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Random Averaging of Vector Elements

✍ Scribed by Frank Proschan and Moshe Shaked

Book ID
124881563
Publisher
Society for Industrial and Applied Mathematics
Year
1984
Tongue
English
Weight
410 KB
Volume
44
Category
Article
ISSN
0036-1399

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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],

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