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The Birnbaum Saunders Distribution

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The Birnbaum Saunders Distribution

The Birnbaum Saunders Distribution Book
Author : Victor Leiva
Publisher : Academic Press
Release : 2015-10-26
ISBN : 0128038276
Language : En, Es, Fr & De

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Book 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. 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

Robust Estimation of the Birnbaum Saunders Distribution Book
Author : Anonim
Publisher : Unknown
Release : 1997
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Robust Estimation of the Birnbaum Saunders Distribution book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

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

Estimation and Prediction for the Birnbaum Saunders Distribution Using Type II Censored Samples  with a Comparison to the Inverse Gaussian Distribution Book
Author : Kevin S. McCarter
Publisher : Unknown
Release : 1999
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Estimation and Prediction for the Birnbaum Saunders Distribution Using Type II Censored Samples with a Comparison to the Inverse Gaussian Distribution book written by Kevin S. McCarter, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Shortest Prediction Intervals for the Birnbaum Saunders Distribution

Shortest Prediction Intervals for the Birnbaum Saunders Distribution Book
Author : Zhenlin Yang
Publisher : Unknown
Release : 1994
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Shortest Prediction Intervals for the Birnbaum Saunders Distribution book written by Zhenlin Yang, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Robust Estimation of the Birnbaum Saunders Distribution

Robust Estimation of the Birnbaum Saunders Distribution Book
Author : Joanna E. Mills,Technical University of Nova Scotia. Department of Applied Mathematics
Publisher : Unknown
Release : 1997
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Robust Estimation of the Birnbaum Saunders Distribution book written by Joanna E. Mills,Technical University of Nova Scotia. Department of Applied Mathematics, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Accelerated Test Models Using the Birnbaum Saunders Distribution

Accelerated Test Models Using the Birnbaum Saunders Distribution Book
Author : William Jason Owen
Publisher : Unknown
Release : 1997
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Accelerated Test Models Using the Birnbaum Saunders Distribution book written by William Jason Owen, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Asymptotic Confidence Ellipses of Parameters for the Birnbaum Saunders Distribution

Asymptotic Confidence Ellipses of Parameters for the Birnbaum Saunders Distribution Book
Author : Pattaya Thonglim,Mahāwitthayālai Thammasāt. Department of Mathematics and Statistics
Publisher : Unknown
Release : 2013
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Asymptotic Confidence Ellipses of Parameters for the Birnbaum Saunders Distribution book written by Pattaya Thonglim,Mahāwitthayālai Thammasāt. Department of Mathematics and Statistics, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Statistical Analysis for the Birnbaum Saunders Fatigue Life Distribution

Statistical Analysis for the Birnbaum Saunders Fatigue Life Distribution Book
Author : James R. Rieck
Publisher : Unknown
Release : 1989
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Statistical Analysis for the Birnbaum Saunders Fatigue Life Distribution book written by James R. Rieck, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Maximum Likelihood Estimation for Loglinear Models for the Birnbaum Saunders Distribution

Maximum Likelihood Estimation for Loglinear Models for the Birnbaum Saunders Distribution Book
Author : James Rieck,Jerry Nedelman,State University of New York at Albany. Department of Biometry and Statistics
Publisher : Unknown
Release : 1990*
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Maximum Likelihood Estimation for Loglinear Models for the Birnbaum Saunders Distribution book written by James Rieck,Jerry Nedelman,State University of New York at Albany. Department of Biometry and Statistics, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

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

Inferences on the Parameters of the Birnbaum Saunders Fatigue Life Distribution Based on Maximum Likelihood Estimation Book
Author : Max Engelhardt,Lee J. Bain,F. T. Wright,MISSOURI UNIV-ROLLA DEPT OF MATHEMATICS.
Publisher : Unknown
Release : 1979
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Inferences on the Parameters of the Birnbaum Saunders Fatigue Life Distribution Based on Maximum Likelihood Estimation book written by Max Engelhardt,Lee J. Bain,F. T. Wright,MISSOURI UNIV-ROLLA DEPT OF MATHEMATICS., available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

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

Acceptance Sampling Plans for Inverse Gaussian Distribution and Birnbaum saunders Distribution Under Truncated Life Tests Book
Author : Cheng-Ju Wu
Publisher : Unknown
Release : 2005
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Acceptance Sampling Plans for Inverse Gaussian Distribution and Birnbaum saunders Distribution Under Truncated Life Tests book written by Cheng-Ju Wu, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

A General Birnbaum Saunders Model and Its Application in ALT Models

A General Birnbaum Saunders Model and Its Application in ALT Models Book
Author : Yao Cheng
Publisher : Unknown
Release : 2013
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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.

Multivariate Statistics Theory and Applications

Multivariate Statistics  Theory and Applications Book
Author : Tõnu Kollo
Publisher : World Scientific
Release : 2013-03-25
ISBN : 9814449415
Language : En, Es, Fr & De

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Book Description :

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

A Study on the Estimation of Parameters and the Reliability Function for the Birnbaum Saunders Fatigue life Distribution

A Study on the Estimation of Parameters and the Reliability Function for the Birnbaum Saunders Fatigue life Distribution Book
Author : Carlos Ocampo Hinayon
Publisher : Unknown
Release : 1980
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download A Study on the Estimation of Parameters and the Reliability Function for the Birnbaum Saunders Fatigue life Distribution book written by Carlos Ocampo Hinayon, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

A New Fatigue Life Model Based on the Famiy of Skew elliptical Distributions

A New Fatigue Life Model Based on the Famiy of Skew elliptical Distributions Book
Author : Filidor Vilca
Publisher : Unknown
Release : 2005
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download A New Fatigue Life Model Based on the Famiy of Skew elliptical Distributions book written by Filidor Vilca, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

On Estimation of Reliability for the Birnbaum Saunders Fatigue Life Model

On Estimation of Reliability for the Birnbaum Saunders Fatigue Life Model Book
Author : W. J. Padgett,SOUTH CAROLINA UNIV COLUMBIA DEPT OF MATHEMATICS AND STATISTICS.
Publisher : Unknown
Release : 1980
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

The Birnbaum-Saunders fatigue life distribution with shape parameter alpha and scale parameter beta is considered. The scale parameter beta is also the median lifetime, and assuming that beta is known, Bayes estimators of the reliability function are obtained for a family of proper conjugate priors as well as for Jeffreys' vague prior for alpha. When both alpha and beta are unknown, a modified Bayes estimator R* sub B(t) of the reliability is proposed using a moment estimator of beta. In addition to being computationally simpler than the maximum likelihood estimator (mle) of reliability, Monte Carlo simulations for small samples show that R* sub B(t) is better than the method of moments estimator for all alpha and as good as the mle for small alpha in the sense of mean squared errors.

Statistical Quality Technologies

Statistical Quality Technologies Book
Author : Yuhlong Lio,Hon Keung Tony Ng,Tzong-Ru Tsai,Ding-Geng Chen
Publisher : Springer
Release : 2019-08-09
ISBN : 3030207099
Language : En, Es, Fr & De

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Book Description :

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.

Continuous Univariate Distributions Volume 2

Continuous Univariate Distributions  Volume 2 Book
Author : Norman L. Johnson,Samuel Kotz,N. Balakrishnan
Publisher : John Wiley & Sons
Release : 1995-05-08
ISBN : 0471584940
Language : En, Es, Fr & De

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Book Description :

Comprehensive reference for statistical distributions Continuous Univariate Distributions, Volume 2 provides in-depth reference for anyone who applies statistical distributions in fields including engineering, business, economics, and the sciences. Covering a range of distributions, both common and uncommon, this book includes guidance toward extreme value, logistics, Laplace, beta, rectangular, noncentral distributions and more. Each distribution is presented individually for ease of reference, with clear explanations of methods of inference, tolerance limits, applications, characterizations, and other important aspects, including reference to other related distributions.