On functional central limit theorems for linear random fields with dependent innovations

• Autores: Mi-Hwa Ko, Hyun-Chull Kim, Tae-Sung Kim
• Localización: Anziam journal: The Australian & New Zealand industrial and applied mahtematics journal, ISSN 1446-1811, Vol. 49, Nº 4, 2008, págs. 533-541
• Idioma: inglés
• DOI: 10.1017/s1446181108000217
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• Resumen

  • For a linear random field (linear p-parameter stochastic process) generated by a dependent random field with zero mean and finite qth moments (q>2p), we give sufficient conditions that the linear random field converges weakly to a multiparameter standard Brownian motion if the corresponding dependent random field does so.