Geodesic
A rank decision rule for a combined problem of testing and classification
Applications of Mathematics, Tome 19 (1974) no. 3, pp. 152-168
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

The paper concerns the problem of testing the hypothesis of randomness against a group of regression alternatives combined with a subsequent decision which of the alternatives is true. A rank decision rule for this problem is proposed which is locally optimal. For some special cases also the asymptotic distributions of the testing statistics are studied.
The paper concerns the problem of testing the hypothesis of randomness against a group of regression alternatives combined with a subsequent decision which of the alternatives is true. A rank decision rule for this problem is proposed which is locally optimal. For some special cases also the asymptotic distributions of the testing statistics are studied.
DOI : 10.21136/AM.1974.103526
Classification : 62G10, 62H30 
@article{10_21136_AM_1974_103526,
     author = {Nguyen, van Huu},
     title = {A rank decision rule for a combined problem of testing and classification},
     journal = {Applications of Mathematics},
     pages = {152--168},
     year = {1974},
     volume = {19},
     number = {3},
     doi = {10.21136/AM.1974.103526},
     mrnumber = {0356356},
     zbl = {0297.62028},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1974.103526/}
}
TY  - JOUR
AU  - Nguyen, van Huu
TI  - A rank decision rule for a combined problem of testing and classification
JO  - Applications of Mathematics
PY  - 1974
SP  - 152
EP  - 168
VL  - 19
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.1974.103526/
DO  - 10.21136/AM.1974.103526
LA  - en
ID  - 10_21136_AM_1974_103526
ER  - 
%0 Journal Article
%A Nguyen, van Huu
%T A rank decision rule for a combined problem of testing and classification
%J Applications of Mathematics
%D 1974
%P 152-168
%V 19
%N 3
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.1974.103526/
%R 10.21136/AM.1974.103526
%G en
%F 10_21136_AM_1974_103526
Nguyen, van Huu. A rank decision rule for a combined problem of testing and classification. Applications of Mathematics, Tome 19 (1974) no. 3, pp. 152-168. doi: 10.21136/AM.1974.103526

[1] Doob J. L.: Heuristic approach to the Kolmogorov - Smirnov theorem. Annals of Math. Stat. 20 (1949), 393-403. | DOI

[2] Hájek J., Šidák Z.: Theory of Rank Tests. Academia, Publishing House of the Czechoslovak Academy of Sciences. Praha 1967. | MR

[3] Hall I. J., Kudo A.: On slippage tests I. A generalization of Neyman-Pearson's Lemma. Annals of Math. Stat. 39 (1968), 1693-1699. | DOI | Zbl

[4] Hall I. J., Kudo A., Yeh N.C.: On slippage tests II. Similar slippage tests. Annals of Math. Stat. 39 (1968), 2029-2037. | DOI | Zbl

[5] Karlin S., Truax D. R.: Slippage problems. Annals of Math. Stat. 31 (1960), 296-324. | DOI | Zbl

[6] Mosteller F.: A k-sample slippage test for an extreme population. Annals of Math. Stat. 19 (1948), 53-65. | DOI | Zbl

[7] Nguyen van Huu: Rank test of hypothesis of randomness against a group of regression alternatives. Aplikace Matematiky 17 (1972), 422-447. | MR | Zbl

[8] Paulson E.: An optimal solution to k-sample slippage problem for the normal distribution. Annals of Math. Stat. 23 (1952), 610-616, | DOI | MR

[9] Pfanzagl J.: Ein kombiniertes Test & Klassifikations-Problem. Metrika 2 (1959), 11-45. | DOI | MR

[10] Slepian D.: The one-sided barrier problem for Gaussian noise. Bell System Techn. J. 41 (1962), 463-501. | DOI | MR

[11] Truax D. R.: An optimum slippage test for the variance of k normal distributions. Annals of Math. Stat. 24 (1953) 669-674. | DOI | MR

Cité par Sources :