Weibull Models

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Weibull Models

Author : D. N. Prabhakar Murthy,Min Xie,Renyan Jiang
Publisher : John Wiley & Sons
Page : 409 pages
File Size : 48,7 Mb
Release : 2004-01-28
Category : Mathematics
ISBN : 9780471473275

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Weibull Models by D. N. Prabhakar Murthy,Min Xie,Renyan Jiang Pdf

A comprehensive perspective on Weibull models The literature on Weibull models is vast, disjointed, andscattered across many different journals. Weibull Models is acomprehensive guide that integrates all the different facets ofWeibull models in a single volume. This book will be of great help to practitioners in reliabilityand other disciplines in the context of modeling data sets usingWeibull models. For researchers interested in these modelingtechniques, exercises at the end of each chapter define potentialtopics for future research. Organized into seven distinct parts, Weibull Models: * Covers model analysis, parameter estimation, model validation,and application * Serves as both a handbook and a research monograph. As ahandbook, it classifies the different models and presents theirproperties. As a research monograph, it unifies the literature andpresents the results in an integrated manner * Intertwines theory and application * Focuses on model identification prior to model parameterestimation * Discusses the usefulness of the Weibull Probability plot (WPP)in the model selection to model a given data set * Highlights the use of Weibull models in reliability theory Filled with in-depth analysis, Weibull Models pulls together themost relevant information on this topic to give everyone fromreliability engineers to applied statisticians involved withreliability and survival analysis a clear look at what Weibullmodels can offer.

Using the Weibull Distribution

Author : John I. McCool
Publisher : John Wiley & Sons
Page : 366 pages
File Size : 50,6 Mb
Release : 2012-08-06
Category : Technology & Engineering
ISBN : 9781118351987

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Using the Weibull Distribution by John I. McCool Pdf

Understand and utilize the latest developments in Weibull inferential methods While the Weibull distribution is widely used in science and engineering, most engineers do not have the necessary statistical training to implement the methodology effectively. Using the Weibull Distribution: Reliability, Modeling, and Inference fills a gap in the current literature on the topic, introducing a self-contained presentation of the probabilistic basis for the methodology while providing powerful techniques for extracting information from data. The author explains the use of the Weibull distribution and its statistical and probabilistic basis, providing a wealth of material that is not available in the current literature. The book begins by outlining the fundamental probability and statistical concepts that serve as a foundation for subsequent topics of coverage, including: • Optimum burn-in, age and block replacement, warranties and renewal theory • Exact inference in Weibull regression • Goodness of fit testing and distinguishing the Weibull from the lognormal • Inference for the Three Parameter Weibull Throughout the book, a wealth of real-world examples showcases the discussed topics and each chapter concludes with a set of exercises, allowing readers to test their understanding of the presented material. In addition, a related website features the author's own software for implementing the discussed analyses along with a set of modules written in Mathcad®, and additional graphical interface software for performing simulations. With its numerous hands-on examples, exercises, and software applications, Using the Weibull Distribution is an excellent book for courses on quality control and reliability engineering at the upper-undergraduate and graduate levels. The book also serves as a valuable reference for engineers, scientists, and business analysts who gather and interpret data that follows the Weibull distribution

Handbook of Models for Human Aging

Author : P. Michael Conn
Publisher : Elsevier
Page : 1103 pages
File Size : 41,9 Mb
Release : 2011-04-28
Category : Medical
ISBN : 9780080460062

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Handbook of Models for Human Aging by P. Michael Conn Pdf

The Handbook of Models for Human Aging is designed as the only comprehensive work available that covers the diversity of aging models currently available. For each animal model, it presents key aspects of biology, nutrition, factors affecting life span, methods of age determination, use in research, and disadvantages/advantes of use. Chapters on comparative models take a broad sweep of age-related diseases, from Alzheimer's to joint disease, cataracts, cancer, and obesity. In addition, there is an historical overview and discussion of model availability, key methods, and ethical issues. Utilizes a multidisciplinary approach Shows tricks and approaches not available in primary publications First volume of its kind to combine both methods of study for human aging and animal models Over 200 illustrations

Multi-State Survival Models for Interval-Censored Data

Author : Ardo van den Hout
Publisher : CRC Press
Page : 181 pages
File Size : 54,7 Mb
Release : 2016-11-25
Category : Mathematics
ISBN : 9781315356730

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Multi-State Survival Models for Interval-Censored Data by Ardo van den Hout Pdf

Multi-State Survival Models for Interval-Censored Data introduces methods to describe stochastic processes that consist of transitions between states over time. It is targeted at researchers in medical statistics, epidemiology, demography, and social statistics. One of the applications in the book is a three-state process for dementia and survival in the older population. This process is described by an illness-death model with a dementia-free state, a dementia state, and a dead state. Statistical modelling of a multi-state process can investigate potential associations between the risk of moving to the next state and variables such as age, gender, or education. A model can also be used to predict the multi-state process. The methods are for longitudinal data subject to interval censoring. Depending on the definition of a state, it is possible that the time of the transition into a state is not observed exactly. However, when longitudinal data are available the transition time may be known to lie in the time interval defined by two successive observations. Such an interval-censored observation scheme can be taken into account in the statistical inference. Multi-state modelling is an elegant combination of statistical inference and the theory of stochastic processes. Multi-State Survival Models for Interval-Censored Data shows that the statistical modelling is versatile and allows for a wide range of applications.

G Families of Probability Distributions

Author : Mir Masoom Ali,Irfan Ali,Haitham M. Yousof,Mohamed Ibrahim Mohamed Ahmed
Publisher : CRC Press
Page : 365 pages
File Size : 48,5 Mb
Release : 2023-03-31
Category : Mathematics
ISBN : 9781000860351

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G Families of Probability Distributions by Mir Masoom Ali,Irfan Ali,Haitham M. Yousof,Mohamed Ibrahim Mohamed Ahmed Pdf

Statistical distributions are essential tools to model the characteristics of datasets, such as right or left skewness, bi-modality or multi-modality observed in different applied sciences, such as engineering, medicine, and finance. The well-known distributions like normal, Weibull, gamma and Lindley are extensively used because of their simple forms and identifiability properties. In the last decade, researchers have focused on the more complex and flexible distributions, referred to as Generalized or simply G families of probability distributions, to increase the modelling capability of these distributions by adding one or more shape parameters. The main aim of this edited book is to present new contributions by researchers in the field of G families of probability distributions. The book will help researchers to: Develop new univariate continuous and discrete G families of probability distributions. Develop new bivariate continuous and discrete G families of probability distributions. Derive beneficial mathematical properties such as ordinary and incomplete moments, moment generating functions, residual life and reversed residual life functions, order statistics, quantile spread ordering and entropies, and some bivariate and multivariate extensions of the new and existing models using a simple-type copula.

Stochastic Ageing and Dependence for Reliability

Author : Chin Diew Lai,Min Xie
Publisher : Springer Science & Business Media
Page : 437 pages
File Size : 45,7 Mb
Release : 2006-09-24
Category : Mathematics
ISBN : 9780387342320

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Stochastic Ageing and Dependence for Reliability by Chin Diew Lai,Min Xie Pdf

This book provides a panoramic view of theory and applications of Ageing and Dependence in the use of mathematical methods in reliability and survival analysis. Ageing and dependence are important characteristics in reliability and survival analysis. They affect decisions with regard to maintenance, repair/replacement, price setting, warranties, medical studies, and other areas. Most of the works containing the topics covered here are theoretical in nature. However, this book offers applications, exercises, and examples. It serves as a reference for professors and researchers involved in reliability and survival analysis.

Bayesian Survival Analysis

Author : Joseph G. Ibrahim,Ming-Hui Chen,Debajyoti Sinha
Publisher : Springer Science & Business Media
Page : 494 pages
File Size : 50,8 Mb
Release : 2013-03-09
Category : Medical
ISBN : 9781475734478

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Bayesian Survival Analysis by Joseph G. Ibrahim,Ming-Hui Chen,Debajyoti Sinha Pdf

Survival analysis arises in many fields of study including medicine, biology, engineering, public health, epidemiology, and economics. This book provides a comprehensive treatment of Bayesian survival analysis. It presents a balance between theory and applications, and for each class of models discussed, detailed examples and analyses from case studies are presented whenever possible. The applications are all from the health sciences, including cancer, AIDS, and the environment.

The Weibull Distribution

Author : Horst Rinne
Publisher : CRC Press
Page : 812 pages
File Size : 55,8 Mb
Release : 2008-11-20
Category : Business & Economics
ISBN : 9781420087444

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The Weibull Distribution by Horst Rinne Pdf

The Most Comprehensive Book on the SubjectChronicles the Development of the Weibull Distribution in Statistical Theory and Applied StatisticsExploring one of the most important distributions in statistics, The Weibull Distribution: A Handbook focuses on its origin, statistical properties, and related distributions. The book also presents various ap

Handbook of Research Methods in International Relations

Author : Huddleston, R. J.,Jamieson, Thomas,James, Patrick
Publisher : Edward Elgar Publishing
Page : 801 pages
File Size : 45,5 Mb
Release : 2022-08-05
Category : Political Science
ISBN : 9781839101014

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Handbook of Research Methods in International Relations by Huddleston, R. J.,Jamieson, Thomas,James, Patrick Pdf

Drawing together international experts on research methods in International Relations (IR), this Handbook answers the complex practical questions for those approaching a new research topic for the first time. Innovative in its approach, it considers the art of IR research as well as the science, offering diverse perspectives on current research methods and emerging developments in the field.

Advanced Reliability Modeling

Author : Tadashi Dohi,Won Young Yun
Publisher : World Scientific
Page : 644 pages
File Size : 40,6 Mb
Release : 2004-08-17
Category : Technology & Engineering
ISBN : 9789814482509

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Advanced Reliability Modeling by Tadashi Dohi,Won Young Yun Pdf

The 2004 Asian International Workshop on Advanced Reliability Modeling is a symposium for the dissemination of state-of-the-art research and the presentation of practice in reliability engineering and related issues in Asia. It brings together researchers, scientists and practitioners from Asian countries to discuss the state of research and practice in dealing with reliability issues at the system design (modeling) level, and to jointly formulate an agenda for future research in this engineering area. The proceedings cover all the key topics in reliability, maintainability and safety engineering, providing an in-depth presentation of theory and practice. The proceedings have been selected for coverage in: • Index to Scientific & Technical Proceedings® (ISTP® / ISI Proceedings) • Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings) • CC Proceedings — Engineering & Physical Sciences Contents: How Can We Estimate Software Reliability with a Continuous-State Software Reliability Model? (T Ando & T Dohi)Performing the Soft-Error Rate (SER) on a TDBI Chamber (V Chang & W T K Chien)Warranty and Imperfect Repairs (S Chukova & Y Hayakawa)Availability for a Repairable System with Finite Repairs (L Cui & J Li)Reliability of a Server System with Access Restriction (M Imaizumi et al.)Simulated Annealing Algorithm for Redundancy Optimization with Multiple Component Choices (H G Kim et al.)A Random Shock Model for a Continuously Deteriorating System (K E Lim et al.)Five Further Studies for Reliability Models (T Nakagawa)Computation Technology for Safety and Risk Assessment of Gas Pipeline Systems (V Seleznev & V Aleshin)Automatic Pattern Classification Reliability of the Digitized Mammographic Breast Density (T Sumimoto et al.)and other papers Readership: Graduate students, researchers and practitioners in industrial engineering, computer engineering, systems engineering, business management and mathematics. Keywords:Reliability;Maintenance;Safety;Failure;Risk Assessment;Testing;Modeling;Probability & Statistics

Design for Reliability

Author : Dana Crowe,Alec Feinberg
Publisher : CRC Press
Page : 318 pages
File Size : 48,9 Mb
Release : 2017-12-19
Category : Technology & Engineering
ISBN : 9781351836081

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Design for Reliability by Dana Crowe,Alec Feinberg Pdf

Today's marketplace demands product reliability. At the same time, it places ever-increasing demands on products that push the limits of their performance and their functional life, and it does so with the expectation of lower per-unit product costs. To meet these demands, product design now requires a focused, streamlined, concurrent engineering process that will produce a product at the lowest possible cost in the least amount of time. Design for Reliability provides a systematic approach to the design process that is sharply focused on reliability and firmly based on the physics of failure. It imparts an understanding of how, why, and when to use the wide variety of reliability engineering tools available and offers fundamental insight into the total design cycle. Applicable from the idea phase of the product development cycle through product obsolescence, Design for Reliability (DfR) concepts integrated with reliability verification and analytical physics form a coherent stage gate/phase design process that helps ensure that a product will meet customers' reliability objectives. Whether you are a high-volume manufacturer of consumer items or a low volume producer of military commodities, your goal is the same: to bring a product to market using a process focused on designing out or mitigating potential failure modes prior to production release. Readers of Design for Reliability will learn to meet that goal and move beyond solidifying a basic offering to the marketplace to creating a true competitive advantage.

Value-Added Biocomposites

Author : Malinee Sriariyanun,Sanjay Mavinkere Rangappa,Suchart Siengchin,Hom Nath Dhakal
Publisher : CRC Press
Page : 534 pages
File Size : 46,8 Mb
Release : 2021-09-06
Category : Technology & Engineering
ISBN : 9781000454949

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Value-Added Biocomposites by Malinee Sriariyanun,Sanjay Mavinkere Rangappa,Suchart Siengchin,Hom Nath Dhakal Pdf

Value-Added Biocomposites: Technology, Innovation, and Opportunity explores advances in research, processing, manufacturing, and novel applications of biocomposites. It describes the current market situation, commercial competition, and societal and economic impacts and advantages of substituting biocomposites for conventional composites, including natural fibers and bioplastics. FEATURES Discusses manufacturing and processing procedures that focus on improving physical, mechanical, thermal, electrical, chemical, and biological properties and achieving required specifications of downstream industries and customers Analyzes the wide range of available base materials and fillers of biocomposites and bioplastics in terms of the strength and weaknesses of materials and economic potential in the market Displays special and unique properties of biocomposites in different market sectors Showcases the insight of expert scientists and engineers with first-hand experience working with biocomposites across various industries Covers environmental factors, life cycle assessment, and waste recovery Combining technical, economic, and environmental topics, this work provides researchers, advanced students, and industry professionals a holistic overview of the value that biocomposites add across a variety of engineering applications and how to balance research and development with practical results.

Modelling Forest Systems

Author : A. Amaro,D. Reed,P. Soares
Publisher : CABI
Page : 426 pages
File Size : 48,7 Mb
Release : 2003-01-01
Category : Science
ISBN : 0851998739

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Modelling Forest Systems by A. Amaro,D. Reed,P. Soares Pdf

There are many theoretical approaches to modelling forest systems, but not all of them have valid practical applications. This book reviews current thinking on various models and presents applications in various contexts. Papers have been selected and developed from those presented at aworkshop held in Portugal in June 2002. Topics covered include: Forest reality and modelling strategies Mathematical approaches and reasoning Estimation processes Models, validation and decision under uncertainty Model archives and metadata

Handbook of Statistical Modeling for the Social and Behavioral Sciences

Author : G. Arminger,Clifford C. Clogg,M.E. Sobel
Publisher : Springer Science & Business Media
Page : 603 pages
File Size : 55,6 Mb
Release : 2013-06-29
Category : Psychology
ISBN : 9781489912923

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Handbook of Statistical Modeling for the Social and Behavioral Sciences by G. Arminger,Clifford C. Clogg,M.E. Sobel Pdf

Contributors thoroughly survey the most important statistical models used in empirical reserch in the social and behavioral sciences. Following a common format, each chapter introduces a model, illustrates the types of problems and data for which the model is best used, provides numerous examples that draw upon familiar models or procedures, and includes material on software that can be used to estimate the models studied. This handbook will aid researchers, methodologists, graduate students, and statisticians to understand and resolve common modeling problems.

The Biostatistics of Aging

Author : Gilberto Levy,Bruce Levin
Publisher : John Wiley & Sons
Page : 272 pages
File Size : 41,7 Mb
Release : 2014-02-11
Category : Mathematics
ISBN : 9781118645826

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The Biostatistics of Aging by Gilberto Levy,Bruce Levin Pdf

A practical and clarifying approach to aging andaging-related diseases Providing a thorough and extensive theoretical framework, TheBiostatistics of Aging: From Gompertzian Mortality to an Index ofAging-Relatedness addresses the surprisinglysubtlenotion—with consequential biomedical and public healthrelevance—of what it means for acondition to be related toaging. In this pursuit, the book presents a new quantitativemethodto examine the relative contributions of genetic andenvironmental factors to mortality anddisease incidence in apopulation. With input from evolutionary biology, population genetics,demography, and epidemiology, this medically motivated bookdescribes an index of aging-relatedness and also features: Original results on the asymptotic behavior of the minimum oftime-to-event random variables, which extends those of theclassical statistical theory of extreme values A comprehensive and satisfactory explanation based onbiological principles of the Gompertz pattern of mortality in humanpopulations The development of an evolution-based model of causationrelevant to mortality and aging-related diseases of complexetiology An explanation of how and why the description of humanmortality by the Gompertz distribution can be improved upon fromfirst principles The amply illustrated analysis of real-world data, including aprogram for conducting the analysis written in the freely availableR statistical software Technical appendices including mathematical material as well asan extensive and multidisciplinary bibliography on aging andaging-related diseases The Biostatistics of Aging: From Gompertzian Mortality to anIndex of Aging-Relatedness is an excellent resource forpractitioners and researchers with an interest in aging andaging-related diseases from the fields of medicine, biology,gerontology, biostatistics, epidemiology, demography, and publichealth.