Berti, Patrizia and Crimaldi, Irene and Pratelli, Luca and Rigo, Pietro An Anscombetype theorem. Journal of Mathematical Sciences, 196 (1). pp. 1522. ISSN 10723374 (2014)
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Official URL: http://dx.doi.org/10.1007/s1095801316296
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:  Article 

Identification Number:  10.1007/s1095801316296 
Additional Information:  Proceedings of the XXV International Seminar on Stability Problems for Stochastic Models, Maiori (Salerno), Italy, September 20–24, 2005. 
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:  21 Jun 2013 11:23 
Last Modified:  29 Jan 2014 14:34 
URI:  http://eprints.imtlucca.it/id/eprint/1622 
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AN ANSCOMBETYPE THEOREM. (deposited 01 Oct 2012 08:33)
 An Anscombetype theorem. (deposited 21 Jun 2013 11:23) [Currently Displayed]
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