## The Annals of Mathematical Statistics

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

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

#### 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**

links.jstor.org

#### Citation

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