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
Complete convergence of triangular arrays and the law of the iterated logarithm for U-statistics
โ Scribed by Herold Dehling
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 118 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0167-7152
No coin nor oath required. For personal study only.
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The Chung Smirnov law of the iterated logarithm and the Finkelstein functional law of the iterated logarithm for empirical processes are used to establish new results on the central limit theorem, the law of the iterated logarithm, and the strong law of large numbers for L-statistics with certain bo
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