# Simple random walk and rank order statistics

Aplikace matematiky (1977)

- Volume: 22, Issue: 4, page 272-290
- ISSN: 0862-7940

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topOčka, Igor. "Simple random walk and rank order statistics." Aplikace matematiky 22.4 (1977): 272-290. <http://eudml.org/doc/15014>.

@article{Očka1977,

abstract = {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.},

author = {Očka, Igor},

journal = {Aplikace matematiky},

keywords = {two sample problem; rank order statistics; simple random walk; exact distributions; Two Sample Problem; Rank Order Statistics; Simple Random Walk; Exact Distributions},

language = {eng},

number = {4},

pages = {272-290},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Simple random walk and rank order statistics},

url = {http://eudml.org/doc/15014},

volume = {22},

year = {1977},

}

TY - JOUR

AU - Očka, Igor

TI - Simple random walk and rank order statistics

JO - Aplikace matematiky

PY - 1977

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 22

IS - 4

SP - 272

EP - 290

AB - 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.

LA - eng

KW - two sample problem; rank order statistics; simple random walk; exact distributions; Two Sample Problem; Rank Order Statistics; Simple Random Walk; Exact Distributions

UR - http://eudml.org/doc/15014

ER -

## References

top- M. Dwass, 10.1214/aoms/1177698773, Ann. Math. Statist. 38 (1967), 1042-1053. (1967) Zbl0162.50204MR0215463DOI10.1214/aoms/1177698773
- W. Feller, An introduction to probability theory and its applications, 2nd edition. J. Wiley, New York 1967. (1967) Zbl0158.34902MR0243559
- S. G. Mohanty B. R. Handa, Rank order statistics related to a generalized random walk, Studia Sci. Math. Hung. 5 (1970), 267-276. (1970) MR0295488
- 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. (1960) MR0132649

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