Geodesic
Asymptotic behavior of central order statistics under monotone normalization
Teoriâ veroâtnostej i ee primeneniâ, Tome 58 (2013) no. 1, pp. 177-192

Voir la notice de l'article provenant de la source Math-Net.Ru

N. V. Smirnov [Tr. Mat. Inst. Steklova 25, 59 p. (1949; Zbl 0041.45301)] derived four limit types of distributions for linearly normalized central order statistics under the weak convergence. In this paper we investigate the possible limit distributions of the kth upper order statistics with central rank using monotone regular norming sequences and obtain 13 possible types.
Keywords: $k$th upper order statistic; central rank; monotone normalization; regular norming sequence. 
@article{TVP_2013_58_1_a9,
     author = {E. I. Pancheva and A. Gacovska},
     title = {Asymptotic behavior of central order statistics under monotone normalization},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {177--192},
     publisher = {mathdoc},
     volume = {58},
     number = {1},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TVP_2013_58_1_a9/}
}
TY  - JOUR
AU  - E. I. Pancheva
AU  - A. Gacovska
TI  - Asymptotic behavior of central order statistics under monotone normalization
JO  - Teoriâ veroâtnostej i ee primeneniâ
PY  - 2013
SP  - 177
EP  - 192
VL  - 58
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TVP_2013_58_1_a9/
LA  - en
ID  - TVP_2013_58_1_a9
ER  - 
%0 Journal Article
%A E. I. Pancheva
%A A. Gacovska
%T Asymptotic behavior of central order statistics under monotone normalization
%J Teoriâ veroâtnostej i ee primeneniâ
%D 2013
%P 177-192
%V 58
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TVP_2013_58_1_a9/
%G en
%F TVP_2013_58_1_a9
E. I. Pancheva; A. Gacovska. Asymptotic behavior of central order statistics under monotone normalization. Teoriâ veroâtnostej i ee primeneniâ, Tome 58 (2013) no. 1, pp. 177-192. http://geodesic.mathdoc.fr/item/TVP_2013_58_1_a9/