Exact slopes of the rank statistics for the two-sample case under discrete distributions

Dana Vorlíčková

Aplikace matematiky (1981)

  • Volume: 26, Issue: 6, page 426-431
  • ISSN: 0862-7940

Abstract

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The author studies the linear rank statistics for testing the pypothesis of randomness against the alternative of two samples provided both are drawn grom discrete (integer-valued) distributions. The weak law of large numbers and the exact slope are obtained for statistics with randomized ranks of with averaged scores.

How to cite

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Vorlíčková, Dana. "Exact slopes of the rank statistics for the two-sample case under discrete distributions." Aplikace matematiky 26.6 (1981): 426-431. <http://eudml.org/doc/15213>.

@article{Vorlíčková1981,
abstract = {The author studies the linear rank statistics for testing the pypothesis of randomness against the alternative of two samples provided both are drawn grom discrete (integer-valued) distributions. The weak law of large numbers and the exact slope are obtained for statistics with randomized ranks of with averaged scores.},
author = {Vorlíčková, Dana},
journal = {Aplikace matematiky},
keywords = {hypothesis of randomness; weak law of large numbers; randomized ranks; averaged scores; hypothesis of randomness; weak law of large numbers; randomized ranks; averaged scores},
language = {eng},
number = {6},
pages = {426-431},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Exact slopes of the rank statistics for the two-sample case under discrete distributions},
url = {http://eudml.org/doc/15213},
volume = {26},
year = {1981},
}

TY - JOUR
AU - Vorlíčková, Dana
TI - Exact slopes of the rank statistics for the two-sample case under discrete distributions
JO - Aplikace matematiky
PY - 1981
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 26
IS - 6
SP - 426
EP - 431
AB - The author studies the linear rank statistics for testing the pypothesis of randomness against the alternative of two samples provided both are drawn grom discrete (integer-valued) distributions. The weak law of large numbers and the exact slope are obtained for statistics with randomized ranks of with averaged scores.
LA - eng
KW - hypothesis of randomness; weak law of large numbers; randomized ranks; averaged scores; hypothesis of randomness; weak law of large numbers; randomized ranks; averaged scores
UR - http://eudml.org/doc/15213
ER -

References

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  1. J. Hájek, Asymptotic sufficiency of the vector of ranks in the Bahadur sense, Ann. Statist. 2(1974), 1105-1125. (1974) MR0356355
  2. M. Raghavachari, 10.1214/aoms/1177696813, Ann. Math. Statist. 41 (1970), 1695-1699. (1970) MR0266361DOI10.1214/aoms/1177696813
  3. G. G. Woodworth, 10.1214/aoms/1177697206, Ann. Math. Statist. 41 (1970), 251-283. (1970) Zbl0211.50502MR0264804DOI10.1214/aoms/1177697206
  4. D. Vorlíčková, 10.1007/BF00533666, Z. Wahrscheinlichkeitstheorie. verw. Geb. 14 (1970), 275-289. (1970) MR0269049DOI10.1007/BF00533666

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