The Berry-Esseen theorem for rank statistics
Commentationes Mathematicae Universitatis Carolinae (1979)
- Volume: 020, Issue: 3, page 399-415
- ISSN: 0010-2628
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topHušková, Marie. "The Berry-Esseen theorem for rank statistics." Commentationes Mathematicae Universitatis Carolinae 020.3 (1979): 399-415. <http://eudml.org/doc/16981>.
@article{Hušková1979,
author = {Hušková, Marie},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {simple linear rank statistics; convergence rate; distribution free tests},
language = {eng},
number = {3},
pages = {399-415},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {The Berry-Esseen theorem for rank statistics},
url = {http://eudml.org/doc/16981},
volume = {020},
year = {1979},
}
TY - JOUR
AU - Hušková, Marie
TI - The Berry-Esseen theorem for rank statistics
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1979
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 020
IS - 3
SP - 399
EP - 415
LA - eng
KW - simple linear rank statistics; convergence rate; distribution free tests
UR - http://eudml.org/doc/16981
ER -
References
top- von BAHR B., Remainder Term Estimate in a Combinatorial Limit Theorem, Z. Wahrscheinlichkeitstheorie verw. Gebiete 35, (1976), 131-139. (1976) Zbl0366.60028MR0418187
- BERGSTRÖM H., PURI M. L., Convergence and Remainder Terms in Linear Rank Statistics, Ann. Statist. 5, (1977), 671-680. (1977) MR0451490
- CALLAERT H., JANSSEN P., The Berry-Esseen Theorem for -statistics, 6, (1978), 417-421. (1978) Zbl0393.60022MR0464359
- ERICKSON R. V., KOUL H., Rates of Convergence for Linear Rank Statistics, Ann. Statist. 4, (1976), 771-774. (1976) Zbl0332.62010MR0413356
- HÁJEK J., ŠIDÁK Z., Theory of Rank Tests, Academia, Prague, (1967). (1967) MR0229351
- HUŠOVÁ M., The Rate of Convergence of Simple Linear Rank Statistics under Hypothesis and Alternatives, Ann. Statist. 4, (1977), 658-670. (1977) MR0458711
- JUREČKOVÁ J., PURI M. L., Order of Normal Approximation for Rank Test Statistics Distribution, Am. Probability 3, (1975), 526-533. (1975) MR0378181
- DHARMADHIKARl S. W., FABIAN V., JODGEO K., Bounds on the Moments of Martingales, Ann. Math. Statist., 39, (1968), 1719-1723. (1968) MR0230363
- WELLNER J., Convergence of the sequential uniform empirical processes with bounds for centered beta rv's and a log-log law, Technical report no. 31, Univ. of Washington, (1974). (1974)
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