The Birnbaum Saunders Distribution

The Birnbaum Saunders Distribution
Author: Victor Leiva
Publsiher: Academic Press
Total Pages: 154
Release: 2015-10-26
Genre: Mathematics
ISBN: 9780128038277

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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. 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

The Birnbaum Saunders Distribution
Author: Victor Leiva
Publsiher: Academic Press
Total Pages: 0
Release: 2015-10-22
Genre: Mathematics
ISBN: 0128037695

Download The Birnbaum Saunders Distribution Book in PDF, Epub and Kindle

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.

Testing and Inspection Using Acceptance Sampling Plans

Testing and Inspection Using Acceptance Sampling Plans
Author: Muhammad Aslam,Mir Masoom Ali
Publsiher: Springer
Total Pages: 288
Release: 2019-07-19
Genre: Mathematics
ISBN: 9789811393068

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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.

Robust Estimation of the Birnbaum Saunders Distribution

Robust Estimation of the Birnbaum Saunders Distribution
Author: Joanna E. Mills
Publsiher: Unknown
Total Pages: 0
Release: 1997
Genre: Electronic Book
ISBN: OCLC:229162415

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First Hitting Time Regression Models

First Hitting Time Regression Models
Author: Chrysseis Caroni
Publsiher: John Wiley & Sons
Total Pages: 200
Release: 2017-07-17
Genre: Mathematics
ISBN: 9781119437222

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This book aims to promote regression methods for analyzing lifetime (or time-to-event) data that are based on a representation of the underlying process, and are therefore likely to offer greater scientific insight compared to purely empirical methods. In contrast to the rich statistical literature, the regression methods actually employed in lifetime data analysis are limited, particularly in the biomedical field where D. R. Cox’s famous semi-parametric proportional hazards model predominates. Practitioners should become familiar with more flexible models. The first hitting time regression models (or threshold regression) presented here represent observed events as the outcome of an underlying stochastic process. One example is death occurring when the patient’s health status falls to zero, but the idea has wide applicability – in biology, engineering, banking and finance, and elsewhere. The central topic is the model based on an underlying Wiener process, leading to lifetimes following the inverse Gaussian distribution. Introducing time-varying covariates and many other extensions are considered. Various applications are presented in detail.

Mathematical and Statistical Applications in Life Sciences and Engineering

Mathematical and Statistical Applications in Life Sciences and Engineering
Author: Avishek Adhikari,Mahima Ranjan Adhikari,Yogendra Prasad Chaubey
Publsiher: Springer
Total Pages: 372
Release: 2017-12-06
Genre: Mathematics
ISBN: 9789811053702

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The book includes articles from eminent international scientists discussing a wide spectrum of topics of current importance in mathematics and statistics and their applications. It presents state-of-the-art material along with a clear and detailed review of the relevant topics and issues concerned. The topics discussed include message transmission, colouring problem, control of stochastic structures and information dynamics, image denoising, life testing and reliability, survival and frailty models, analysis of drought periods, prediction of genomic profiles, competing risks, environmental applications and chronic disease control. It is a valuable resource for researchers and practitioners in the relevant areas of mathematics and statistics.

Probability Distributions Used in Reliability Engineering

Probability Distributions Used in Reliability Engineering
Author: Andrew N O'Connor
Publsiher: RIAC
Total Pages: 220
Release: 2011
Genre: Probabilities
ISBN: 9781933904061

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The book provides details on 22 probability distributions. Each distribution section provides a graphical visualization and formulas for distribution parameters, along with distribution formulas. Common statistics such as moments and percentile formulas are followed by likelihood functions and in many cases the derivation of maximum likelihood estimates. Bayesian non-informative and conjugate priors are provided followed by a discussion on the distribution characteristics and applications in reliability engineering.

Progressive Censoring

Progressive Censoring
Author: N. Balakrishnan,Rita Aggarwala
Publsiher: Springer Science & Business Media
Total Pages: 255
Release: 2012-12-06
Genre: Mathematics
ISBN: 9781461213345

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This new book offers a guide to the theory and methods of progressive censoring. In many industrial experiments involving lifetimes of machines or units, experiments have to be terminated early. Progressive Censoring first introduces progressive sampling foundations, and then discusses various properties of progressive samples. The book points out the greater efficiency gained by using this scheme instead of classical right-censoring methods.