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2021 / March Volume 16 No.1
Exact strong laws for functions from the bivariate Pareto distribution
Published Date
2021 / March
Title
Exact strong laws for functions from the bivariate Pareto distribution
Author
André Adler
Keyword
Almost sure convergence, strong laws of large numbers, exact strong laws, central limit theorems, bivariate Pareto distribution.
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Pagination
79-86
Abstract
We examine several functions from the bivariate Pareto distribution and obtain surprising results in regards to almost sure convergence. We look at the usual functions, such as the sum, the difference, the ratio, the maximum and the minimum as well as the ratio of the max and the min. What happens here in the nonindependent situation is quite different from what we have seen before.
DOI
10.21915/BIMAS.2021105
https://doi.org/10.21915/BIMAS.2021105
AMS Subject
Classification
60F05, 60F15
Received
2021-03-31
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