Efficient and adaptive nonparametric test for the two-sample problem
作者： Teresa Ledwina , Gilles R. Ducharme
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摘要: The notion of efficient test for a Euclidean parameter in semiparametric model was introduced by Stein [Proc. Third Berkeley Symp. Math. Statist. Probab. 1 (1956) 187-195]. Such tests are locally most powerful wide class infinite-dimensional nuisance parameters. first formal application this to suitably parametrized two-sample problem provided Hajek [Ann. 33 (1962) 1124-1147]. However, and subsequent solutions appear be not well-suited practical applications. This article aims show that an adaptive recently Janic-Wroblewska Ledwina [Scand. J. 27 (2000) 281-297] is under more realistic setting.
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sci-hub.st 参考文章(31)
Tadeusz Inglot, Teresa Ledwina, ASYMPTOTIC OPTIMALITY OF DATA DRIVEN SMOOTH TESTS FOR LOCATION-SCALE FAMILY ,(2001)
P. Bajorski, Max-type rank tests in the two-sample problem Applicationes Mathematicae. ,vol. 21, pp. 371- 385 ,(1991) , 10.4064/AM-21-3-371-385
Tadeusz Inglot, Teresa Ledwina, Intermediate Approach to Comparison of Some Goodness-of-Fit Tests Annals of the Institute of Statistical Mathematics. ,vol. 53, pp. 810- 834 ,(2001) , 10.1023/A:1014669423096
Konrad Behnen, Georg Neuhaus, Rank tests with estimated scores and their application Vieweg+Teubner Verlag. ,(1989) , 10.1007/978-3-322-94762-8
Husˇkova´ Marie, Kumar Sen Pranab, On sequentially adaptive asymptotically efficient rank statistics Sequential Analysis. ,vol. 4, pp. 125- 151 ,(1985) , 10.1080/07474948508836076
Charles Stein, Efficient Nonparametric Testing and Estimation Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability, Volume 1: Contributions to the Theory of Statistics. pp. 187- 195 ,(1956)
Jacobus Oosterhoff, Combination of one-sided statistical tests MC Tracts. ,vol. 28, pp. 1- 148 ,(1969)
Jaroslav Hajek, Asymptotic Normality of Simple Linear Rank Statistics Under Alternatives Annals of Mathematical Statistics. ,vol. 39, pp. 325- 346 ,(1968) , 10.1214/AOMS/1177698394
Willem Albers, Wilbert C M Kallenberg, Felix Martini, Data-Driven Rank Tests for Classes of Tail Alternatives Journal of the American Statistical Association. ,vol. 96, pp. 685- 696 ,(2001) , 10.1198/016214501753168343
Wilbert C. M. Kallenberg, Cramér type large deviations for simple linear rank statistics Probability Theory and Related Fields. ,vol. 60, pp. 403- 409 ,(1982) , 10.1007/BF00535723