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Empirical processes in probabilistic number theory: the LIL for the discrepancy of $(n\sb k\omega)\bmod1$

Berkes, István, Philipp, Walter, and Tichy, Robert F.
Illinois Journal of Mathematics Volume 50, Number 1-4 (2006), 107-145.

Journal article

Pair correlations and $U$-statistics for independent and weakly dependent random variables

Berkes, István, Philipp, Walter, and Tichy, Robert
Illinois Journal of Mathematics Volume 45, Number 2 (Summer 2001), 559-580.

Journal article

Limit theorems for mixing sequences without rate assumptions

Berkes, István and Philipp, Walter
The Annals of Probability Volume 26, Number 2 (April 1998), 805-831.

Journal article

Central Limit Theorems for Mixing Sequences of Random Variables Under Minimal Conditions

Dehling, Herold, Denker, Manfred, and Philipp, Walter
The Annals of Probability Volume 14, Number 4 (October, 1986), 1359-1370.

Journal article

Correction: Correction to "Weak and $L^p$-Invariance Principles for Sums of $B$-Valued Random Variables"

Philipp, Walter
The Annals of Probability Volume 14, Number 3 (July, 1986), 1095-1101.

Journal article

Some Limit Theorems for Empirical Processes: Discussion of the Paper of Professors Gine and Zinn

Alexander, Kenneth S., Dudley, R. M., Gaenssler, Peter, Philipp, Walter, Pollard, David, Pyke, Ronald, and Stute, Winfried
The Annals of Probability Volume 12, Number 4 (November, 1984), 990-998.

Journal article

Almost Sure Invariance Principles for Weakly Dependent Vector-Valued Random Variables

Dehling, Herold and Philipp, Walter
The Annals of Probability Volume 10, Number 3 (August, 1982), 689-701.

Journal article

Almost Sure Invariance Principles for Partial Sums of Mixing $B$-Valued Random Variables

Kuelbs, J. and Philipp, Walter
The Annals of Probability Volume 8, Number 6 (December, 1980), 1003-1036.

Journal article

Weak and $L^p$-Invariance Principles for Sums of $B$-Valued Random Variables

Philipp, Walter
The Annals of Probability Volume 8, Number 1 (February, 1980), 68-82.

Journal article

Approximation Thorems for Independent and Weakly Dependent Random Vectors

Berkes, Istvan and Philipp, Walter
The Annals of Probability Volume 7, Number 1 (February, 1979), 29-54.

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