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The law of the iterated logarithm for empirical processes on Vapnik-Červonenkis classes

✍ Scribed by Kenneth S. Alexander; Michel Talagrand

Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
572 KB
Volume
30
Category
Article
ISSN
0047-259X

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📜 SIMILAR VOLUMES

Stable Limits for Empirical Processes on
Stable Limits for Empirical Processes on Vapnik-Červonenkis Classes of Functions
✍ J. Romo 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 492 KB

Alexander's (1987, Ann. Probah. 15 178-203) central limit theorem for empirical processes on Vapnik-Cervonenkis classes of functions is extended to the case with non-Gaussian stable limits. The corresponding weak laws of large numbers are also established. \& 1993 Academic Press. Inc.

The Law of the Iterated Logarithm for U-
The Law of the Iterated Logarithm for U-Processes
✍ M.A. Arcones 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 311 KB

Sufficient conditions for the law of the iterated logarithm for non-degenerate U-processes are presented. The law of the iterated logarithm for V-C subgraph classes of functions is obtained under second moment of the envelope. A bracketing condition for the law of the iterated logarithm for U-proces

On the Law of The Iterated Logarithm for
On the Law of The Iterated Logarithm for Rapidly Increasing Subsequences
✍ Rainer Schwabe; Allan Gut 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 490 KB

The usual law of the iterated logarithm states that the partial sums Sn of independent and identically distributed random variables can be normalized by the sequence an = d -, such that limsup,,, &/a, = t/z a. 9.. As has been pointed out by GUT (1986) the law fails if one considers the limsup along