On the complete convergence for randomly indexed partial sums and the limit behaviour of a sequence of quantiles |
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| Authors: | Anna Kuczmaszewska and Dominik Szynal |
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| Affiliation: | Institute of Mathematics, Marie Curie-Skkodowska University, 20-031 Lublin, Poland |
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| Abstract: | This note contains result on the complete convergence of randomly indexed partial sums of independent non-identically distributed random variables. We use them to investigate the limit behaviour of quantiles of a sample with a random numbers of items. |
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| Keywords: | Complete convergence limit behaviour of quantiles random indices slowly varying function |
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