@article{Leipus2023, 
author = {Remigijus Leipus and Jonas Šiaulys and Dimitrios Konstantinides},
title = {Minimum of heavy-tailed random variables is not heavy tailed},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {6},
pages = {13066-13072},
keywords = {heavy-tailed distribution, closure properties, minimum of random variables, closure under minimum, generalized long-tailed distribution},
url = {https://www.sciopen.com/article/10.3934/math.2023658},
doi = {10.3934/math.2023658},
abstract = {By constructing an appropriate example, we show that the class of heavy-tailed distributions is not closed under minimum. We provide two independent heavy-tailed random variables, such that their minimum is not heavy tailed. In addition, we establish a few properties of the distributions considered in the example.}
}