On Complete Convergence of Distributions and Expected Values of Order Statistics

Nair, K. Aiyappan

Ann. Probab., Tome 5 (1977) no. 6, p. 826-827 / Harvested from Project Euclid

Résumé

Let $\{F_m\}$ be a sequence of distribution functions and $X(r, n, m)$ be the $r$th order statistic in a sample of size $n$ from $F_m$. In this note we establish a relationship between the convergences of $F_m$ and $EX(r, n, m)$ as $m \rightarrow \infty$.

Publié le : 1977-10-14
Classification: Complete convergence, order statistic, expected values, 60F99

@article{1176995728,
     author = {Nair, K. Aiyappan},
     title = {On Complete Convergence of Distributions and Expected Values of Order Statistics},
     journal = {Ann. Probab.},
     volume = {5},
     number = {6},
     year = {1977},
     pages = { 826-827},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176995728}
}

Nair, K. Aiyappan. On Complete Convergence of Distributions and Expected Values of Order Statistics. Ann. Probab., Tome 5 (1977) no. 6, pp.  826-827. http://gdmltest.u-ga.fr/item/1176995728/