# AN ANSCOMBE-TYPE THEOREM

Berti, Patrizia and Crimaldi, Irene and Pratelli, Luca and Rigo, Pietro AN ANSCOMBE-TYPE THEOREM. Technical Report (Submitted)

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## 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.

Item Type: Working Paper (Technical Report) Anscombe theorem, Exchangeability, Random indices, Random sums, Stable convergence Q Science > QA Mathematics Economics and Institutional Change Irene Crimaldi 01 Oct 2012 08:33 01 Oct 2012 08:33 http://eprints.imtlucca.it/id/eprint/1386