Limit Theorems for Logarithmic Averages
β
IstvΓ‘n Berkes; Lajos HorvΓ‘th
π
Article
π
1998
π
John Wiley and Sons
π
English
β 386 KB
π 2 views
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],