2003Unpublished venueRequires access

Stopping Properties of Strong Martingale

Xiaohong Ren

Open publisher page 0 citations

Abstract

The present paper presents the definition of the stopping for two-parameter strong martingale and deals with the stopping properties for two-parameter strong martingale. It has been proved that the stopping for strong martingale is still strong martingale, the stopping for square integrable strong martingale is still square integrable strong martingale, the stopping for uniform integrable martingale is still uniform integrable strong martingale.

About this research paper

What this paper is about

The present paper presents the definition of the stopping for two-parameter strong martingale and deals with the stopping properties for two-parameter strong martingale. It has been proved that the stopping for strong martingale is still strong martingale, the stopping for square integrable strong martingale is still square integrable strong martingale, the stopping for uniform integrable martingale is still uniform integrable strong martingale.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

The present paper presents the definition of the stopping for two-parameter strong martingale and deals with the stopping properties for two-parameter strong martingale. It has been proved that the stopping for strong martingale is still strong martingale, the stopping for square integrable strong martingale is still square integrable strong martingale, the stopping for uniform integrable martingale is still uniform integrable strong martingale.

Key concepts: Martingale (probability theory), Doob's martingale inequality, Local martingale, Martingale difference sequence, Mathematics, Optional stopping theorem, Martingale representation theorem, Integrable system

Related papers

Back to paper searchBrowse research topicsOriginal source
Stopping Properties of Strong Martingale — Research Paper | ScholarLens