Geodesic
Exact weak laws of large numbers with applications to ratios of random variables
Paweł Kurasiński 1   ; Przemysław Matuła 2
1 Institute of Mathematics Marie Curie-Skłodowska University pl. M. Curie-Skłodowskiej 1 20-031 Lublin, Poland
2 Institute of Mathematics Marie Curie-Skłodowska University pl. M. Curie-Skłodowskiej 1 20-031 Lublin, Poland ORCID: 0000-0003-2609-7085
Applicationes Mathematicae, Tome 47 (2020) no. 1, pp. 59-66 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/am2396-2-2020
Keywords: study convergence probability weighted sums independent random variables which necessarily identically distributed results obtained applied ratios independent random variables ratios smallest order statistics

Paweł Kurasiński  1   ; Przemysław Matuła  2

1 Institute of Mathematics Marie Curie-Skłodowska University pl. M. Curie-Skłodowskiej 1 20-031 Lublin, Poland
2 Institute of Mathematics Marie Curie-Skłodowska University pl. M. Curie-Skłodowskiej 1 20-031 Lublin, Poland ORCID: 0000-0003-2609-7085 
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     title = {Exact weak laws of large numbers with applications to ratios of random variables},
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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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