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Smooth Tests of Goodness of Fit

Smooth Tests of Goodness of Fit
Author: J. C. W. Rayner
Publisher: Oxford University Press
Total Pages: 177
Release: 1989-10-12
Genre: Mathematics
ISBN: 0195363604

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Goodness of fit describes the validity of models involving statistical distributions of data, and smooth tests are a subset of these tests that are easy to apply and can be used in any situation in which there are relatively large sample sizes. Both concepts have become increasingly important with the advent of high-speed computers and the implementation of more complex models in the areas of probability and statistics. Written to be accessible to undergraduates with a knowledge of statistics and calculus, this is an introductory reference work that should appeal to all professionals involved in statistical modeling.


Smooth Tests of Goodness of Fit

Smooth Tests of Goodness of Fit
Author: J. C. W. Rayner
Publisher: Oxford University Press, USA
Total Pages: 177
Release: 1989
Genre: Goodness-of-fit tests
ISBN: 0195056108

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Goodness of fit describes the validity of models involving statistical distributions of data, and smooth tests are a subset of these tests that can be used in any situation in which there are relatively large sample sizes.


Comparing Distributions

Comparing Distributions
Author: Olivier Thas
Publisher: Springer Science & Business Media
Total Pages: 358
Release: 2010-03-14
Genre: Mathematics
ISBN: 0387927107

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Provides a self-contained comprehensive treatment of both one-sample and K-sample goodness-of-fit methods by linking them to a common theory backbone Contains many data examples, including R-code and a specific R-package for comparing distributions Emphesises informative statistical analysis rather than plain statistical hypothesis testing


Efficiency Comparisons of Goodness-of-fit Tests for Weibull and Gamma Distributions with Singly Censored Data

Efficiency Comparisons of Goodness-of-fit Tests for Weibull and Gamma Distributions with Singly Censored Data
Author: Adel Ibrahim Bargal
Publisher:
Total Pages: 123
Release: 1981
Genre: Goodness-of-fit tests
ISBN:

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Generalizations of the smooth goodness-of-fit test statistics, the components of Cramer-von Mises type statistics and the Pearson chi-square statistics are considered for censored samples. Asymptotic efficiency comparisons are made between these general goodness-of-fit tests for Weibull and gamma distributions for certain parametric alternatives in the case of singly censored samples. Efficiency comparisons are also made with the specialized tests of Mann for Weibull distribution and of Locke for gamma distribution. Among these tests the smooth test of order one was found to be most efficient for all cases considered.


Goodness-of-fit

Goodness-of-fit
Author: Wayne W. Daniel
Publisher:
Total Pages: 32
Release: 1980
Genre: Goodness-of-fit tests
ISBN:

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Goodness-of-Fit Tests and Model Validity

Goodness-of-Fit Tests and Model Validity
Author: C. Huber-Carol
Publisher: Springer Science & Business Media
Total Pages: 512
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461201039

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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.


Asymptotic Theory of Statistical Tests and Estimation

Asymptotic Theory of Statistical Tests and Estimation
Author: Indra Mohan Chakravarti
Publisher:
Total Pages: 378
Release: 1980
Genre: Mathematics
ISBN:

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Some memorable incidentes in probabilistic/statistica studies; Large deviation, tests, and estimates; Applications of characteristic function in solving some distribution problems; A chernoff-savage theorem for correlation ranl statistics with applications to sequential testing; Wiener - levy models, spherically exchangeable time series, and simultaneous inference in growth curve analysis; A note to the chung - erdors - sirao theorem; Asymptotic separation of distribution and convergence properties of tests and estimators; Density estimation: are theoretical results useful in practice? Stability theorems for characterizations of the normal and of the degenerate distribution; Estimation of the support contour-line of a probability law: limit law; Some estimation problems for the compound poisson distribution; A decomposition of infinite order and extreme multivariate distributions; Correction terms for multinomial large deviations; On a theorem of hoeffding; Sequential minimum probability ratio tests.