Lattice Path Combinatorics and a Dominance Approach to the Two-Sample Problem

T. V. Narayana; M. Sudhakara Rad; G. N. Panoya

Cahiers du Bureau universitaire de recherche opérationnelle Série Recherche (1976)

  • Volume: 26, page 51-65
  • ISSN: 0078-950X

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Narayana, T. V., Sudhakara Rad, M., and Panoya, G. N.. "Lattice Path Combinatorics and a Dominance Approach to the Two-Sample Problem." Cahiers du Bureau universitaire de recherche opérationnelle Série Recherche 26 (1976): 51-65. <http://eudml.org/doc/272707>.

@article{Narayana1976,
author = {Narayana, T. V., Sudhakara Rad, M., Panoya, G. N.},
journal = {Cahiers du Bureau universitaire de recherche opérationnelle Série Recherche},
language = {eng},
pages = {51-65},
publisher = {Institut Henri Poincaré - Institut de Statistique de l'Université de Paris},
title = {Lattice Path Combinatorics and a Dominance Approach to the Two-Sample Problem},
url = {http://eudml.org/doc/272707},
volume = {26},
year = {1976},
}

TY - JOUR
AU - Narayana, T. V.
AU - Sudhakara Rad, M.
AU - Panoya, G. N.
TI - Lattice Path Combinatorics and a Dominance Approach to the Two-Sample Problem
JO - Cahiers du Bureau universitaire de recherche opérationnelle Série Recherche
PY - 1976
PB - Institut Henri Poincaré - Institut de Statistique de l'Université de Paris
VL - 26
SP - 51
EP - 65
LA - eng
UR - http://eudml.org/doc/272707
ER -

References

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  1. [1] Feller W. (1968) - An introduction to Probability Theory and its Applications Vol. I (3rd Edition). John Wiley, New York. Zbl0039.13201MR228020
  2. [2] Goodman E. and Narayana T.V. (1969) - Lattice paths with diagonal steps. Canad. Math. Bull.12847-855. Zbl0211.49503MR253917
  3. [3] Hajek J. (1969) A Course in Nonparametric Statistics. Holden-Day, San Francisco. Zbl0193.16901MR246467
  4. [4] Kreweras G. (1965) - Sur une classe de problèmes de dénombrement liés au treillis des partitions des entiers. Cahiers du Bureau Univ. de Rech. Opér.61-103. 
  5. [5] Landau H. (1953) - On dominance relations and the structure of animal societies : III. The conditions for a score structure. Bull. Math. Biophysics. 15143-148. MR54933
  6. [6] Lehmann E.L. (1953) - The power of rank tests. Ann. Math. Statist.2423-43. Zbl0050.14702MR54208
  7. [7] Narayana T.V. (1955 a) - Sur les treillis formés par les partitions d'un entier ; leurs applications à la théorie des probabilités. Comptes Rendus de l'Acad. des Sci.2401188-1189. Zbl0064.12705MR70648
  8. [8] Narayana T.V. (1955 b) - A combinatorial problem and its application to probability theory I. Jour. Ind. Soc. Agricult. Statist.7169-178. MR88465
  9. [9] Narayana T.V. (1974) - Sur la théorie de domination et son application aux infèrences statistiques. To appear in Compt. Rend. Acad. Sci.Paris (1975). Zbl0306.05004MR363927
  10. [10] Shorack R.A. (1967) - Tables of the distribution of the Mann-Whitney-Wilcoxon U-statistic under Lehmann alternatives. Technometries9666-677. Zbl0152.37803MR217971
  11. [11] Steck G.P. (1969) - The Smirnov tests as rank tests. Ann. Math. Statist.401449-1466. Zbl0186.52304MR246473
  12. [12] Steck G.P. (1974) - A new formula for P ( R i ≤ b i , l ≤ i ≤ m | m , n , F = G k ) Ann. Probability. 2155-160. Zbl0277.62013MR359127

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