2012/09/28 by Patrizia Berti, Irene Crimaldi, Berti, Patrizia +5
Decision Sciences · Mathematics · #60B10 #60F05 #60G09 #60G57 #FOS: Mathematics #Probability (math.PR) #Probability and Risk Models #Probability and Statistical Research #Statistics Theory (math.ST) #Stochastic processes and statistical mechanics #math.PR #math.ST #msc:60B10 #msc:60F05 #msc:60G09 #msc:60G57 #stat.TH
paper · pdf · doi:10.48550/arxiv.1209.6473
10 pages, preprint
arxiv created 2012/09/28 · openalex publication_date 2012/09/28 · arxiv updated 2012/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let (Xn) be a sequence of random variables (with values in a separable metric space) and (Nn) a sequence of random indices. Conditions for XNn to converge stably (in particular, in distribution) are provided. Some examples, where such conditions work but those already existing fail, are given as well. Key words and phrases: Anscombe theorem, Exchangeability, Random indices, Random sums, Stable convergence