On the a.s. convergence of certain random series to a fractional random field in

Juan Miguel Medina and Bruno Cernuschi Frías

Statistics & Probability Letters, 2005, vol. 74, issue 1, 39-49

Abstract: We prove the almost sure convergence in the sense of Schwartz distributions of certain random series. This result is useful to construct some type of fractional random fields. These series resemble the Karhunen-Loeve expansions.

Keywords: Almost; sure; convergence; Karhunen-Loeve; expansions; Schwartz; distributions; Long-range; dependence; Fractional; random; fields; Fractional; integrals (search for similar items in EconPapers)
Date: 2005
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