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],
Limit theorems for logarithmic means
β Scribed by A.O Pittenger
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 450 KB
- Volume
- 123
- Category
- Article
- ISSN
- 0022-247X
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