The power of goodness of fit tests for close alternatives

Measurement Techniques

Volumn 50, Issue 2, 2007, Pages 132-141

  Lemeshko, B Yu ^a   Lemeshko, S B ^a   Postovalov, S N ^a  

^a NOVOSIBIRSK STATE TECHNICAL UNIVERSITY   (Russian Federation)

Author keywords

Anderson Darling; Cramer von Mises Smirnov; Goodness of fit power; Goodness of fit tests; Kolmogorov; Pearson,Rao Robson Nikulin

Indexed keywords

ANDERSON-DARLING; CRAMER-VON MISES-SMIRNOV; GOODNESS OF FIT POWER; GOODNESS OF FIT TESTS; KOLMOGOROV;

COMPUTER SIMULATION; ESTIMATION;

STATISTICAL TESTS;

EID: 34249096568     PISSN: 05431972     EISSN: 15738906     Source Type: Journal    
DOI: 10.1007/s11018-007-0036-0     Document Type: Conference Paper

References (18)

1. L. N. Bol'shev and N. V. Smirnov, Tables of Mathematical Statistics [in Russian], Nauka, Moscow (1983).
2. L. N. Bol'shev, Teor. Vervyat. Primenen., 8, No. 2, 129 (1963).
3. M. Kac, J. Kiefer, and J. Wolfowitz, Ann. Math. Stat., 26, 189 (1955).
4. R 50.1.037-2002, Recommendations on Standardization. Applied Statistics. Rules for Checking the Goodness of Fit of an Experimental Distribution with Theoretical Ones. Pt. II. Nonparametric Test [in Russian], Izd. Standartov, Moscow (2002).
5. B. Yu. Lemeshko and S. N. Postovalov, Zavod. Lab., 64, No. 3, 61 (1998).
6. B. Yu. Lemeshko and S. N. Postovalov, Zavod. Lab., 67, No. 7, 62 (2001).
7. B. Yu. Lemeshko and S. N. Postovalov, Avtometr., No. 2, 88 (2001).
8. B. Yu. Lemeshko and A. A. Maklakov, Avtometr., No. 3, 3 (2004).
9. G. Cramer, Mathematical Methods of Statistics [Russian translation], Mir, Moscow (1975).
10. B. Yu. Lemeshko and E. V. Chimitova, Zavod. Lab. Diagnostika, Materialov, 70, No. 1, 54 (2004).
11. R 50.1.033-2001, Recommendations on Standardization. Applied Statistics. Rules for Checking the Goodness of Fit of an Experimental Distribution with Theoretical Ones. Pt. I. Chi-Squared Type Tests [in Russian], Izd. Standartov, Moscow (2002).
12. B. Yu. Lemeshko, Zavod. Lab., 64, No. 1, 56 (1998).
13. A. W. Van der Vaart, Asymptotic Statistics, University Press, Cambridge (1998).
14. M. S. Nikulin, Teor. Veroyat. Primeneniya, XVIII, No. 3, 675 (1973).
15. M. Mirvaliev and M. S. Nikulin, Zavod. Lab., 58 No. 3, 52 (1992).
16. P. E. Greenwood and M. S. Nikulin, A Guide to Chi-Squared Testing, John Wiley, New York (1996).
17. B. Yu. Lemeshko and E. V. Chimitova, Zavod. Lab. Diagnostika Materialov, 69, No. 1, 61 (2003).
18. B. Yu. Lemeshko and S. B. Lemeshko, Metrologiya, No. 2, 3 (2005).