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 SM ISO690:2012ZBĂGANU, Gheorghiță. The broken stick model. The optimality ptoperty of the uniform distribution. In: Conference on Applied and Industrial Mathematics: CAIM 2018, 20-22 septembrie 2018, Iași, România. Chișinău, Republica Moldova: Casa Editorial-Poligrafică „Bons Offices”, 2018, Ediţia a 26-a, pp. 78-79. ISBN 978-9975-76-247-2. |
| EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
| Conference on Applied and Industrial Mathematics Ediţia a 26-a, 2018 |
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Conferința "Conference on Applied and Industrial Mathematics" Iași, România, Romania, 20-22 septembrie 2018 | ||||||
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| Pag. 78-79 | ||||||
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The problem. Let I = [0; l] be a stick of length l: Let (Xn)1nN+1 be iid absolutely continuous random variables valued into I and let F be their distribution. Let (Xn:N) 1nN+1 be their order statistic and Yn = Xn:N - X(n-1):N; 1 n N + 1 be the corresponding spacings. Here X0:N = 0: Let Gn = Gn (F) = 1 N X NYn l be the normalized empirical distributions of the spacings. |
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