Geodesic
Simple random walk and rank order statistics
Applications of Mathematics, Tome 22 (1977) no. 4, pp. 272-290

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The distributions of rank order statistics are studied for the case of arbitrary sample sizes in the two sample problem. The method applied is a generalization of Dwass's method from his paper in Ann. Math. Statist. 38 (1967), based on the analogy of rank order statistics and functions on a simple random walk.
The distributions of rank order statistics are studied for the case of arbitrary sample sizes in the two sample problem. The method applied is a generalization of Dwass's method from his paper in Ann. Math. Statist. 38 (1967), based on the analogy of rank order statistics and functions on a simple random walk.
DOI : 10.21136/AM.1977.103703
Classification : 62G10, 62G30
Keywords: two sample problem; rank order statistics; simple random walk; exact distributions 
Očka, Igor. Simple random walk and rank order statistics. Applications of Mathematics, Tome 22 (1977) no. 4, pp. 272-290. doi: 10.21136/AM.1977.103703
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[1] M. Dwass: Simple random walk and rank order statistics. Ann. Math. Statist. 38 (1967), 1042-1053. | DOI | MR | Zbl

[2] W. Feller: An introduction to probability theory and its applications. 2nd edition. J. Wiley, New York 1967. | MR | Zbl

[3] S. G. Mohanty B. R. Handa: Rank order statistics related to a generalized random walk. Studia Sci. Math. Hung. 5 (1970), 267-276. | MR

[4] J. Reimann I. Vincze: On the comparison of two samples with slightly different sizes. A Magyar Tud. Akad. matem. Kutató Intezetének Közleményei 5 (1960), 293-300. | MR

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