Distribution models for nonparametric tests for fit in verifying complicated hypotheses and maximum-likelihood estimators. Part 1

Measurement Techniques

Volumn 52, Issue 6, 2009, Pages 555-565

  Lemeshko, B Yu ^a   Lemeshko, S B ^a  

^a NOVOSIBIRSK STATE TECHNICAL UNIVERSITY   (Russian Federation)

Author keywords

Anderson Darling test; Complicated hypothesis testing; Cramer Mises Smirnov test; Fit tests; Kolmogorov test

Indexed keywords

ANDERSON-DARLING TEST; COMPLICATED HYPOTHESIS TESTING; CRAMER-MISES-SMIRNOV TEST; FIT TESTS; KOLMOGOROV TEST;

COMPUTATIONAL COMPLEXITY; MAXIMUM LIKELIHOOD; SEMICONDUCTOR QUANTUM DOTS;

TESTING;

EID: 70349665370     PISSN: 05431972     EISSN: 15738906     Source Type: Journal    
DOI: 10.1007/s11018-009-9330-3     Document Type: Article

References (38)

1. AN Kolmogoroff 1933 Giornale dell' Istituto Italiano degli Attuari 4 1 83
2. LN Bol'shev 1963 Asymptotic Pearson transformations Teor. Veroyatn. Ee Primen. 8 2 129
3. L. N. Bol'shev, "Probability theory and mathematical statistics," in: Selected Works (edited by Yu. V. Prokhorov) [in Russian], Nauka, Moscow (1987).
4. L. N. Bol'shev and N. V. Smirnov, Tables for Mathematical Statistics [in Russian], Nauka, Moscow (1983).
5. TW Anderson DA Darling 1952 Ann. Math. Statist. 23 193 0048.11301 10.1214/aoms/1177729437 50238
6. TW Anderson DA Darling 1954 J. Amer. Statist. Assoc. 29 765 10.2307/2281537 69459
7. M Kac J Kiefer J Wolfowitz 1955 Ann. Math. Statist. 26 189 0066.12301 10.1214/aoms/1177728538 70919
8. DA Darling 1955 Ann. Math. Statist. 26 1 0064.13701 10.1214/aoms/ 1177728589 67439
9. DA Darling 1957 Ann. Math. Statist. 28 823 0082.13602 10.1214/aoms/1177706788 93870
10. HW Lilliefors 1967 J. Amer. Statist. Assoc. 62 399 10.2307/2283970
11. HW Lilliefors 1969 J. Amer. Statist. Assoc. 64 387 10.2307/2283748
12. J Durbin 1973 Ann. Math. Statist. 1 279 0256.62021 359131
13. J Durbin 1975 Biometrika 62 5 0297.62027 10.1093/biomet/62.1.5 381123
14. J Durbin 1976 Lect. Notes Math. 566 33 10.1007/BFb0096877 436448
15. II Gikhman 1953 Dokl. AN SSSR 91 4 715
16. I. I. Gihman, Selected Translation in Mathematical Statistics and Probability: Abstr. Amer. Math. Soc., Providence, RI, Vol. 1 (1961), p. 77.
17. G. V. Martynov, The Omega Squared Test [in Russian], Nauka, Moscow (1978).
18. KO Dzhaparidze MS Nikulin 1982 J. Soviet. Math. 20 2147 0493.62043 10.1007/BF01239992
19. MS Nikulin 1992 Math. Rep. of the Academy of Science of the Royal Society of Canada 14 4 151 0768.62032 1179071
20. MS Nikulin 1989 Zapiski Nauchnykh Seminarov LOMI 177 108
21. E. S. Pearson and H. O. Hartley, Biometric Tables for Statistics, Vol. 2, University Press, Cambridge (1972).
22. MA Stephens 1970 J. R. Stat. Soc. 32 115 0197.44902
23. MA Stephens 1974 J. Am. Statist. Assoc. 69 730 10.2307/2286009
24. M Chandra ND Singpurwalla MA Stephens 1981 J. Am. Statist. Assoc. 76 375 729 10.2307/2287539
25. Yu N Tyurin 1984 Izv. AN SSSR, Ser. Matematika 48 6 1314 0571.62009 772118
26. Yu. N. Tyurin and N. E. Savvushkina, Izv. AN SSSR, Ser. Tekhnich. Kibernet., No. 3, 109 (1984).
27. N. E. Savvushkina, Trudy VNII Sistem. Issled., No. 8, 50 (1990).
28. B. Yu. Lemeshko and S. N. Postovalov, Nadezhn. Kontrol Kach., No. 11, 3 (1997).
29. B Yu Lemeshko SN Postovalov 1998 Zav. Lab. 64 3 61
30. B. Yu. Lemeshko and S. N. Postovalov, Methods of Quality Management: Reliability and Quality Control, No. 11 [in Russian] (1999), p. 34.
31. B. Yu. Lemeshko and S. N. Postovalov, Applied Statistics: Rules for Checking Fit of an Experimental Distribution to a Theoretical One. Recommendations on Methods. Part 2: Nonparametric Tests [in Russian], Izd. NGTU, Novosibirsk (1999).
32. B. Yu. Lemeshko and S. N. Postovalov, Avtometriya, No. 2, 88 (2001).
33. Optoelectr., Instrum., and Data Proces., No. 2, 76 (2001).
34. B. Yu. Lemeshko and S. N. Postovalov, Dokl. SO AN VSh, No. 1 (5), 65 (2002).
35. B. Yu. Lemeshko and A. A. Maklakov, Avtometriya, No. 3, 3 (2004).
36. Optoelectr., Instrum., and Data Proces., 40, No. 3, 3 (2004).
37. V. I. Denisov et al., Design of Experiments and Statistical Analysis for Grouped Observations, NSTU Publishing House, Novosibirsk (2004).
38. R 50.1.037-2002, Recommendations on Standardizing Applied Statistics. Rules for Fit Testing of Experimental Distributions to Theoretical Ones. Part 2. Nonparametric Tests [in Russian].