Exact weak laws of large numbers with applications to ratios of random variables
Applicationes Mathematicae, Tome 47 (2020) no. 1, pp. 59-66
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
We study convergence in probability of weighted sums of independent random variables which are not necessarily identically distributed. The results obtained are applied to ratios of independent random variables and ratios of smallest order statistics.
Keywords:
study convergence probability weighted sums independent random variables which necessarily identically distributed results obtained applied ratios independent random variables ratios smallest order statistics
Affiliations des auteurs :
Paweł Kurasiński 1 ; Przemysław Matuła 2
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author = {Pawe{\l} Kurasi\'nski and Przemys{\l}aw Matu{\l}a},
title = {Exact weak laws of large numbers with applications to ratios of random variables},
journal = {Applicationes Mathematicae},
pages = {59--66},
publisher = {mathdoc},
volume = {47},
number = {1},
year = {2020},
doi = {10.4064/am2396-2-2020},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/am2396-2-2020/}
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Paweł Kurasiński; Przemysław Matuła. Exact weak laws of large numbers with applications to ratios of random variables. Applicationes Mathematicae, Tome 47 (2020) no. 1, pp. 59-66. doi: 10.4064/am2396-2-2020
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