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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-Loéve expansions. © 2005 Elsevier B.V. All rights reserved.

Registro:

Documento: Artículo
Título:On the a.s. convergence of certain random series to a fractional random field in D′(ℝd)
Autor:Medina, J.M.; Frías, B.C.
Filiación:Dpto. de Matemática and LIPSIRN, Universidad de Buenos Aires, FI-UBA, Libertad 1274, 1012 Buenos Aires, Argentina
Universidad de Buenos Aires, LIPSIRN, CONICET, Libertad 1274, 1012 Buenos Aires, Argentina
Palabras clave:Almost sure convergence; Fractional integrals; Fractional random fields; Karhunen-Loéve expansions; Long-range dependence; Schwartz distributions
Año:2005
Volumen:74
Número:1
Página de inicio:39
Página de fin:49
DOI: http://dx.doi.org/10.1016/j.spl.2005.04.029
Título revista:Statistics and Probability Letters
Título revista abreviado:Stat. Probab. Lett.
ISSN:01677152
CODEN:SPLTD
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01677152_v74_n1_p39_Medina

Referencias:

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Citas:

---------- APA ----------
Medina, J.M. & Frías, B.C. (2005) . On the a.s. convergence of certain random series to a fractional random field in D′(ℝd). Statistics and Probability Letters, 74(1), 39-49.
http://dx.doi.org/10.1016/j.spl.2005.04.029
---------- CHICAGO ----------
Medina, J.M., Frías, B.C. "On the a.s. convergence of certain random series to a fractional random field in D′(ℝd)" . Statistics and Probability Letters 74, no. 1 (2005) : 39-49.
http://dx.doi.org/10.1016/j.spl.2005.04.029
---------- MLA ----------
Medina, J.M., Frías, B.C. "On the a.s. convergence of certain random series to a fractional random field in D′(ℝd)" . Statistics and Probability Letters, vol. 74, no. 1, 2005, pp. 39-49.
http://dx.doi.org/10.1016/j.spl.2005.04.029
---------- VANCOUVER ----------
Medina, J.M., Frías, B.C. On the a.s. convergence of certain random series to a fractional random field in D′(ℝd). Stat. Probab. Lett. 2005;74(1):39-49.
http://dx.doi.org/10.1016/j.spl.2005.04.029