On Dwass' method for deriving the distribution of rank order statistics

B. R. Handa; Sri Gopal Mohanty

Aplikace matematiky (1979)

  • Volume: 24, Issue: 6, page 458-468
  • ISSN: 0862-7940

Abstract

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This note presents a critical examination of Dwass' method for obtaining the distribution of rank order statistics defined on random samples obtained from the same continuous population. New situations are discussed for the usefulness of the method.

How to cite

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Handa, B. R., and Mohanty, Sri Gopal. "On Dwass' method for deriving the distribution of rank order statistics." Aplikace matematiky 24.6 (1979): 458-468. <http://eudml.org/doc/15122>.

@article{Handa1979,
abstract = {This note presents a critical examination of Dwass' method for obtaining the distribution of rank order statistics defined on random samples obtained from the same continuous population. New situations are discussed for the usefulness of the method.},
author = {Handa, B. R., Mohanty, Sri Gopal},
journal = {Aplikace matematiky},
keywords = {Dwass’ method; distribution of rank order statistics; Dwass' method; distribution of rank order statistics},
language = {eng},
number = {6},
pages = {458-468},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On Dwass' method for deriving the distribution of rank order statistics},
url = {http://eudml.org/doc/15122},
volume = {24},
year = {1979},
}

TY - JOUR
AU - Handa, B. R.
AU - Mohanty, Sri Gopal
TI - On Dwass' method for deriving the distribution of rank order statistics
JO - Aplikace matematiky
PY - 1979
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 24
IS - 6
SP - 458
EP - 468
AB - This note presents a critical examination of Dwass' method for obtaining the distribution of rank order statistics defined on random samples obtained from the same continuous population. New situations are discussed for the usefulness of the method.
LA - eng
KW - Dwass’ method; distribution of rank order statistics; Dwass' method; distribution of rank order statistics
UR - http://eudml.org/doc/15122
ER -

References

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  2. Aneja K. G., Random walk and rank order statistics, Thesis submitted to Delhi University (1975). (1975) 
  3. Dwass M., 10.1214/aoms/1177698773, Ann. Math. Statist., 38, (1967), 1042-1053. (1967) Zbl0162.50204MR0215463DOI10.1214/aoms/1177698773
  4. Erdelyi A., et al, Higher transcendental functions, Vol. 1, Bateman manuscript project, McGraw-Hill, (1953). (1953) Zbl0052.29502
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  8. Mohanty S. G., 10.1137/1008105, SIAM Review, 8 (1966), 501-509. (1966) Zbl0144.00302MR0213246DOI10.1137/1008105
  9. Mohanty S. G., Handa B. R., Rank order statistics related to a generalized random walk, Studia Sci. Math. Hungar., 5, (1970), 267-276. (1970) Zbl0237.62040MR0295488
  10. Očka I., Simple random walk and rank order statistics, Aplikace Matematiky, 22, (1977), 272-290. (1977) Zbl0394.62029MR0438583
  11. Reimann J., Vincze I., On the comparison of two samples with slightly different sizes, Publ. Math. Inst. Hung. Acad. Sciences, 5, (1960), 293-309. (1960) Zbl0201.52701MR0132649
  12. Šidák Z., Applications of random walk in non-parametric statistics, Proceedings of the 39th Session of International Statistical Institute (1973), 34-43. (1973) MR0356357
  13. Steck G. P., Simmons G. J., On the distributions of R m n + and ( D m n + , R m n + ) , Studia Sci. Math. Hungar. 8 (1973), 79-89. (1973) Zbl0277.62011MR0339374

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