Correlation Type Goodness Of Fit Tests For Randomly Censored Data PDF Download
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Author | : Mikhail S. Nikulin |
Publisher | : John Wiley & Sons |
Total Pages | : 160 |
Release | : 2017-08-07 |
Genre | : Mathematics |
ISBN | : 1786300001 |
Download Chi-squared Goodness-of-fit Tests for Censored Data Book in PDF, ePub and Kindle
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.
Author | : C.-H. Chen |
Publisher | : |
Total Pages | : 150 |
Release | : 1981 |
Genre | : Goodness-of-fit tests |
ISBN | : |
Download Correlation-type Goodness-of-fit Tests for Randomly Censored Data Book in PDF, ePub and Kindle
Author | : Henry C. Thode |
Publisher | : CRC Press |
Total Pages | : 506 |
Release | : 2002-01-25 |
Genre | : Mathematics |
ISBN | : 9780203910894 |
Download Testing For Normality Book in PDF, ePub and Kindle
Describes the selection, design, theory, and application of tests for normality. Covers robust estimation, test power, and univariate and multivariate normality. Contains tests ofr multivariate normality and coordinate-dependent and invariant approaches.
Author | : David Reineke |
Publisher | : |
Total Pages | : 216 |
Release | : 1999-06-01 |
Genre | : |
ISBN | : 9781423544746 |
Download Estimation and Goodness-of-Fit in the Case of Randomly Censored LifetimeData Book in PDF, ePub and Kindle
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.
Author | : RalphB. D'Agostino |
Publisher | : Routledge |
Total Pages | : 433 |
Release | : 2017-10-19 |
Genre | : Mathematics |
ISBN | : 1351444557 |
Download Goodness-of-Fit-Techniques Book in PDF, ePub and Kindle
Conveniently grouping methods by techniques, such as chi-squared and empirical distributionfunction , and also collecting methods of testing for specific famous distributions, this usefulreference is the fust comprehensive.review of the extensive literature on the subject. It surveysthe leading methods of testing fit . .. provides tables to make the tests available . .. assessesthe comparative merits of different test procedures . .. and supplies numerical examples to aidin understanding these techniques.Goodness-of-Fit Techniques shows how to apply the techniques . .. emphasizes testing for thethree major distributions, normal, exponential, and uniform . .. discusses the handling of censoreddata .. . and contains over 650 bibliographic citations that cover the field.Illustrated with tables and drawings, this volume is an ideal reference for mathematical andapplied statisticians, and biostatisticians; professionals in applied science fields, including psychologists,biometricians , physicians, and quality control and reliability engineers; advancedundergraduate- and graduate-level courses on goodness-of-fit techniques; and professional seminarsand symposia on applied statistics, quality control, and reliability.
Author | : RalphB. D'Agostino |
Publisher | : Routledge |
Total Pages | : 585 |
Release | : 2017-10-19 |
Genre | : Mathematics |
ISBN | : 1351444565 |
Download Goodness-of-Fit-Techniques Book in PDF, ePub and Kindle
Conveniently grouping methods by techniques, such as chi-squared and empirical distributionfunction , and also collecting methods of testing for specific famous distributions, this usefulreference is the fust comprehensive.review of the extensive literature on the subject. It surveysthe leading methods of testing fit . .. provides tables to make the tests available . .. assessesthe comparative merits of different test procedures . .. and supplies numerical examples to aidin understanding these techniques.Goodness-of-Fit Techniques shows how to apply the techniques . .. emphasizes testing for thethree major distributions, normal, exponential, and uniform . .. discusses the handling of censoreddata .. . and contains over 650 bibliographic citations that cover the field.Illustrated with tables and drawings, this volume is an ideal reference for mathematical andapplied statisticians, and biostatisticians; professionals in applied science fields, including psychologists,biometricians , physicians, and quality control and reliability engineers; advancedundergraduate- and graduate-level courses on goodness-of-fit techniques; and professional seminarsand symposia on applied statistics, quality control, and reliability.
Author | : Ralph B. D'Agostino |
Publisher | : CRC Press |
Total Pages | : 590 |
Release | : 1986-06-02 |
Genre | : Mathematics |
ISBN | : 9780824774875 |
Download Goodness-of-Fit-Techniques Book in PDF, ePub and Kindle
Conveniently grouping methods by techniques, such as chi-squared and empirical distributionfunction, and also collecting methods of testing for specific famous distributions, this useful reference is the first comprehensive review of the extensive literature on the subject. It surveysthe leading methods of testing fit . .. provides tables to make the tests available . .. assessesthe comparative merits of different test procedures . .. and supplies numerical examples to aidin understanding these techniques.Goodness-of-Fit Techniques shows how to apply the techniques . .. emphasizes testing for thethree major distributions, normal, exponential, and uniform . .. discusses the handling of censoreddata .. . and contains over 650 bibliographic citations that cover the field.Illustrated with tables and drawings, this volume is an ideal reference for mathematical andapplied statisticians, and biostatisticians; professionals in applied science fields, including psychologists, biometricians, physicians, and quality control and reliability engineers; advancedundergraduate- and graduate-level courses on goodness-of-fit techniques; and professional seminarsand symposia on applied statistics, quality control, and reliability.
Author | : Liang Xiu |
Publisher | : |
Total Pages | : 374 |
Release | : 1993 |
Genre | : |
ISBN | : |
Download Goodness-of-fit Tests for Survival Models Book in PDF, ePub and Kindle
Author | : Scott Mitchell Lesch |
Publisher | : |
Total Pages | : 452 |
Release | : 2007 |
Genre | : Distribution (Probability theory) |
ISBN | : |
Download A New Class of Goodness-of-fit Tests Based on Linear Functions of Order Statistics for the Exponential Distribution Under General Type II Censoring Schemes Book in PDF, ePub and Kindle
Author | : Robert Francis Tenga |
Publisher | : |
Total Pages | : 350 |
Release | : 1983 |
Genre | : Distribution (Probability theory) |
ISBN | : |
Download Testing Goodness-of-fit to Restricted Families of Distributions with Complete and Censored Data Book in PDF, ePub and Kindle