<> "The repository administrator has not yet configured an RDF license."^^ . <> . . . "A central limit theorem and its applications to multicolor randomly reinforced urns"^^ . "Let Xn be a sequence of integrable real random variables, adapted to a filtration (Gn). Define Cn = √{(1 / n)∑k=1nXk - E(Xn+1 | Gn)} and Dn = √n{E(Xn+1 | Gn) - Z}, where Z is the almost-sure limit of E(Xn+1 | Gn) (assumed to exist). Conditions for (Cn, Dn) → N(0, U) x N(0, V) stably are given, where U and V are certain random variables. In particular, under such conditions, we obtain √n{(1 / n)∑k=1nX_k - Z} = Cn + Dn → N(0, U + V) stably. This central limit theorem has natural applications to Bayesian statistics and urn problems. The latter are investigated, by paying special attention to multicolor randomly reinforced urns. "^^ . "2011" . "48" . "2" . . "Applied Probability Trust"^^ . . . "Journal of applied probability "^^ . . . "00219002" . . . . . . . . . . . . . . . . "Luca"^^ . "Pratelli"^^ . "Luca Pratelli"^^ . . "Pietro"^^ . "Rigo"^^ . "Pietro Rigo"^^ . . "Patrizia"^^ . "Berti"^^ . "Patrizia Berti"^^ . . "Irene"^^ . "Crimaldi"^^ . "Irene Crimaldi"^^ . . . . . "HTML Summary of #975 \n\nA central limit theorem and its applications to multicolor randomly reinforced urns\n\n" . "text/html" . . . "HA Statistics"@en . . . "QA Mathematics"@en . .