Geodesic
Exact slopes of the rank statistics for the two-sample case under discrete distributions
Applications of Mathematics, Tome 26 (1981) no. 6, pp. 426-431 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
DOI : 10.21136/AM.1981.103932
Classification : 60F05, 62G10
Keywords: hypothesis of randomness; weak law of large numbers; randomized ranks; averaged scores 
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Vorlíčková, Dana. Exact slopes of the rank statistics for the two-sample case under discrete distributions. Applications of Mathematics, Tome 26 (1981) no. 6, pp. 426-431. doi: 10.21136/AM.1981.103932

[1] J. Hájek: Asymptotic sufficiency of the vector of ranks in the Bahadur sense. Ann. Statist. 2(1974), 1105-1125. | MR

[2] M. Raghavachari: On the theorem of Bahadur on the rate of convergence of test statistics. Ann. Math. Statist. 41 (1970), 1695-1699. | DOI | MR

[3] G. G. Woodworth: Large deviations and Bahadur efficiency of linear rank statistics. Ann. Math. Statist. 41 (1970), 251-283. | DOI | MR | Zbl

[4] D. Vorlíčková: Asymptotic properties of rank tests under discrete distributions. Z. Wahrscheinlichkeitstheorie. verw. Geb. 14 (1970), 275-289. | DOI | MR

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