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Goodness-of-Fit Tests

2018
Based on the substitution principle, we derive one-sample goodness-of-fit tests of Kolmogorov-Smirnov and Cramer-von Mises type, respectively. In the case of a completely specified null hypothesis, these tests are distribution-free, if the cumulative distribution function under the null is a continuous function. In the case of composite null hypotheses,
  +4 more sources

On the power of goodness-of-fit tests for the exponential distribution under progressive Type-II censoring

Journal of Statistical Computation and Simulation, 2019
The aim of this article is to review existing goodness-of-fit tests for the exponential distribution under progressive Type-II censoring and to provide some new ideas and adjustments.
M. Döring, E. Cramer
semanticscholar   +1 more source

Goodness-of-Fit Tests

1998
Goodness-of-fit tests are used to validate the use of a particular distribution to describe data arising from sampling or experimentation. Numerous goodness-of-fit tests have been developed. The power divergence family of test statistics includes Pearson’s chi-squared test, the likelihood ratio test, and the Freeman-Tukey chi-squared test.
Linda J. Young, Jerry H. Young
openaire   +1 more source

Goodness-of-Fit Tests

2001
Goodness-of-fit techniques are essential for determining whether hypothetical models fit observed data. When at all reasonable, exact tests are preferred to either nonasymptotic or, especially, asymptotic tests. In addition, the structures of these tests yield entirely different detection capabilities for varying alternatives. A selection of techniques
Paul W. Mielke, Kenneth J. Berry
openaire   +1 more source

EDF goodness-of-fit tests based on centre-outward ordering

Journal of nonparametric statistics (Print), 2018
The Kolmogorov-Smirnov (KS) test, the Cramér-von Mises (CvM) test, and the Anderson-Darling (AD) test are widely used goodness-of-fit tests based on the empirical distribution function (EDF).
Jun Yu Li
semanticscholar   +1 more source

Research of Statistic Distributions of Nonparametric Goodness-of-Fit Tests by Large Samples

IEEE International Conference on Actual Problems of Electronics Instrument Engineering, 2018
The paper is devoted to application of nonparametric goodness-of-fit tests in the case of large samples. The main purpose is to develop the algorithm of application of nonparametric goodness-of- fit tests in the case of large samples.
M. Semenova, Dmitry S. Khalin
semanticscholar   +1 more source

Goodness-of-Fit Tests

2011
Goodness-of-fit tests are batteries of tests that test that the distribution of a sample is equal to some fixed-in-advance distribution. We already saw Q–Q plots in Chap. 5 where the samples were compared to some theoretical distributions but in a descriptive fashion, without formal inference.
openaire   +1 more source

Goodness-of-fit tests for the Weibull distribution based on the Laplace transform and Stein’s method

Annals of the Institute of Statistical Mathematics, 2023
B. Ebner   +3 more
semanticscholar   +1 more source

Length tests for goodnesss-of-fit

Biometrika, 1991
Consider an i.i.d. sample X 1,..., X n with distribution function F, which throughout is assumed to be twice continuously differentiable with support [0,1] and strictly positive derivative on [0,1]. Denote by $$0={X_{0:n}}\leqslant {X_{1:n}}\leqslant\cdots\leqslant{X_{n:n}}\leqslant{X_{n+1:n}}=1$$ (1) the order statistics, and the spacings by
Reschenhofer, Erhard, Bomze, Immanuel
openaire   +2 more sources

A comparison of goodness-of-fit tests for the logistic regression model.

Statistics in Medicine, 1997
D. Hosmer   +3 more
semanticscholar   +1 more source

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