On the a.s. convergence of certain random series to a fractional random field in D′(Rd)

被引：0
|
作者：
Medina, JM
Frías, BC
机构：
[1] Univ Buenos Aires, FI UBA, Dpto Matemat & LIPSIRN, RA-1012 Buenos Aires, DF, Argentina
[2] Consejo Nacl Invest Cient & Tecn, RA-1033 Buenos Aires, DF, Argentina
来源：
STATISTICS & PROBABILITY LETTERS | 2005年 / 74卷 / 01期
关键词：
almost sure convergence; Karhunen-Loeve expansions; Schwartz distributions; long-range dependence; fractional random fields; fractional integrals;
D O I：
10.1016/j.spl.2005.04.029
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
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. (c) 2005 Elsevier B.V. All rights reserved.
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页码：39 / 49
页数：11
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