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 $(X_n)$.
Convergence in total variation of random sums / Pratelli Luca; Rigo Pietro. - In: MATHEMATICS. - ISSN 2227-7390. - ELETTRONICO. - 9:2(2021), pp. 194.1-194.11. [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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