1993Stochastics and stochastics reportsRequires access

A martingale representation theorem for two independent semimartingales

Xing-Xiong Xue

Open publisher page 7 citations

Abstract

Suppose that X 1and X 1 are independent semimartingales and both filtrations and have the martingale representation property, then the filtration also has the martingale representation property, where X is a new semimartingale with X 1 and X 1 as its components

About this research paper

What this paper is about

Suppose that X 1and X 1 are independent semimartingales and both filtrations and have the martingale representation property, then the filtration also has the martingale representation property, where X is a new semimartingale with X 1 and X 1 as its components

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OpenAlex reports 7 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Suppose that X 1and X 1 are independent semimartingales and both filtrations and have the martingale representation property, then the filtration also has the martingale representation property, where X is a new semimartingale with X 1 and X 1 as its components

Key concepts: Semimartingale, Mathematics, Martingale representation theorem, Martingale (probability theory), Local martingale, Doob's martingale inequality, Martingale difference sequence, Representation theorem

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