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Goodness Of Fit Tests Under Random Censorship
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Book Synopsis Goodness of Fit Tests Under Random Censorship by : Jiin-chiang Chen
Download or read book Goodness of Fit Tests Under Random Censorship written by Jiin-chiang Chen and published by . This book was released on 1974 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classical chi-square goodness of fit test and the Neyman smooth tests are generalized for arbitrarily right-censored samples. The test statistics are shown to have limiting chi-square distributions under completely specified (simple) null hypotheses and random censorship. Limiting distributions of the generalized chi-square goodness of fit tests are also established when using minimum chi-square estimation for composite parametric null hypotheses. Tests of fit for negative- exponential and Weibull survival distributions are illustrated for a group of breast cancer patients.
Book Synopsis Chi-squared Goodness-of-fit Tests for Censored Data by : Mikhail S. Nikulin
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.
Book Synopsis Correlation-type Goodness-of-fit Tests for Randomly Censored Data by : Chen-Hsin Chen
Download or read book Correlation-type Goodness-of-fit Tests for Randomly Censored Data written by Chen-Hsin Chen and published by . This book was released on 1988 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Correlation-type Goodness-of-fit Tests for Randomly Censored Data by : C.-H. Chen
Download or read book Correlation-type Goodness-of-fit Tests for Randomly Censored Data written by C.-H. Chen and published by . This book was released on 1981 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Chi-squared Goodness-of-fit Tests for Censored Data by : Mikhail S. Nikulin
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 2017-06-29 with total page 130 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.
Book Synopsis A Likelihood Ratio Statistic for Testing Goodness of Fit with Randomly Censored Data by : Bruce William Turnbull
Download or read book A Likelihood Ratio Statistic for Testing Goodness of Fit with Randomly Censored Data written by Bruce William Turnbull and published by . This book was released on 1976 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt: A likelihood ratio statistic is proposed for testing goodness of fit with grouped data which are subject to random right censoring. It is shown that, under appropriate conditions, this statistic has an asymptotic chi-square distribution which is non-central under contiguous alternatives. Some examples are given including one on marijuana usage which needs an extension of the test to the doubly censored case. (Author).
Book Synopsis Estimation and Goodness-of-Fit in the Case of Randomly Censored LifetimeData by : David Reineke
Download or read book Estimation and Goodness-of-Fit in the Case of Randomly Censored LifetimeData written by David Reineke and published by . This book was released on 1999-06-01 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new continuous distribution function estimator for randomly censored data is developed, discussed, and compared to existing estimators. Minimum distance estimation is shown to be effective in estimating Weibull location parameters when random censoring is present. A method of estimating all3 parameters of the 3-parameter Weibull distribution using a combination of minimum distance and maximum likelihood is also given. Cramer-von Mises and Anderson-Darling goodness-of-fit test statistics are modified to measure the discrepancy between the maximum likelihood estimate and the Kaplan-Meier product-limit estimate of the distribution function of the random variable of interest. These modified test statistics are used to construct goodness-of-fit tests for the exponential, Weibull (shape 2), and Weibull (shape 3.5) distributions when the censoring distribution is assumed to be exponential. Percentage points are obtained via Monte Carlo simulation. More generally, elements of competing risks theory are used to build goodness-of-fit tests usingcrude lifetimes. For tests based on crude lifetimes, the assumption of an exponentially distributed censoring variable and special estimation techniques are no longer required. Further, complete sample goodness-of-fit techniques may be used, bringing much more flexibility to goodness-of-fit testing when samples are randomly right-censored.
Book Synopsis Advances in Stochastic Models for Reliablity, Quality and Safety by : Jensen Kahle
Download or read book Advances in Stochastic Models for Reliablity, Quality and Safety written by Jensen Kahle and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fast technological development produces systems of ever-increasing complex ity. The demand for reliable functioning of these systems has become more and more important. Thus, there is a need for highly reliable technical devices and systems, for monitoring and controlling their functioning and for planning maintenance and corrective actions to fulfill given requirements considering eco nomic limitations. These tasks reflect the wide field of engineering activities that are accompa nied by and based on a wide range of stochastical models. The book presents the main contributions to a workshop on Stochastic Models of Reliability, Qual ity, and Safety held in Schierke near Magdeburg, Germany. This workshop was part of a series of meetings that take place every two years organized by the Society of Reliability, Quality and Safety. The basic idea of these workshops is to bring together theorists, applied statisticians, and practitioners to exchange experiences and ideas of common interest. The book contains recent results in reliability and related fields. The presentation aims at making at least a part of the results accessible to engineers.
Book Synopsis Recent Advances and Trends in Nonparametric Statistics by : M.G. Akritas
Download or read book Recent Advances and Trends in Nonparametric Statistics written by M.G. Akritas and published by Elsevier. This book was released on 2003-10-31 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: The advent of high-speed, affordable computers in the last two decades has given a new boost to the nonparametric way of thinking. Classical nonparametric procedures, such as function smoothing, suddenly lost their abstract flavour as they became practically implementable. In addition, many previously unthinkable possibilities became mainstream; prime examples include the bootstrap and resampling methods, wavelets and nonlinear smoothers, graphical methods, data mining, bioinformatics, as well as the more recent algorithmic approaches such as bagging and boosting. This volume is a collection of short articles - most of which having a review component - describing the state-of-the art of Nonparametric Statistics at the beginning of a new millennium. Key features: . algorithic approaches . wavelets and nonlinear smoothers . graphical methods and data mining . biostatistics and bioinformatics . bagging and boosting . support vector machines . resampling methods
Book Synopsis Methods and Applications of Statistics in the Life and Health Sciences by : Narayanaswamy Balakrishnan
Download or read book Methods and Applications of Statistics in the Life and Health Sciences written by Narayanaswamy Balakrishnan and published by John Wiley & Sons. This book was released on 2009-12-02 with total page 1027 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inspired by the Encyclopedia of Statistical Sciences, Second Edition, this volume outlines the statistical tools for successfully working with modern life and health sciences research Data collection holds an essential part in dictating the future of health sciences and public health, as the compilation of statistics allows researchers and medical practitioners to monitor trends in health status, identify health problems, and evaluate the impact of health policies and programs. Methods and Applications of Statistics in the Life and Health Sciences serves as a single, one-of-a-kind resource on the wide range of statistical methods, techniques, and applications that are applied in modern life and health sciences in research. Specially designed to present encyclopedic content in an accessible and self-contained format, this book outlines thorough coverage of the underlying theory and standard applications to research in related disciplines such as biology, epidemiology, clinical trials, and public health. Uniquely combining established literature with cutting-edge research, this book contains classical works and more than twenty-five new articles and completely revised contributions from the acclaimed Encyclopedia of Statistical Sciences, Second Edition. The result is a compilation of more than eighty articles that explores classic methodology and new topics, including: Sequential methods in biomedical research Statistical measures of human quality of life Change-point methods in genetics Sample size determination for clinical trials Mixed-effects regression models for predicting pre-clinical disease Probabilistic and statistical models for conception Statistical methods are explored and applied to population growth, disease detection and treatment, genetic and genomic research, drug development, clinical trials, screening and prevention, and the assessment of rehabilitation, recovery, and quality of life. These topics are explored in contributions written by more than 100 leading academics, researchers, and practitioners who utilize various statistical practices, such as election bias, survival analysis, missing data techniques, and cluster analysis for handling the wide array of modern issues in the life and health sciences. With its combination of traditional methodology and newly developed research, Methods and Applications of Statistics in the Life and Health Sciences has everything students, academics, and researchers in the life and health sciences need to build and apply their knowledge of statistical methods and applications.
Book Synopsis Exploring Research Frontiers in Contemporary Statistics and Econometrics by : Ingrid Van Keilegom
Download or read book Exploring Research Frontiers in Contemporary Statistics and Econometrics written by Ingrid Van Keilegom and published by Springer Science & Business Media. This book was released on 2011-09-15 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects contributions written by well-known statisticians and econometricians to acknowledge Léopold Simar’s far-reaching scientific impact on Statistics and Econometrics throughout his career. The papers contained herein were presented at a conference in Louvain-la-Neuve in May 2009 in honor of his retirement. The contributions cover a broad variety of issues surrounding frontier estimation, which Léopold Simar has contributed much to over the past two decades, as well as related issues such as semiparametric regression and models for censored data. This book collects contributions written by well-known statisticians and econometricians to acknowledge Léopold Simar’s far-reaching scientific impact on Statistics and Econometrics throughout his career. The papers contained herein were presented at a conference in Louvain-la-Neuve in May 2009 in honor of his retirement. The contributions cover a broad variety of issues surrounding frontier estimation, which Léopold Simar has contributed much to over the past two decades, as well as related issues such as semiparametric regression and models for censored data.
Book Synopsis Goodness-of-Fit Tests and Model Validity by : C. Huber-Carol
Download or read book Goodness-of-Fit Tests and Model Validity written by C. Huber-Carol and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Recent Advances in Stochastic Modeling and Data Analysis by : Christos H. Skiadas
Download or read book Recent Advances in Stochastic Modeling and Data Analysis written by Christos H. Skiadas and published by World Scientific. This book was released on 2007 with total page 669 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the most recent applied and methodological issues in stochastic modeling and data analysis. The contributions cover various fields such as stochastic processes and applications, data analysis methods and techniques, Bayesian methods, biostatistics, econometrics, sampling, linear and nonlinear models, networks and queues, survival analysis, and time series. The volume presents new results with potential for solving real-life problems and provides novel methods for solving these problems by analyzing the relevant data. The use of recent advances in different fields is emphasized, especially new optimization and statistical methods, data warehouse, data mining and knowledge systems, neural computing, and bioinformatics. Sample Chapter(s). Chapter 1: An approach to Stochastic Process using Quasi-Arithmetic Means (373 KB). Contents: Stochastic Processes and Models; Distributions; Insurance; Stochastic Modeling for Healthcare Management; Markov and Semi Markov Models; Parametric/Non-Parametric; Dynamical Systems/Forecasting; Modeling and Stochastic Modeling; Statistical Applications in Socioeconimic Problems; Sampling and Optimization Problems; Data Mining and Applications; Clustering and Classification; Applications of Data Analysis; Miscellaneous. Readership: Researchers in probability and statistics, stochastics and fuzzy logic.
Book Synopsis Advances in Mathematical Modeling for Reliability by : T. Bedford
Download or read book Advances in Mathematical Modeling for Reliability written by T. Bedford and published by IOS Press. This book was released on 2008 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discusses fundamental issues on mathematical modeling in reliability theory and its applications. Beginning with a discussion of graphical modeling and Bayesian networks, this work then focuses on repairable systems. It also addresses how competing risks arise in reliability and maintenance analysis through the ways in which data is censored.
Book Synopsis Frontiers in Statistics by : Jianqing Fan
Download or read book Frontiers in Statistics written by Jianqing Fan and published by Imperial College Press. This book was released on 2006 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last two decades, many areas of statistical inference have experienced phenomenal growth. This book presents a timely analysis and overview of some of these new developments and a contemporary outlook on the various frontiers of statistics.Eminent leaders in the field have contributed 16 review articles and 6 research articles covering areas including semi-parametric models, data analytical nonparametric methods, statistical learning, network tomography, longitudinal data analysis, financial econometrics, time series, bootstrap and other re-sampling methodologies, statistical computing, generalized nonlinear regression and mixed effects models, martingale transform tests for model diagnostics, robust multivariate analysis, single index models and wavelets.This volume is dedicated to Prof. Peter J Bickel in honor of his 65th birthday. The first article of this volume summarizes some of Prof. Bickel''s distinguished contributions.
Book Synopsis Probability, Statistics and Modelling in Public Health by : M.S. Nikulin
Download or read book Probability, Statistics and Modelling in Public Health written by M.S. Nikulin and published by Springer Science & Business Media. This book was released on 2006-02-10 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability, Statistics and Modelling in Public Health consists of refereed contributions by expert biostatisticians that discuss various probabilistic and statistical models used in public health. Many of them are based on the work of Marvin Zelen of the Harvard School of Public Health. Topics discussed include models based on Markov and semi-Markov processes, multi-state models, models and methods in lifetime data analysis, accelerated failure models, design and analysis of clinical trials, Bayesian methods, pharmaceutical and environmental statistics, degradation models, epidemiological methods, screening programs, early detection of diseases, and measurement and analysis of quality of life.
Book Synopsis Journal of statistical planning and inference by : Elsevier Science (Firm)
Download or read book Journal of statistical planning and inference written by Elsevier Science (Firm) and published by . This book was released on 2002 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
