On Dwass' method for deriving the distribution of rank order statistics
Applications of Mathematics, Tome 24 (1979) no. 6, pp. 458-468
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

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.
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.
DOI : 10.21136/AM.1979.103827
Classification : 62E15, 62G10
Keywords: Dwass’ method; distribution of rank order statistics
@article{10_21136_AM_1979_103827,
     author = {Handa, B. R. and Mohanty, Sri Gopal},
     title = {On {Dwass'} method for deriving the distribution of rank order statistics},
     journal = {Applications of Mathematics},
     pages = {458--468},
     year = {1979},
     volume = {24},
     number = {6},
     doi = {10.21136/AM.1979.103827},
     mrnumber = {0547047},
     zbl = {0438.62011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1979.103827/}
}
TY  - JOUR
AU  - Handa, B. R.
AU  - Mohanty, Sri Gopal
TI  - On Dwass' method for deriving the distribution of rank order statistics
JO  - Applications of Mathematics
PY  - 1979
SP  - 458
EP  - 468
VL  - 24
IS  - 6
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.1979.103827/
DO  - 10.21136/AM.1979.103827
LA  - en
ID  - 10_21136_AM_1979_103827
ER  - 
%0 Journal Article
%A Handa, B. R.
%A Mohanty, Sri Gopal
%T On Dwass' method for deriving the distribution of rank order statistics
%J Applications of Mathematics
%D 1979
%P 458-468
%V 24
%N 6
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.1979.103827/
%R 10.21136/AM.1979.103827
%G en
%F 10_21136_AM_1979_103827
Handa, B. R.; Mohanty, Sri Gopal. On Dwass' method for deriving the distribution of rank order statistics. Applications of Mathematics, Tome 24 (1979) no. 6, pp. 458-468. doi: 10.21136/AM.1979.103827

[1] Aneja K. G., Sen K.: Random walk and distributions of rank order statistics. SIAM Journ. Appl. Math., 23, (1972), 276-287. | DOI | MR | Zbl

[2] Aneja K. G.: Random walk and rank order statistics. Thesis submitted to Delhi University (1975).

[3] Dwass M.: Simple random walk and rank order statistics. Ann. Math. Statist., 38, (1967), 1042-1053. | DOI | MR | Zbl

[4] Erdelyi A., et al: Higher transcendental functions. Vol. 1, Bateman manuscript project, McGraw-Hill, (1953). | Zbl

[5] Feller W.: An introduction to probability theory and its applications. 2rid-Edition, Wiley, (1957). | MR | Zbl

[6] Gould H. W.: Some generalizations of Vandermonde's convolution. Amer. Math. Monthly 63 (1956), 84-91. | DOI | MR | Zbl

[7] Goursat E.: A course in mathematical analysis. Vol II Part 1, Dover (1959). | MR | Zbl

[8] Mohanty S. G.: Some convolutions with multinomial coefficients and related probability distributions. SIAM Review, 8 (1966), 501-509. | DOI | MR | Zbl

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

[10] Očka I.: Simple random walk and rank order statistics. Aplikace Matematiky, 22, (1977), 272-290. | MR

[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. | MR | Zbl

[12] Šidák Z.: Applications of random walk in non-parametric statistics. Proceedings of the 39th Session of International Statistical Institute (1973), 34-43. | MR

[13] Steck G. P., Simmons G. J.: On the distributions of $R_{mn}^+$ and $(D_{mn}^+, R_{mn}^+)$. Studia Sci. Math. Hungar. 8 (1973), 79-89. | MR

Cité par Sources :