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.
Citation
Pranab Kumar Sen. "A Note on Weak Convergence of Empirical Processes for Sequences of $\phi$- Mixing Random Variables." Ann. Math. Statist. 42 (6) 2131 - 2133, December, 1971. https://doi.org/10.1214/aoms/1177693079
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