REAL

Strong approximations for long memory sequences based partial sums, counting and their Vervaat processes

Csáki, Endre and Csörgő, Miklós and Kulik, Rafal (2016) Strong approximations for long memory sequences based partial sums, counting and their Vervaat processes. PERIODICA MATHEMATICA HUNGARICA, 73. pp. 208-223. ISSN 0031-5303

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Abstract

We study the asymptotic behaviour of partial sums of long range dependent random variables and that of their counting process, together with an appropriately normalized integral process of the sum of these two processes, the so-called Vervaat process. The first two of these processes are approximated by an appropriately constructed fractional Brownian motion, while the Vervaat process in turn is approximated by the square of the same fractional Brownian motion. © 2016 Akadémiai Kiadó, Budapest, Hungary

Item Type: Article
Uncontrolled Keywords: Vervaat-type processes; Strong approximation; Partial sums; Long range dependence; Linear process; Fractional Brownian motion
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 02 Jan 2017 15:38
Last Modified: 02 Jan 2017 15:38
URI: http://real.mtak.hu/id/eprint/44131

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