Geodesic
Characterization of distributions by equalities of order statistics
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 11, Tome 341 (2007), pp. 168-173 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

It is proved that the equality of two different order statistics holds for degenerate or two-point distributions only. Several samples of such equalities are considered and particular values of corresponding distribution functions are obtained. 
@article{ZNSL_2007_341_a11,
     author = {V. K. Saghatelyan},
     title = {Characterization of distributions by equalities of order statistics},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {168--173},
     year = {2007},
     volume = {341},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2007_341_a11/}
}
TY  - JOUR
AU  - V. K. Saghatelyan
TI  - Characterization of distributions by equalities of order statistics
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2007
SP  - 168
EP  - 173
VL  - 341
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2007_341_a11/
LA  - ru
ID  - ZNSL_2007_341_a11
ER  - 
%0 Journal Article
%A V. K. Saghatelyan
%T Characterization of distributions by equalities of order statistics
%J Zapiski Nauchnykh Seminarov POMI
%D 2007
%P 168-173
%V 341
%U http://geodesic.mathdoc.fr/item/ZNSL_2007_341_a11/
%G ru
%F ZNSL_2007_341_a11
V. K. Saghatelyan. Characterization of distributions by equalities of order statistics. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 11, Tome 341 (2007), pp. 168-173. http://geodesic.mathdoc.fr/item/ZNSL_2007_341_a11/

[1] V. B. Nevzorov, Rekordy. Matematicheskaya teoriya, Fazis, M., 2000 | MR | Zbl

[2] M. Ahsanullah, V. B. Nevzorov, Ordered Random Variables, NSP, NY, 2001 | MR

[3] B. C. Arnold, N. Balakrishnan, H. N. Nagaraja, A first course in order statistics, Wiley, NY, 1992 | MR