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 |
. |
Category:
|
math |
. |
MSC:
|
60E05 |
MSC:
|
60F05 |
MSC:
|
62E20 |
MSC:
|
62G10 |
idZBL:
|
Zbl 0336.62034 |
idMR:
|
MR0405669 |
. |
Date available:
|
2008-06-05T20:51:16Z |
Last updated:
|
2012-04-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105698 |
. |
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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