About DML-CZ | FAQ | Conditions of Use | Math Archives | Contact Us
  Previous |  Up |  Next

Article

First Page Preview
Vorlíčková, Dana
Exact slopes of the rank statistics for the two-sample case under discrete distributions. (English). Aplikace matematiky, vol. 26 (1981), issue 6, pp. 426-431
MSC: 60F05, 62G10 | MR 0634279 | Zbl 0478.62033 | DOI: 10.21136/AM.1981.103932
Keywords:
hypothesis of randomness; weak law of large numbers; randomized ranks; averaged scores
Summary:
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.
References:
[1] J. Hájek: Asymptotic sufficiency of the vector of ranks in the Bahadur sense. Ann. Statist. 2(1974), 1105-1125. MR 0356355
[2] M. Raghavachari: On the theorem of Bahadur on the rate of convergence of test statistics. Ann. Math. Statist. 41 (1970), 1695-1699. DOI 10.1214/aoms/1177696813 | MR 0266361
[3] G. G. Woodworth: Large deviations and Bahadur efficiency of linear rank statistics. Ann. Math. Statist. 41 (1970), 251-283. DOI 10.1214/aoms/1177697206 | MR 0264804 | Zbl 0211.50502
[4] D. Vorlíčková: Asymptotic properties of rank tests under discrete distributions. Z. Wahrscheinlichkeitstheorie. verw. Geb. 14 (1970), 275-289. DOI 10.1007/BF00533666 | MR 0269049
Partner of
EuDML logo