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Author : Dorota Dąbrowska
Publisher :
ISBN 13 :
Total Pages : 148 pages
Book Rating : 4.:/5 (29 download)
Download or read book Rank Tests for Independence for Bivariate Censored Data written by Dorota Dąbrowska and published by . This book was released on 1984 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Edward Popovich
Publisher :
ISBN 13 : 9780530006406
Total Pages : 94 pages
Book Rating : 4.0/5 (64 download)
Download or read book Nonparametric Analysis of Bivariate Censored Data written by Edward Popovich and published by . This book was released on 2019-05-31 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: A class of statistics is proposed for the problem of testing for location difference using censored matched pair data. The class consists of linear combinations of two conditionally independent statistics where the conditioning is on the number, N, of pairs in which both members are uncensored and the number, N", of pairs in which exactly one member is uncensored. Since every member of the class is conditionally distribution-free under the null hypothesis, H: no location difference, the statistics in the proposed class can be utilized to provide an exact conditional test of H for all N. and N.. If n denotes the total number of pairs, then under suitable conditions the proposed test statistics are shown to have asymptotic normal distributions as n tends to infinity. As a result, large sample tests can be performed using any member of the proposed class. A method that can be used to choose one test statistic from the proposed class of test statistics is outlined. However, the resulting test statistic depends on the underlying distributional forms of the populations from which the bivariate data and censoring variables are sampled. Simulation results indicate that the powers of certain members in the class are as good as and, in some cases, better than the power of a test for H proposed by Woolson and Lachenbruch in their paper titled "Rank Tests for Censored Matched Paris" appearing on pages 597-606 of Biometrika in 1980. Also, unlike the test of Woolson and Lachenbruch, the critical values for small samples can be tabulated for the tests in the new class. Consequently, members of the new class of tests are recommended for testing the null hypothesis. Dissertation Discovery Company and University of Florida are dedicated to making scholarly works more discoverable and accessible throughout the world. This dissertation, "Nonparametric Analysis of Bivariate Censored Data" by Edward Anthony Popovich, was obtained from University of Florida and is being sold with permission from the author. A digital copy of this work may also be found in the university's institutional repository, IR@UF. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation.
Author : Edward Anthony Popovich
Publisher :
ISBN 13 :
Total Pages : 168 pages
Book Rating : 4.:/5 (114 download)
Download or read book Nonparametric Analysis of Bivariate Censored Data written by Edward Anthony Popovich and published by . This book was released on 1983 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: A class of statistics is proposed for the problem of testing for location difference using censored matched pair data. The class consists of linear combinations of two conditionally independent statistics where the conditioning is on the number, N, of pairs in which both members are uncensored and the number, N, of pairs in which exactly one member is uncensored. Since every member of the class is conditionally distribution-free under the null hypothesis, H : no location difference, the statistics in the proposed class can be utilized to provide an exact conditional test of H for all N. and N. If n denotes the total number of pairs, then under suitable conditions the proposed test statistics are shown to have asymptotic normal distributions as n tends to infinity. As a result, large sample tests can be performed using any member of the proposed class. A method that can be used to choose one test statistic from the proposed class of test statistics is outlined. However, the resulting test statistic depends on the underlying distributional forms of the populations from which the bivariate data and censoring variables are sampled. Simulation results indicate that the powers of certain members in the class are as good as and, in some cases, better than the power of a test for H proposed by Woolson and Lachenbruch in their paper titled "Rank Tests for Censored Matched Paris" appearing on pages 597-606 of Biometrika in 1980. Also, unlike the test of Woolson and Lachenbruch, the critical values for small samples can be tabulated for the tests in the new class. Consequently, members of the new class of tests are recommended for testing the null hypothesis.
Author : Aparna Raychaudhuri
Publisher :
ISBN 13 :
Total Pages : 220 pages
Book Rating : 4.:/5 (277 download)
Download or read book Rank Tests for Randomly Right Censored Bivariate Life-time Data written by Aparna Raychaudhuri and published by . This book was released on 1992 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ramesh Korwar
Publisher :
ISBN 13 :
Total Pages : 6 pages
Book Rating : 4.:/5 (227 download)
Download or read book Nonparametric Test of Independence for Censored Data written by Ramesh Korwar and published by . This book was released on 1980 with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt: In an effort to widen the area of applicability of the self-consistent estimator of a bivariate survival distribution developed earlier to more complex situations, the following situation of double censoring was considered. The Nonparametric Estimation of a Bivariate Survivorship Function with Doubly Censored Data: Frequently are doubly censored-that is, some of the data may be censored on the left (late entries) some on the right (losses) while some others may be uncensored (deaths). Keywords: Computations, Iterations. (kr).
Author : Zbynek Sidak
Publisher : Elsevier
ISBN 13 : 0080519105
Total Pages : 453 pages
Book Rating : 4.0/5 (85 download)
Download or read book Theory of Rank Tests written by Zbynek Sidak and published by Elsevier. This book was released on 1999-04-06 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of Theory of Rank Tests (1967) has been the precursor to a unified and theoretically motivated treatise of the basic theory of tests based on ranks of the sample observations. For more than 25 years, it helped raise a generation of statisticians in cultivating their theoretical research in this fertile area, as well as in using these tools in their application oriented research. The present edition not only aims to revive this classical text by updating the findings but also by incorporating several other important areas which were either not properly developed before 1965 or have gone through an evolutionary development during the past 30 years. This edition therefore aims to fulfill the needs of academic as well as professional statisticians who want to pursue nonparametrics in their academic projects, consultation, and applied research works. Asymptotic Methods Nonparametrics Convergence of Probability Measures Statistical Inference
Author : John P. Klein
Publisher : Springer Science & Business Media
ISBN 13 : 9401579830
Total Pages : 446 pages
Book Rating : 4.4/5 (15 download)
Download or read book Survival Analysis: State of the Art written by John P. Klein and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Survival analysis is a highly active area of research with applications spanning the physical, engineering, biological, and social sciences. In addition to statisticians and biostatisticians, researchers in this area include epidemiologists, reliability engineers, demographers and economists. The economists survival analysis by the name of duration analysis and the analysis of transition data. We attempted to bring together leading researchers, with a common interest in developing methodology in survival analysis, at the NATO Advanced Research Workshop. The research works collected in this volume are based on the presentations at the Workshop. Analysis of survival experiments is complicated by issues of censoring, where only partial observation of an individual's life length is available and left truncation, where individuals enter the study group if their life lengths exceed a given threshold time. Application of the theory of counting processes to survival analysis, as developed by the Scandinavian School, has allowed for substantial advances in the procedures for analyzing such experiments. The increased use of computer intensive solutions to inference problems in survival analysis~ in both the classical and Bayesian settings, is also evident throughout the volume. Several areas of research have received special attention in the volume.
Author : Per K. Andersen
Publisher : Springer Science & Business Media
ISBN 13 : 1461243483
Total Pages : 779 pages
Book Rating : 4.4/5 (612 download)
Download or read book Statistical Models Based on Counting Processes written by Per K. Andersen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 779 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern survival analysis and more general event history analysis may be effectively handled within the mathematical framework of counting processes. This book presents this theory, which has been the subject of intense research activity over the past 15 years. The exposition of the theory is integrated with careful presentation of many practical examples, drawn almost exclusively from the authors'own experience, with detailed numerical and graphical illustrations. Although Statistical Models Based on Counting Processes may be viewed as a research monograph for mathematical statisticians and biostatisticians, almost all the methods are given in concrete detail for use in practice by other mathematically oriented researchers studying event histories (demographers, econometricians, epidemiologists, actuarial mathematicians, reliability engineers and biologists). Much of the material has so far only been available in the journal literature (if at all), and so a wide variety of researchers will find this an invaluable survey of the subject.
Author : Liang Xiu
Publisher :
ISBN 13 :
Total Pages : 374 pages
Book Rating : 4.:/5 (319 download)
Download or read book Goodness-of-fit Tests for Survival Models written by Liang Xiu and published by . This book was released on 1993 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : M.M. Desu
Publisher : CRC Press
ISBN 13 : 1482285894
Total Pages : 384 pages
Book Rating : 4.4/5 (822 download)
Download or read book Nonparametric Statistical Methods For Complete and Censored Data written by M.M. Desu and published by CRC Press. This book was released on 2003-09-29 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Balancing the "cookbook" approach of some texts with the more mathematical approach of others, Nonparametric Statistical Methods for Complete and Censored Data introduces commonly used non-parametric methods for complete data and extends those methods to right censored data analysis. Whenever possible, the authors derive their methodology from the
Author : Werner Stahel
Publisher : Springer Science & Business Media
ISBN 13 : 1461244447
Total Pages : 384 pages
Book Rating : 4.4/5 (612 download)
Download or read book Directions in Robust Statistics and Diagnostics written by Werner Stahel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This IMA Volume in Mathematics and its Applications DIRECTIONS IN ROBUST STATISTICS AND DIAGNOSTICS is based on the proceedings of the first four weeks of the six week IMA 1989 summer program "Robustness, Diagnostics, Computing and Graphics in Statistics". An important objective of the organizers was to draw a broad set of statisticians working in robustness or diagnostics into collaboration on the challenging problems in these areas, particularly on the interface between them. We thank the organizers of the robustness and diagnostics program Noel Cressie, Thomas P. Hettmansperger, Peter J. Huber, R. Douglas Martin, and especially Werner Stahel and Sanford Weisberg who edited the proceedings. A vner Friedman Willard Miller, Jr. PREFACE Central themes of all statistics are estimation, prediction, and making decisions under uncertainty. A standard approach to these goals is through parametric mod elling. Parametric models can give a problem sufficient structure to allow standard, well understood paradigms to be applied to make the required inferences. If, how ever, the parametric model is not completely correct, then the standard inferential methods may not give reasonable answers. In the last quarter century, particularly with the advent of readily available computing, more attention has been paid to the problem of inference when the parametric model used is not correctly specified.
Author : Tadeusz Bromek
Publisher : Springer Science & Business Media
ISBN 13 : 9400905750
Total Pages : 322 pages
Book Rating : 4.4/5 (9 download)
Download or read book Statistical Inference written by Tadeusz Bromek and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Use and misuse of statistics seems to be the signum temporis of past decades. But nowadays this practice seems slowly to be wearing away, and common sense and responsibility recapturing their position. It is our contention that little by little statistics should return to its starting point, i.e., to formalizing and analyzing empirical phenomena. This requires the reevalu ation of many traditions and the rejection of many myths. We hope that our book would go some way towards this aim. We show the sharp conflict between what is needed and what is feasible. Moreover, we show how slender are the links between theory and practice in statistical inference, links which are sometimes no more than mutual inspiration. In Part One we present the consecutive stages of formalization of statistical problems, i.e., the description of the experiment, the presentation of the aim of the investigation, and of the constraints put upon the decision rules. We stress the fact that at each of these stages there is room for arbitrariness. We prove that the links between the real problem and its formal counterpart are often so weak that the solution of the formal problem may have no rational interpretation at the practical level. We give a considerable amount of thought to the reduction of statistical problems.
Author : Deniz Seden
Publisher :
ISBN 13 :
Total Pages : 234 pages
Book Rating : 4.:/5 (182 download)
Download or read book Two-sample Rank Tests for Joint Type-II Censored Data written by Deniz Seden and published by . This book was released on 1987 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John D. Kalbfleisch
Publisher : John Wiley & Sons
ISBN 13 : 1118031237
Total Pages : 462 pages
Book Rating : 4.1/5 (18 download)
Download or read book The Statistical Analysis of Failure Time Data written by John D. Kalbfleisch and published by John Wiley & Sons. This book was released on 2011-01-25 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains additional discussion and examples on left truncationas well as material on more general censoring and truncationpatterns. Introduces the martingale and counting process formulation swillbe in a new chapter. Develops multivariate failure time data in a separate chapterand extends the material on Markov and semi Markovformulations. Presents new examples and applications of data analysis.
Author : Takeshi Emura
Publisher : Springer
ISBN 13 : 9811071640
Total Pages : 94 pages
Book Rating : 4.8/5 (11 download)
Download or read book Analysis of Survival Data with Dependent Censoring written by Takeshi Emura and published by Springer. This book was released on 2018-04-05 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces readers to copula-based statistical methods for analyzing survival data involving dependent censoring. Primarily focusing on likelihood-based methods performed under copula models, it is the first book solely devoted to the problem of dependent censoring. The book demonstrates the advantages of the copula-based methods in the context of medical research, especially with regard to cancer patients’ survival data. Needless to say, the statistical methods presented here can also be applied to many other branches of science, especially in reliability, where survival analysis plays an important role. The book can be used as a textbook for graduate coursework or a short course aimed at (bio-) statisticians. To deepen readers’ understanding of copula-based approaches, the book provides an accessible introduction to basic survival analysis and explains the mathematical foundations of copula-based survival models.
Author : Vilijandas Bagdonavicius
Publisher : John Wiley & Sons
ISBN 13 : 1118602137
Total Pages : 162 pages
Book Rating : 4.1/5 (186 download)
Download or read book Nonparametric Tests for Censored Data written by Vilijandas Bagdonavicius and published by John Wiley & Sons. This book was released on 2013-02-07 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book concerns testing hypotheses in non-parametric models. Generalizations of many non-parametric tests to the case of censored and truncated data are considered. Most of the test results are proved and real applications are illustrated using examples. Theories and exercises are provided. The incorrect use of many tests applying most statistical software is highlighted and discussed.
Author : Mikhail S. Nikulin
Publisher : John Wiley & Sons
ISBN 13 : 1786300001
Total Pages : 160 pages
Book Rating : 4.7/5 (863 download)
Download or read book Chi-squared Goodness-of-fit Tests for Censored Data written by Mikhail S. Nikulin and published by John Wiley & Sons. This book was released on 2017-08-07 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the problems of construction and application of chi-squared goodness-of-fit tests for complete and censored data. Classical chi-squared tests assume that unknown distribution parameters are estimated using grouped data, but in practice this assumption is often forgotten. In this book, we consider modified chi-squared tests, which do not suffer from such a drawback. The authors provide examples of chi-squared tests for various distributions widely used in practice, and also consider chi-squared tests for the parametric proportional hazards model and accelerated failure time model, which are widely used in reliability and survival analysis. Particular attention is paid to the choice of grouping intervals and simulations. This book covers recent innovations in the field as well as important results previously only published in Russian. Chi-squared tests are compared with other goodness-of-fit tests (such as the Cramer-von Mises-Smirnov, Anderson-Darling and Zhang tests) in terms of power when testing close competing hypotheses.
