upside-down, which is limited because it fails to cover other types of failure conditions. In this thesis, we overcome the limitations of the SB-S distribution in modeling different types of failure rates and generalize the SB-S to be generalized Birnbaum-Saunders (GB-S) distribution. We present the characteristics of the distribution and the sufficient and necessary conditions that enable it to model multiple failure conditions. We also verify that the GB-S distribution provides better fit to failure data and propose new methodologies for the estimation of the parameters of the GB-S distribution for different sample sizes and shape parameters. An accelerated life testing (ALT) model can utilize the accelerated failure data to predict the reliability and lifetime of components or systems under normal environments. In this research, we develop the GB-S based ALT models, and deal with the inference procedure. We compare the performance of GB-S accelerated model with other ALT models. We also develop the GB-S based accelerated life testing plans for reliability performance prediction since a properly designed ALT plan makes the reliability estimation and prediction more efficient.

## Statistical Quality Technologies

Author | : Yuhlong Lio,Hon Keung Tony Ng,Tzong-Ru Tsai,Ding-Geng Chen |

Publsiher | : Springer |

Total Pages | : 402 |

Release | : 2019-08-09 |

ISBN 10 | : 3030207099 |

ISBN 13 | : 9783030207090 |

Language | : EN, FR, DE, ES & NL |

**Statistical Quality Technologies Book Review:**

This book explores different statistical quality technologies including recent advances and applications. Statistical process control, acceptance sample plans and reliability assessment are some of the essential statistical techniques in quality technologies to ensure high quality products and to reduce consumer and producer risks. Numerous statistical techniques and methodologies for quality control and improvement have been developed in recent years to help resolve current product quality issues in today’s fast changing environment. Featuring contributions from top experts in the field, this book covers three major topics: statistical process control, acceptance sampling plans, and reliability testing and designs. The topics covered in the book are timely and have a high potential impact and influence to academics, scholars, students and professionals in statistics, engineering, manufacturing and health.