Author, Subjects, Keywords

Cited Author

 
 
   » By Author or Editor
 » Browse Author by Alphabet
 » By Journal
 » By Subjects
 » By Affiliations
 » By Type
 » By Year
 » By Latest Additions
 
 
   » By Author
 » Top 20 Authors
 » Top 20 Article
 » Top 20 Journal Cited
 » Top 20 Cited
 » Top 20 Author Cited
 » Usage Since Sept 2007


 
 
 

Login | Create Account

A Modified Anderson-Darling Test for Uniformity

Rahman, Mezbahur, and Pearson, Larry M., and Herbert, C. Heien, (2006) A Modified Anderson-Darling Test for Uniformity. Bulletin of the Malaysian Mathematical Sciences Society, 29 (1). pp. 11-16. ISSN 0126-6705

Full text not available from this repository.

Official URL: http://math.usm.my/bulletin/pdf/v29n1/v29n1p2.pdf

Affiliations

Minnesota State University

Abstract

The subject of assessing whether a data set is from a specific distribution is crucial in statistical inference. This topic is critically important for uniform distributions as in generating random samples, a random sample is taken from the standard uniform distribution and then converted to the sample as required. Two different modifications of the Anderson-Darling $A^2$ test are presented. The critical values for the modifications and the usual $A^2$ test are also re-computed for different sample sizes. This is followed by a power comparison of the various tests.


2000 Mathematics Subject Classification: 62-04

Item Type:Journal
Keywords:Cramer-von Misses test; Pearson Chi-square statistic.
Subjects:Q Science, Computer Science
ID Code:1428

[1] T.W. Anderson and D.A. Darling, Asymptotic theory of certain goodness-of-fit criteria based on stochastic processes, Ann. Math. Statistics 23 (1952), 193—212.

[2] T.W. Anderson and D.A. Darling, A test of goodness of fit, J. Amer. Statist. Assoc. 49 (1954), 765—769.

[3] R.B. D’Agostino and M.A. Stephens, Goodness-of-Fit Techniques (Eds.), Marcel Dekker, New York, 1986.

[4] W.W. Daniel, Applied nonparametric statistics, Second Edition, Duxbury Thomson Learning, Pacific Grove, CA., 1990.

[5] J.D. Gibbons and S. Chakraborti Nonparametric Statistical Inference Marcel Dekker, Inc. New York, 2003.

[6] David E.A. Giles, A saddlepoint approximation to the distribution function of the Anderson-Darling test statistic, Communications in Statistics — Simulation and Computation 30(4) (2001), 899—905.

[7] P. L’Ecuyer and P. Hellekalek, Random number generators: selection criteria and testing, Random and Quasi-Random Point sets, Lecture Notes in Statistics, no. 138, Springer (1998), 223—266.

[8] M. Rahman and S. Chakrobartty, Tests for uniformity: a comparative study, J. Korean Data & Information Sci. Soc. 15(1) (2004), 211—218.

[9] J. van Soest, Some goodness of fit tests for the exponential distribution, Statist. Neerlandica 23 (1969), 41—51.

[10] G.S. Watson, Goodness-of-fit tests on a circle, Biometrika 48 (1961), 109—114.

Repository Staff Only: item control page
 
 
 
 
 
   
© Copyright 2007 MyAIS Faculty of Computer Science and Information Technology, University of Malaya – All Rights Reserved. Malaysian Abstracting and Indexing System is powered by EPrints 3 which is developed by the School of Electronics and Computer Science at the University of Southampton. More information and software credits.