Let $(X_n)$ be a sequence of random variables (with values in a separable metric space) and $(N_n)$ a sequence of random indices. Conditions for $X_N_n$ to converge stably (in particular, in distribution) are provided. Some examples, where such conditions work but those already existing fail, are given as well.
An Anscombe-type theorem / P. Berti; I. Crimaldi; L. Pratelli; P. Rigo. - In: JOURNAL OF MATHEMATICAL SCIENCES. - ISSN 1072-3374. - STAMPA. - 196:(2014), pp. 15-22. [10.1007/s10958-013-1629-6]
An Anscombe-type theorem
P. Rigo
2014
Abstract
Let $(X_n)$ be a sequence of random variables (with values in a separable metric space) and $(N_n)$ a sequence of random indices. Conditions for $X_N_n$ to converge stably (in particular, in distribution) are provided. Some examples, where such conditions work but those already existing fail, are given as well.File in questo prodotto:
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