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arXiv · 2009.11728

Random means generated by random variables: expectation and limit theorems

Matyas Barczy·Pál Burai
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Abstract

We introduce the notion of a random mean generated by a random variable and give a construction of its expected value. We derive some sufficient conditions under which strong laws of large numbers and some limit theorems hold for random means generated by the elements of a sequence of independent and identically distributed random variables.

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Matyas Barczy, Pál Burai. 2020-09-24. Random means generated by random variables: expectation and limit theorems. https://arxiv.org/abs/2009.11728

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