TY - JOUR
AU - Barakat, Haroon Mohamed
PY - 2002/01/01
Y2 - 2024/11/01
TI - A note on the covergence of bivariate extreme order statistics
JF - Statistica
JA - Stat
VL - 62
IS - 1
SE - Articles
DO - 10.6092/issn.1973-2201/387
UR - https://rivista-statistica.unibo.it/article/view/387
SP - 27-32
AB - In this note an interesting fact is proved that, for any vector of bivariate extreme order statistics there exists (at least) a sequence of vectors of real numbers for which the distrihution function (d.f.) of this vector converges to a nondegenerate limit if and only if its marginals converge to nondegenerate limits. Moreover, the limit splits into the product of the limit: marginals if the bivariate d.f., from which the order statistics are drawn, is of negative quadrant dependent random variables (r.v., s).
ER -