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.
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.
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.
Inferences Using Progressive Censoring
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Author : Rashad Elsagheer
language : en
Publisher: LAP Lambert Academic Publishing
Release Date : 2012
Inferences Using Progressive Censoring written by Rashad Elsagheer and has been published by LAP Lambert Academic Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with categories.
Censored sampling arises in a life testing experiment whenever the experimenter does not observe the failure times of all items placed on a life test. Progressive censoring scheme is useful in both industrial life testing applications and clinical settings; it allows the removal of surviving experimental units before the termination of the test. In this book, we obtain the maximum likelihood, and Bayes estimations for the parameter of the Burr-X model as well as the binomial parameter, based on progressive first-failure censoring with binomial removals. Bayes estimators under symmetric and asymmetric loss functions are obtained. Three special cases from this censoring scheme have been considered. Farther, we discuss the problem of predicting future record values and ordinary order statistics from Burr-X model based on progressively type-II censored with random removals, were the number of units removed at each failure time has a discrete binomial distribution. We use the Bayes procedure to derive both point and interval prediction. The maximum likelihood prediction both point and interval using "plug-in" procedure for future record values and ordinary order statistics are derived.
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
On The Joint Distribution Of Placement Statistics Under Progressive Censoring And Applications To Precedence Test
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Author :
language : en
Publisher:
Release Date : 2007
On The Joint Distribution Of Placement Statistics Under Progressive Censoring And Applications To Precedence Test written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Electronic publications categories.
In reliability and survival analysis, comparison of two or more populations is an important problem. For example, while comparing a treatment group with a control group, one may be interested in determining whether the observations in the treatment group have a longer lifetime than those from the control group, that is, whether the treatment is effective or not. In such a study, it would be extremely valuable to make a decision based on early failures. In this paper, we consider independent progressively Type-II censored random samples from two populations with cumulative distribution function's (cdf) F(·) and G (·) respectively, and discuss a precedence test for testing the equality of the two distributions based on placements. For this purpose, we derive the joint distribution of the first l placement statistics from the progressively censored sample from F(·). We then derive the exact null distribution of the precedence test statistic which is simply the sum of the placements. We provide the rejection regions for fixed levels of significance and various sample sizes and different progressive censoring schemes.
Statistical Models And Methods For Biomedical And Technical Systems
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Author : Filia Vonta
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-03-05
Statistical Models And Methods For Biomedical And Technical Systems written by Filia Vonta 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 2008-03-05 with Medical categories.
This book deals with the mathematical aspects of survival analysis and reliability as well as other topics, reflecting recent developments in the following areas: applications in epidemiology; probabilistic and statistical models and methods in reliability; models and methods in survival analysis, longevity, aging, and degradation; accelerated life models; quality of life; new statistical challenges in genomics. The work will be useful to a broad interdisciplinary readership of researchers and practitioners in applied probability and statistics, industrial statistics, biomedicine, biostatistics, and engineering.
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.
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.
Advances In Ranking And Selection Multiple Comparisons And Reliability
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Author : N. Balakrishnan
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-28
Advances In Ranking And Selection Multiple Comparisons And Reliability 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 2007-12-28 with Mathematics categories.
S. Panchapakesan has made significant contributions to ranking and selection and has published in many other areas of statistics, including order statistics, reliability theory, stochastic inequalities, and inference. Written in his honor, the twenty invited articles in this volume reflect recent advances in these areas and form a tribute to Panchapakesan’s influence and impact on these areas. Featuring theory, methods, applications, and extensive bibliographies with special emphasis on recent literature, this comprehensive reference work will serve researchers, practitioners, and graduate students in the statistical and applied mathematics communities.
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.