Berti, Patrizia and Crimaldi, Irene and Pratelli, Luca and Rigo, Pietro AN ANSCOMBE-TYPE THEOREM. Technical Report (Submitted)
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Official URL: http://arxiv.org/abs/1209.6473
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) |
|---|---|
| Uncontrolled Keywords: | Anscombe theorem, Exchangeability, Random indices, Random sums, Stable convergence |
| Subjects: | Q Science > QA Mathematics |
| Research Area: | Economics and Institutional Change |
| Depositing User: | Irene Crimaldi |
| Date Deposited: | 01 Oct 2012 08:33 |
| Last Modified: | 01 Oct 2012 08:33 |
| URI: | http://eprints.imtlucca.it/id/eprint/1386 |
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- AN ANSCOMBE-TYPE THEOREM. (deposited 01 Oct 2012 08:33) [Currently Displayed]
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