## The Annals of Mathematical Statistics

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

Pranab Kumar Sen

#### Abstract

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.

#### Article information

Source
Ann. Math. Statist., Volume 42, Number 6 (1971), 2131-2133.

Dates
First available in Project Euclid: 27 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aoms/1177693079

Digital Object Identifier
doi:10.1214/aoms/1177693079

Mathematical Reviews number (MathSciNet)
MR297006

Zentralblatt MATH identifier
0226.60008

JSTOR
Sen, Pranab Kumar. A Note on Weak Convergence of Empirical Processes for Sequences of $\phi$- Mixing Random Variables. Ann. Math. Statist. 42 (1971), no. 6, 2131--2133. doi:10.1214/aoms/1177693079. https://projecteuclid.org/euclid.aoms/1177693079