Geodesic
On the generalized sample range
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2012), pp. 21-28

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

A new statistic called “generalized sample range” is introduced and estimation of its expectation is provided. Maximum value of expectation of new range is determined. Characterization of corresponding distribution, which affords that maximum is obtained. The asymptotic behavior and limiting relations of the distribution and its characterization are considered.
Keywords: order statistics, sample range, selection differential, characterization of distributions, bounds for ordered random variables, limiting distribution, generalization of sample range. 
@article{UZERU_2012_3_a4,
     author = {V. K. Saghatelyan},
     title = {On the generalized sample range},
     journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
     pages = {21--28},
     publisher = {mathdoc},
     number = {3},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UZERU_2012_3_a4/}
}
TY  - JOUR
AU  - V. K. Saghatelyan
TI  - On the generalized sample range
JO  - Proceedings of the Yerevan State University. Physical and mathematical sciences
PY  - 2012
SP  - 21
EP  - 28
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/UZERU_2012_3_a4/
LA  - en
ID  - UZERU_2012_3_a4
ER  - 
%0 Journal Article
%A V. K. Saghatelyan
%T On the generalized sample range
%J Proceedings of the Yerevan State University. Physical and mathematical sciences
%D 2012
%P 21-28
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/UZERU_2012_3_a4/
%G en
%F UZERU_2012_3_a4
V. K. Saghatelyan. On the generalized sample range. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2012), pp. 21-28. http://geodesic.mathdoc.fr/item/UZERU_2012_3_a4/