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math.PR2020
Random means generated by random variables: expectation and limit theorems
Matyas Barczy, Pál Burai
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…
math.PR2019
Limit theorems for Bajraktarević and Cauchy quotient means of independent identically distributed random variables
Matyas Barczy, Pál Burai
We derive strong laws of large numbers and central limit theorems for Bajraktarević, Gini and exponential- (also called Beta-type) and logarithmic Cauchy quotient means of independ…