The Rosenblatt coefficient of dependence and the ASCLT for some classes of weakly dependent random sequences

• Autores: Rita Giuliano
• Localización: Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 76, Fasc. 3-4, 2010, págs. 287-302
• Idioma: inglés
• DOI: 10.5486/pmd.2010.4641
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• Resumen

  • Using some Berry{Esseen type results, we prove a new bound for the Rosenblatt coe±cient of the normalized partial sums of a sequence of random variables, weakly dependent in some sense; this bound is used to prove an Almost Sure Central Limit Theorem for the same sequence.