The rate of convergence of random sums, with respect to total variation distance, is investigated for an exchangeable sequence $(X_n)$ of real random variables and a sequence $(T_n)$ of random indices, with $(T_n)$ independent of $(X_n)$.
Pratelli Luca, Rigo Pietro (2021). Convergence in total variation of random sums. MATHEMATICS, 9(2), 1-11 [10.3390/math9020194].
Convergence in total variation of random sums
Rigo Pietro
2021
Abstract
The rate of convergence of random sums, with respect to total variation distance, is investigated for an exchangeable sequence $(X_n)$ of real random variables and a sequence $(T_n)$ of random indices, with $(T_n)$ independent of $(X_n)$.File in questo prodotto:
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