Limit theorems for Bajraktarević and Cauchy quotient means of independent identically distributed random variables
نویسندگان
چکیده
We derive strong laws of large numbers and central limit theorems for Bajraktarević, Gini exponential- (also called Beta-type) logarithmic Cauchy quotient means independent identically distributed (i.i.d.) random variables. The a sequence i.i.d. variables behave asymptotically normal with the usual square root scaling just like geometric given Somewhat surprisingly, multiplicative in rather different way: order to get non-trivial distribution time dependent centering is needed.
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ژورنال
عنوان ژورنال: Aequationes Mathematicae
سال: 2021
ISSN: ['0001-9054', '1420-8903']
DOI: https://doi.org/10.1007/s00010-021-00813-x