Progressive Censoring
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Progressive Censoring
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Author : N. Balakrishnan
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Progressive Censoring written by N. Balakrishnan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Censored sampling arises in a life-testing experiment whenever the experimenter does not observe (either intentionally or unintentionally) the failure times of all units placed on a life-test. Inference based on censored sampling has been studied during the past 50 years by numerous authors for a wide range of lifetime distributions such as normal, exponential, gamma, Rayleigh, Weibull, extreme value, log-normal, inverse Gaussian, logistic, Laplace, and Pareto. Naturally, there are many different forms of censoring that have been discussed in the literature. In this book, we consider a versatile scheme of censoring called progressive Type-II censoring. Under this scheme of censoring, from a total of n units placed on a life-test, only m are completely observed until failure. At the time of the first failure, Rl of the n - 1 surviving units are randomly withdrawn (or censored) from the life-testing experiment. At the time of the next failure, R2 of the n - 2 -Rl surviving units are censored, and so on. Finally, at the time of the m-th failure, all the remaining Rm = n - m -Rl - . . . - Rm-l surviving units are censored. Note that censoring takes place here progressively in m stages. Clearly, this scheme includes as special cases the complete sample situation (when m = nand Rl = . . . = Rm = 0) and the conventional Type-II right censoring situation (when Rl = . . . = Rm-l = 0 and Rm = n - m).
The Art Of Progressive Censoring
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Author : N. Balakrishnan
language : en
Publisher: Springer
Release Date : 2014-07-24
The Art Of Progressive Censoring written by N. Balakrishnan and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-24 with Mathematics categories.
This book offers a thorough and updated guide to the theory and methods of progressive censoring, an area that has experienced tremendous growth over the last decade. The theory has developed quite nicely in some special cases having practical applications to reliability and quality. The Art of Progressive Censoring is a valuable reference for graduate students, researchers, and practitioners in applied statistics, quality control, life testing, and reliability. With its accessible style and concrete examples, the work may also be used as a textbook in an advanced undergraduate or a beginning graduate course on censoring or progressive censoring, as well as a supplementary textbook for a course on ordered data.
Hybrid Censoring Know How
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Author : Narayanaswamy Balakrishnan
language : en
Publisher: Academic Press
Release Date : 2023-01-06
Hybrid Censoring Know How written by Narayanaswamy Balakrishnan and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-06 with Mathematics categories.
Hybrid Censoring Know-How: Models, Methods and Applications focuses on hybrid censoring, an important topic in censoring methodology with numerous applications. The readers will find information on the significance of censored data in theoretical and applied contexts, and descriptions of extensive data sets from life-testing experiments where these forms of data naturally occur. The existing literature on censoring methodology, life-testing procedures, and lifetime data analysis provides only hybrid censoring schemes, with little information about hybrid censoring methodologies, ideas, and statistical inferential methods. This book fills that gap, featuring statistical tools applicable to data from medicine, biology, public health, epidemiology, engineering, economics, and demography. - Presents many numerical examples to adequately illustrate all inferential methods discussed - Mentions some open problems and possible directions for future work - Reviews developments on Type-II and Type-I HCS, including the most recent research and trends - Explains why hybrid censored sampling is important in practice - Provides details about the use of HCS under different settings and on various designs of HCS - Describes the use of hybrid censoring in other reliability applications such as reliability sampling plans, step-stress testing, and quality control
Truncated And Censored Samples
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Author : A. Clifford Cohen
language : en
Publisher: CRC Press
Release Date : 2016-04-19
Truncated And Censored Samples written by A. Clifford Cohen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 with Mathematics categories.
This book deals with the development of methodology for the analysis of truncated and censored sample data. It is primarily intended as a handbook for practitioners who need simple and efficient methods for the analysis of incomplete sample data.
Advances In Stochastic Simulation Methods
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Author : N. Balakrishnan
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Advances In Stochastic Simulation Methods written by N. Balakrishnan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This is a volume consisting of selected papers that were presented at the 3rd St. Petersburg Workshop on Simulation held at St. Petersburg, Russia, during June 28-July 3, 1998. The Workshop is a regular international event devoted to mathematical problems of simulation and applied statistics organized by the Department of Stochastic Simulation at St. Petersburg State University in cooperation with INFORMS College on Simulation (USA). Its main purpose is to exchange ideas between researchers from Russia and from the West as well as from other coun tries throughout the World. The 1st Workshop was held during May 24-28, 1994, and the 2nd workshop was held during June 18-21, 1996. The selected proceedings of the 2nd Workshop was published as a special issue of the Journal of Statistical Planning and Inference. Russian mathematical tradition has been formed by such genius as Tchebysh eff, Markov and Kolmogorov whose ideas have formed the basis for contempo rary probabilistic models. However, for many decades now, Russian scholars have been isolated from their colleagues in the West and as a result their mathe matical contributions have not been widely known. One of the primary reasons for these workshops is to bring the contributions of Russian scholars into lime light and we sincerely hope that this volume helps in this specific purpose.
Ordered Data Analysis Modeling And Health Research Methods
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Author : Pankaj Choudhary
language : en
Publisher: Springer
Release Date : 2015-12-14
Ordered Data Analysis Modeling And Health Research Methods written by Pankaj Choudhary and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-14 with Mathematics categories.
This volume presents an eclectic mix of original research articles in areas covering the analysis of ordered data, stochastic modeling and biostatistics. These areas were featured in a conference held at the University of Texas at Dallas from March 7 to 9, 2014 in honor of Professor H. N. Nagaraja’s 60th birthday and his distinguished contributions to statistics. The articles were written by leading experts who were invited to contribute to the volume from among the conference participants. The volume is intended for all researchers with an interest in order statistics, distribution theory, analysis of censored data, stochastic modeling, time series analysis, and statistical methods for the health sciences, including statistical genetics.
Goodness Of Fit Tests And Model Validity
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Author : C. Huber-Carol
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Goodness Of Fit Tests And Model Validity written by C. Huber-Carol and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The 37 expository articles in this volume provide broad coverage of important topics relating to the theory, methods, and applications of goodness-of-fit tests and model validity. The book is divided into eight parts, each of which presents topics written by expert researchers in their areas. Key features include: * state-of-the-art exposition of modern model validity methods, graphical techniques, and computer-intensive methods * systematic presentation with sufficient history and coverage of the fundamentals of the subject * exposure to recent research and a variety of open problems * many interesting real life examples for practitioners * extensive bibliography, with special emphasis on recent literature * subject index This comprehensive reference work will serve the statistical and applied mathematics communities as well as practitioners in the field.
Parameter Estimation In Reliability And Life Span Models
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Author : Cohen
language : en
Publisher: CRC Press
Release Date : 1988-09-13
Parameter Estimation In Reliability And Life Span Models written by Cohen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-09-13 with Mathematics categories.
Offers an applications-oriented treatment of parameter estimation from both complete and censored samples; contains notations, simplified formats for estimates, graphical techniques, and numerous tables and charts allowing users to calculate estimates and analyze sample data quickly and easily. Anno
Survival Analysis
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Author : John Crowley
language : en
Publisher: IMS
Release Date : 1982
Survival Analysis written by John Crowley and has been published by IMS this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Mathematics categories.
Springer Handbook Of Engineering Statistics
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Author : Hoang Pham
language : en
Publisher: Springer Nature
Release Date : 2023-04-20
Springer Handbook Of Engineering Statistics written by Hoang Pham and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-20 with Technology & Engineering categories.
In today’s global and highly competitive environment, continuous improvement in the processes and products of any field of engineering is essential for survival. This book gathers together the full range of statistical techniques required by engineers from all fields. It will assist them to gain sensible statistical feedback on how their processes or products are functioning and to give them realistic predictions of how these could be improved. The handbook will be essential reading for all engineers and engineering-connected managers who are serious about keeping their methods and products at the cutting edge of quality and competitiveness.