Limit theorems for the logarithm of sample spacings
β Scribed by Yongzhao Shao; Marjorie G. Hahn
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 598 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0167-7152
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We prove the strong law of large numbers for logarithmic averages of random vectors. We also obtain a strong approximation for logarithmic averages. for a large class of functions a if d = 1. Earlier results are due to [IS] and [12] when a(t) = I { t 5 0). For extensions of (1.3) we refer to [17],
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