Asymptotic expansion and a local limit theorem for the signed Wilcoxon statistic

Zuzana Prášková

Commentationes Mathematicae Universitatis Carolinae (1976)

  • Volume: 017, Issue: 2, page 335-344
  • ISSN: 0010-2628

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Prášková, Zuzana. "Asymptotic expansion and a local limit theorem for the signed Wilcoxon statistic." Commentationes Mathematicae Universitatis Carolinae 017.2 (1976): 335-344. <http://eudml.org/doc/16756>.

@article{Prášková1976,
author = {Prášková, Zuzana},
journal = {Commentationes Mathematicae Universitatis Carolinae},
language = {eng},
number = {2},
pages = {335-344},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Asymptotic expansion and a local limit theorem for the signed Wilcoxon statistic},
url = {http://eudml.org/doc/16756},
volume = {017},
year = {1976},
}

TY - JOUR
AU - Prášková, Zuzana
TI - Asymptotic expansion and a local limit theorem for the signed Wilcoxon statistic
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1976
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 017
IS - 2
SP - 335
EP - 344
LA - eng
UR - http://eudml.org/doc/16756
ER -

References

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  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). (1974) 
  2. BICKEL P. J., Edgeworth expansions in nonparametric statistics, Ann. Statist. 2 (1974), 1-20. (1974) Zbl0284.62018MR0350952
  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. (1974) Zbl0283.62017
  4. DANILOV V. L., A Survey of Mathematical Analysis I, (in Czech), SNTL (Prague, 1968). (1968) 
  5. ESSEEN C. G., Fourier analysis of distribution functions. A mathematical study of the Laplace-Gaussian law, Acta Mathematica 77 (1945), 1-125. (1945) Zbl0060.28705MR0014626
  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. (1964) MR0166883
  7. HÁJEK J., Nonparametric Statistics, Holden-Day (San Francisco, 1969). (1969) MR0246467
  8. PETROV V. V., The Sums of Independent Random Variables, (in Russian), Nauka (Moscow, 1972). (1972) MR0322927
  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). (1976) MR0405670
  10. ROGERS W. F., Exact null distributions and asymptotic expansions for rank test statistics, Technical Report (Stanford University, 1971). (1971) MR2620718
  11. VÍZKOVÁ Z., Local limit theorems for some rank test statistics, (in Czech), Ph D thesis (Prague, 1974). (1974) 

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