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2024 / September Volume 19 No.3
Exact Strong Laws for the ratio of order statistics from the St. Petersburg Game
Published Date
2024 / September
Title
Exact Strong Laws for the ratio of order statistics from the St. Petersburg Game
Author
André Adler
Keyword
Almost sure convergence, strong law of large numbers, order statistics, exact laws
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Pagination
241-249
Abstract
Consider independent pairs of St. Petersburg Games. We show that an Exact Strong Law exists for the ratio of the larger and the smaller of these two random variables. It should be noted that this is the original game which is discrete. Hence this is more complicated than our previous strong laws for order statistics. We show that there does exist an Exact Strong Law for the ratio of these random variables, and it is different from our previous Exact Strong Laws.
DOI
10.21915/BIMAS.2024303
https://doi.org/10.21915/BIMAS.2024303
AMS Subject
Classification
60F15
Received
2024-07-01
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