On Weak Convergence of Extremal Processes for Random Sample Sizes

Sen, Pranab Kumar

Ann. Math. Statist., Tome 43 (1972) no. 6, p. 1355-1362 / Harvested from Project Euclid

Résumé

The results of Dwass (1964) [Ann. Math. Statist. 35 1718-1725] and Lamperti (1964) [Ann. Math. Statist. 35 1726-1737] on the weak convergence of extremal processes (in the Skorokhod $J_1$-topology) to appropriate Markov processes are extended here for random sample sizes.

Publié le : 1972-08-14
Classification:

@article{1177692490,
     author = {Sen, Pranab Kumar},
     title = {On Weak Convergence of Extremal Processes for Random Sample Sizes},
     journal = {Ann. Math. Statist.},
     volume = {43},
     number = {6},
     year = {1972},
     pages = { 1355-1362},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1177692490}
}

Sen, Pranab Kumar. On Weak Convergence of Extremal Processes for Random Sample Sizes. Ann. Math. Statist., Tome 43 (1972) no. 6, pp.  1355-1362. http://gdmltest.u-ga.fr/item/1177692490/