Casi-ortogonalidad y proximidad en L2 de martingalas pii en casi intervalos

It was introduced in [2] the notion of prOcess with independent increments in near-intervals (PII), establishing the existence of a decomposition into components with certain regularity properties. In this work we deepen the study of such descomposition for a PII martingale, the components being one...

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Bibliographic Details
Main Author: Jaime Lobo Segura
Format: Article
Language:Spanish
Published: Universidad de Costa Rica 2009-02-01
Series:Revista de Matemática: Teoría y Aplicaciones
Online Access:https://revistas.ucr.ac.cr/index.php/matematica/article/view/166
Description
Summary:It was introduced in [2] the notion of prOcess with independent increments in near-intervals (PII), establishing the existence of a decomposition into components with certain regularity properties. In this work we deepen the study of such descomposition for a PII martingale, the components being one- parameter martingles with almost orthogonality and L2-proximity properties. Keywords: PII process, L2-regular martingales, totally discontinuous matingales, almost orthogonalit, L2-proximity.
ISSN:2215-3373