A Study Of The Mean Residual Life Function And Its Applications

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A Study of the Mean Residual Life Function and Its Applications

Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (154 download)

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Book Synopsis A Study of the Mean Residual Life Function and Its Applications by :

Download or read book A Study of the Mean Residual Life Function and Its Applications written by and published by . This book was released on 2006 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The mean residual life (MRL) function is an important function in survival analysis, actuarial science, economics and other social sciences and reliability for characterizing lifetime. Different methods have been proposed for doing inference on the MRL but their coverage probabilities for small sample sizes are not good enough. In this thesis we apply the empirical likelihood method and carry out a simulation study of the MRL function using different statistical distributions. The simulation study does a comparison of the empirical likelihood method and the normal approximation method. The comparisons are based on the average lengths of confidence intervals and coverage probabilities. We also did comparisons based on median lengths of confidence intervals for the MRL. We found that the empirical likelihood method gives better coverage probability and shorter confidence intervals than the normal approximation method for almost all the distributions that we considered. Applying the two methods to real data we also found that the empirical likelihood method gives thinner pointwise confidence bands.

Frontiers in Reliability

Author : Asit P. Basu
Publisher : World Scientific
ISBN 13 : 9789810233600
Total Pages : 512 pages
Book Rating : 4.2/5 (336 download)

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Book Synopsis Frontiers in Reliability by : Asit P. Basu

Download or read book Frontiers in Reliability written by Asit P. Basu and published by World Scientific. This book was released on 1998 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents recent results in reliability theory by leading experts in the world. It will prove valuable for researchers, and users of reliability theory. It consists of refereed invited papers on a broad spectrum of topics in reliability. The subjects covered include Bayesian reliability, Bayesian reliability modeling, confounding in a series system, DF tests, Edgeworth approximation to reliability, estimation under random censoring, fault tree reduction for reliability, inference about changes in hazard rates, information theory and reliability, mixture experiment, mixture of Weibull distributions, queuing network approach in reliability theory, reliability estimation, reliability modeling, repairable systems, residual life function, software spare allocation systems, stochastic comparisons, stress-strength models, system-based component test plans, and TTT-transform.

Survival Models and Data Analysis

Author : Regina C. Elandt-Johnson
Publisher : John Wiley & Sons
ISBN 13 : 1119011035
Total Pages : 490 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Survival Models and Data Analysis by : Regina C. Elandt-Johnson

Download or read book Survival Models and Data Analysis written by Regina C. Elandt-Johnson and published by John Wiley & Sons. This book was released on 2014-11-05 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: Survival analysis deals with the distribution of life times, essentially the times from an initiating event such as birth or the start of a job to some terminal event such as death or pension. This book, originally published in 1980, surveys and analyzes methods that use survival measurements and concepts, and helps readers apply the appropriate method for a given situation. Four broad sections cover introductions to data, univariate survival function, multiple-failure data, and advanced topics.

The Fundamentals of Heavy Tails

Author : Jayakrishnan Nair
Publisher : Cambridge University Press
ISBN 13 : 1009062964
Total Pages : 266 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis The Fundamentals of Heavy Tails by : Jayakrishnan Nair

Download or read book The Fundamentals of Heavy Tails written by Jayakrishnan Nair and published by Cambridge University Press. This book was released on 2022-06-09 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Heavy tails –extreme events or values more common than expected –emerge everywhere: the economy, natural events, and social and information networks are just a few examples. Yet after decades of progress, they are still treated as mysterious, surprising, and even controversial, primarily because the necessary mathematical models and statistical methods are not widely known. This book, for the first time, provides a rigorous introduction to heavy-tailed distributions accessible to anyone who knows elementary probability. It tackles and tames the zoo of terminology for models and properties, demystifying topics such as the generalized central limit theorem and regular variation. It tracks the natural emergence of heavy-tailed distributions from a wide variety of general processes, building intuition. And it reveals the controversy surrounding heavy tails to be the result of flawed statistics, then equips readers to identify and estimate with confidence. Over 100 exercises complete this engaging package.

Survival Analysis

Author : John P. Klein
Publisher : Springer Science & Business Media
ISBN 13 : 1475727283
Total Pages : 508 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Survival Analysis by : John P. Klein

Download or read book Survival Analysis written by John P. Klein and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: Making complex methods more accessible to applied researchers without an advanced mathematical background, the authors present the essence of new techniques available, as well as classical techniques, and apply them to data. Practical suggestions for implementing the various methods are set off in a series of practical notes at the end of each section, while technical details of the derivation of the techniques are sketched in the technical notes. This book will thus be useful for investigators who need to analyse censored or truncated life time data, and as a textbook for a graduate course in survival analysis, the only prerequisite being a standard course in statistical methodology.

An Introduction to Stochastic Orders

Author : Felix Belzunce
Publisher : Academic Press
ISBN 13 : 0128038268
Total Pages : 175 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis An Introduction to Stochastic Orders by : Felix Belzunce

Download or read book An Introduction to Stochastic Orders written by Felix Belzunce and published by Academic Press. This book was released on 2015-09-29 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Stochastic Orders discusses this powerful tool that can be used in comparing probabilistic models in different areas such as reliability, survival analysis, risks, finance, and economics. The book provides a general background on this topic for students and researchers who want to use it as a tool for their research. In addition, users will find detailed proofs of the main results and applications to several probabilistic models of interest in several fields, and discussions of fundamental properties of several stochastic orders, in the univariate and multivariate cases, along with applications to probabilistic models. Introduces stochastic orders and its notation Discusses different orders of univariate stochastic orders Explains multivariate stochastic orders and their convex, likelihood ratio, and dispersive orders

Frontiers Of Reliability

Author : Asit P Basu
Publisher : World Scientific
ISBN 13 : 9814496529
Total Pages : 448 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Frontiers Of Reliability by : Asit P Basu

Download or read book Frontiers Of Reliability written by Asit P Basu and published by World Scientific. This book was released on 1998-07-31 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents recent results in reliability theory by leading experts in the world. It will prove valuable for researchers, and users of reliability theory. It consists of refereed invited papers on a broad spectrum of topics in reliability. The subjects covered include Bayesian reliability, Bayesian reliability modeling, confounding in a series system, DF tests, Edgeworth approximation to reliability, estimation under random censoring, fault tree reduction for reliability, inference about changes in hazard rates, information theory and reliability, mixture experiment, mixture of Weibull distributions, queuing network approach in reliability theory, reliability estimation, reliability modeling, repairable systems, residual life function, software spare allocation systems, stochastic comparisons, stress-strength models, system-based component test plans, and TTT-transform.

Rationality and Equilibrium

Author : Charalambos D. Aliprantis
Publisher : Springer Science & Business Media
ISBN 13 : 354029578X
Total Pages : 254 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Rationality and Equilibrium by : Charalambos D. Aliprantis

Download or read book Rationality and Equilibrium written by Charalambos D. Aliprantis and published by Springer Science & Business Media. This book was released on 2006-04-20 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a collection of original and state-of-the-art contributions in rational choice and general equilibrium theory. Among the topics are preferences, demand, equilibrium, core allocations, and testable restrictions. The contributing authors are Daniel McFadden, Rosa Matzkin, Emma Moreno-Garcia, Roger Lagunoff, Yakar Kannai, Myrna Wooders, James Moore, Ted Bergstrom, Luca Anderlini, Lin Zhou, Mark Bagnoli, Alexander Kovalenkov, Carlos Herves-Beloso, Michaela Topuzu, Bernard Cornet, Andreu Mas-Colell and Nicholas Yannelis.

Recurrent Events Data Analysis for Product Repairs, Disease Recurrences, and Other Applications

Author : Wayne B. Nelson
Publisher : SIAM
ISBN 13 : 0898715229
Total Pages : 157 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Recurrent Events Data Analysis for Product Repairs, Disease Recurrences, and Other Applications by : Wayne B. Nelson

Download or read book Recurrent Events Data Analysis for Product Repairs, Disease Recurrences, and Other Applications written by Wayne B. Nelson and published by SIAM. This book was released on 2003-01-01 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: Survival data consist of a single event for each population unit, namely, end of life, which is modeled with a life distribution. However, many applications involve repeated-events data, where a unit may accumulate numerous events over time. This applied book provides practitioners with basic nonparametric methods for such data.

Survival Analysis Using S

Author : Mara Tableman
Publisher : CRC Press
ISBN 13 : 0203501411
Total Pages : 277 pages
Book Rating : 4.2/5 (35 download)

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Book Synopsis Survival Analysis Using S by : Mara Tableman

Download or read book Survival Analysis Using S written by Mara Tableman and published by CRC Press. This book was released on 2003-07-28 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: Survival Analysis Using S: Analysis of Time-to-Event Data is designed as a text for a one-semester or one-quarter course in survival analysis for upper-level or graduate students in statistics, biostatistics, and epidemiology. Prerequisites are a standard pre-calculus first course in probability and statistics, and a course in applied linear regression models. No prior knowledge of S or R is assumed. A wide choice of exercises is included, some intended for more advanced students with a first course in mathematical statistics. The authors emphasize parametric log-linear models, while also detailing nonparametric procedures along with model building and data diagnostics. Medical and public health researchers will find the discussion of cut point analysis with bootstrap validation, competing risks and the cumulative incidence estimator, and the analysis of left-truncated and right-censored data invaluable. The bootstrap procedure checks robustness of cut point analysis and determines cut point(s). In a chapter written by Stephen Portnoy, censored regression quantiles - a new nonparametric regression methodology (2003) - is developed to identify important forms of population heterogeneity and to detect departures from traditional Cox models. By generalizing the Kaplan-Meier estimator to regression models for conditional quantiles, this methods provides a valuable complement to traditional Cox proportional hazards approaches.

Progressive Censoring

Author : N. Balakrishnan
Publisher : Springer Science & Business Media
ISBN 13 : 1461213347
Total Pages : 255 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Progressive Censoring by : N. Balakrishnan

Download or read book Progressive Censoring written by N. Balakrishnan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Proceedings of the 5th China Aeronautical Science and Technology Conference

Author : Chinese Aeronautical Society
Publisher : Springer Nature
ISBN 13 : 981167423X
Total Pages : 1073 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Proceedings of the 5th China Aeronautical Science and Technology Conference by : Chinese Aeronautical Society

Download or read book Proceedings of the 5th China Aeronautical Science and Technology Conference written by Chinese Aeronautical Society and published by Springer Nature. This book was released on 2021-11-02 with total page 1073 pages. Available in PDF, EPUB and Kindle. Book excerpt: To sort out the progress of aviation science and technology and industry, look forward to the future development trend, commend scientific and technological innovation achievements and talents, strengthen international cooperation, promote discipline exchanges, encourage scientific and technological innovation, and promote the development of aviation, the Chinese Aeronautical Society holds a China Aviation Science and Technology Conference every two years, which has been successfully held for four times and has become the highest level, largest scale, most influential and authoritative science and technology conference in the field of aviation in China. The 5th China Aviation Science and Technology Conference will be held in Wuzhen, Jiaxing City, Zhejiang Province in 2021, with the theme of "New Generation of Aviation Equipment and Technology", with academician Zhang Yanzhong as the chairman of the conference. This book contains original, peer-reviewed research papers from the conference. The topics covered include but are not limited to navigation, guidance and control technologies, key technologies for aircraft design and overall optimization, aviation test technologies, aviation airborne systems, electromechanical technologies, structural design, aerodynamics and flight mechanics, other related technologies, advanced aviation materials and manufacturing technologies, advanced aviation propulsion technologies, and civil aviation transportation. The papers presented here share the latest discoveries on aviation science and technology, making the book a valuable asset for researchers, engineers, and students.

Statistical Inference on Residual Life

Author : Jong-Hyeon Jeong
Publisher : Springer Science & Business Media
ISBN 13 : 1493900056
Total Pages : 208 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Statistical Inference on Residual Life by : Jong-Hyeon Jeong

Download or read book Statistical Inference on Residual Life written by Jong-Hyeon Jeong and published by Springer Science & Business Media. This book was released on 2014-01-20 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a monograph on the concept of residual life, which is an alternative summary measure of time-to-event data, or survival data. The mean residual life has been used for many years under the name of life expectancy, so it is a natural concept for summarizing survival or reliability data. It is also more interpretable than the popular hazard function, especially for communications between patients and physicians regarding the efficacy of a new drug in the medical field. This book reviews existing statistical methods to infer the residual life distribution. The review and comparison includes existing inference methods for mean and median, or quantile, residual life analysis through medical data examples. The concept of the residual life is also extended to competing risks analysis. The targeted audience includes biostatisticians, graduate students, and PhD (bio)statisticians. Knowledge in survival analysis at an introductory graduate level is advisable prior to reading this book.

Model Rules of Professional Conduct

Author : American Bar Association. House of Delegates
Publisher : American Bar Association
ISBN 13 : 9781590318737
Total Pages : 216 pages
Book Rating : 4.3/5 (187 download)

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Book Synopsis Model Rules of Professional Conduct by : American Bar Association. House of Delegates

Download or read book Model Rules of Professional Conduct written by American Bar Association. House of Delegates and published by American Bar Association. This book was released on 2007 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Model Rules of Professional Conduct provides an up-to-date resource for information on legal ethics. Federal, state and local courts in all jurisdictions look to the Rules for guidance in solving lawyer malpractice cases, disciplinary actions, disqualification issues, sanctions questions and much more. In this volume, black-letter Rules of Professional Conduct are followed by numbered Comments that explain each Rule's purpose and provide suggestions for its practical application. The Rules will help you identify proper conduct in a variety of given situations, review those instances where discretionary action is possible, and define the nature of the relationship between you and your clients, colleagues and the courts.

Introductory Functional Analysis with Applications

Author : Erwin Kreyszig
Publisher : John Wiley & Sons
ISBN 13 : 0471504599
Total Pages : 706 pages
Book Rating : 4.4/5 (715 download)

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Book Synopsis Introductory Functional Analysis with Applications by : Erwin Kreyszig

Download or read book Introductory Functional Analysis with Applications written by Erwin Kreyszig and published by John Wiley & Sons. This book was released on 1991-01-16 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: KREYSZIG The Wiley Classics Library consists of selected books originally published by John Wiley & Sons that have become recognized classics in their respective fields. With these new unabridged and inexpensive editions, Wiley hopes to extend the life of these important works by making them available to future generations of mathematicians and scientists. Currently available in the Series: Emil Artin Geometnc Algebra R. W. Carter Simple Groups Of Lie Type Richard Courant Differential and Integrai Calculus. Volume I Richard Courant Differential and Integral Calculus. Volume II Richard Courant & D. Hilbert Methods of Mathematical Physics, Volume I Richard Courant & D. Hilbert Methods of Mathematical Physics. Volume II Harold M. S. Coxeter Introduction to Modern Geometry. Second Edition Charles W. Curtis, Irving Reiner Representation Theory of Finite Groups and Associative Algebras Nelson Dunford, Jacob T. Schwartz unear Operators. Part One. General Theory Nelson Dunford. Jacob T. Schwartz Linear Operators, Part Two. Spectral Theory—Self Adjant Operators in Hilbert Space Nelson Dunford, Jacob T. Schwartz Linear Operators. Part Three. Spectral Operators Peter Henrici Applied and Computational Complex Analysis. Volume I—Power Senes-lntegrauon-Contormal Mapping-Locatvon of Zeros Peter Hilton, Yet-Chiang Wu A Course in Modern Algebra Harry Hochstadt Integral Equations Erwin Kreyszig Introductory Functional Analysis with Applications P. M. Prenter Splines and Variational Methods C. L. Siegel Topics in Complex Function Theory. Volume I —Elliptic Functions and Uniformizatton Theory C. L. Siegel Topics in Complex Function Theory. Volume II —Automorphic and Abelian Integrals C. L. Siegel Topics In Complex Function Theory. Volume III —Abelian Functions & Modular Functions of Several Variables J. J. Stoker Differential Geometry

Mathematical Theory of Reliability

Author : Richard E. Barlow
Publisher : SIAM
ISBN 13 : 0898713692
Total Pages : 271 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Mathematical Theory of Reliability by : Richard E. Barlow

Download or read book Mathematical Theory of Reliability written by Richard E. Barlow and published by SIAM. This book was released on 1996-01-01 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a survey of mathematical models useful in solving reliability problems. It includes a detailed discussion of life distributions corresponding to wearout and their use in determining maintenance policies, and covers important topics such as the theory of increasing (decreasing) failure rate distributions, optimum maintenance policies, and the theory of coherent systems. The emphasis throughout the book is on making minimal assumptions - and only those based on plausible physical considerations - so that the resulting mathematical deductions may be safely made about a large variety of commonly occurring reliability situations. The first part of the book is concerned with component reliability, while the second part covers system reliability, including problems that are as important today as they were in the 1960s. The enduring relevance of the subject of reliability and the continuing demand for a graduate-level book on this topic are the driving forces behind its re-publication.

Reliability Modelling and Analysis in Discrete Time

Author : Unnikrishnan Nair
Publisher : Academic Press
ISBN 13 : 0128020067
Total Pages : 510 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Reliability Modelling and Analysis in Discrete Time by : Unnikrishnan Nair

Download or read book Reliability Modelling and Analysis in Discrete Time written by Unnikrishnan Nair and published by Academic Press. This book was released on 2018-05-15 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reliability Modelling and Analysis in Discrete Time provides an overview of the probabilistic and statistical aspects connected with discrete reliability systems. This engaging book discusses their distributional properties and dependence structures before exploring various orderings associated between different reliability structures. Though clear explanations, multiple examples, and exhaustive coverage of the basic and advanced topics of research in this area, the work gives the reader a thorough understanding of the theory and concepts associated with discrete models and reliability structures. A comprehensive bibliography assists readers who are interested in further research and understanding. Requiring only an introductory understanding of statistics, this book offers valuable insight and coverage for students and researchers in Probability and Statistics, Electrical Engineering, and Reliability/Quality Engineering. The book also includes a comprehensive bibliography to assist readers seeking to delve deeper. Includes a valuable introduction to Reliability Theory before covering advanced topics of research and real world applications Features an emphasis on the mathematical theory of reliability modeling Provides many illustrative examples to foster reader understanding