A Note on Weak Convergence of Empirical Processes for Sequences of $\phi$- Mixing Random Variables

Sen, Pranab Kumar

Ann. Math. Statist., Tome 42 (1971) no. 6, p. 2131-2133 / Harvested from Project Euclid

Résumé

Two results of Billingsley [Convergence of Probability Measures (1968), Wiley, New York] on weak convergence of empirical distribution functions for sequences of $\phi$-mixing random variables are shown to hold under weaker conditions.

Publié le : 1971-12-14
Classification:

@article{1177693079,
     author = {Sen, Pranab Kumar},
     title = {A Note on Weak Convergence of Empirical Processes for Sequences of $\phi$- Mixing Random Variables},
     journal = {Ann. Math. Statist.},
     volume = {42},
     number = {6},
     year = {1971},
     pages = { 2131-2133},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1177693079}
}

Sen, Pranab Kumar. A Note on Weak Convergence of Empirical Processes for Sequences of $\phi$- Mixing Random Variables. Ann. Math. Statist., Tome 42 (1971) no. 6, pp.  2131-2133. http://gdmltest.u-ga.fr/item/1177693079/