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Title: Asymptotic expansion and a local limit theorem for the signed Wilcoxon statistic (English)
Author: Prášková, Zuzana
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 17
Issue: 2
Year: 1976
Pages: 335-344
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Category: math
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MSC: 60E05
MSC: 60F05
MSC: 62E20
MSC: 62G10
idZBL: Zbl 0336.62034
idMR: MR0405669
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Date available: 2008-06-05T20:51:16Z
Last updated: 2012-04-28
Stable URL: http://hdl.handle.net/10338.dmlcz/105698
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Reference: [1] ALBERS W., BICKEL P. J., van ZWET W. R.: Asymptotic expansions for the power of distribution free tests in the one-sample problem.Amsterdam 1974 (preprint).
Reference: [2] BICKEL P. J.: Edgeworth expansions in nonparametric statistics.Ann. Statist. 2 (1974), 1-20. Zbl 0284.62018, MR 0350952
Reference: [3] CLAYPOOL P. L., HOLBERT D.: Accuracy of normal and Edgeworth approximations to the distribution of the Wilcoxon signed rank statistic.J. Amer. Stat. Assoc. 69 (1974), 255-258. Zbl 0283.62017
Reference: [4] DANILOV V. L.: A Survey of Mathematical Analysis I.(in Czech), SNTL (Prague, 1968).
Reference: [5] ESSEEN C. G.: Fourier analysis of distribution functions. A mathematical study of the Laplace-Gaussian law.Acta Mathematica 77 (1945), 1-125. Zbl 0060.28705, MR 0014626
Reference: [6] FELLINGHAM S. A., STOKER D. J.: An approximation for the exact distribution of Wilcoxon test for symmetry.J. Amer. Stat. Assoc. 59(1964), 899-905. MR 0166883
Reference: [7] HÁJEK J.: Nonparametric Statistics.Holden-Day (San Francisco, 1969). MR 0246467
Reference: [8] PETROV V. V.: The Sums of Independent Random Variables.(in Russian), Nauka (Moscow, 1972). MR 0322927
Reference: [9] PRÁŠKOVÁ, VÍZKOVÁ Z.: Asymptotic expansion and a local limit theorem for a function of the Kendall rank correlation coefficient.to appear in Ann. Statist. 4 (1976). MR 0405670
Reference: [10] ROGERS W. F.: Exact null distributions and asymptotic expansions for rank test statistics.Technical Report (Stanford University, 1971). MR 2620718
Reference: [11] VÍZKOVÁ Z.: Local limit theorems for some rank test statistics.(in Czech), Ph D thesis (Prague, 1974).
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