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2025 / March Volume 20 No.1
Exact strong laws for the products of random variables
Published Date
2025 / March
Title
Exact strong laws for the products of random variables
Author
André Adler
Keyword
Almost sure convergence, exact strong laws
Download
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Pagination
59-66
Abstract
Consider independent pairs of random variables without a finite first moment. We show that an Exact Strong Law exists for the product of these two random variables. The continuous case isn't difficult, but the discrete case is not easy at all. The example we use for the discrete distribution case is the famous St. Petersburg Game.
DOI
10.21915/BIMAS.2025102
https://doi.org/10.21915/BIMAS.2025102
AMS Subject
Classification
60F15
Received
2024-08-18
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