On the Sum of Gaussian Martingale and an Independent Fractional Brownian Motion

IF 0.5 4区数学 Q4 STATISTICS & PROBABILITY

Theory of Probability and its Applications Pub Date : 2023-08-01 DOI:10.1137/s0040585x97t991441

R. Belfadli, M. Chadad, M. Erraoui

引用次数: 0

Abstract

In the same context as in the seminal paper [P. Cheridito, Bernoulli, 7 (2001), pp. 913--934], we are concerned with the semimartingale property of the sum of some Gaussian martingale and an independent fractional Brownian motion with Hurst parameter $H \in (0,1)$. At the same time, we emphasize that the Markov property is lost even if the martingale owns it.

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高斯鞅与独立分数布朗运动的和

在与开创性论文相同的上下文中[P。Cheridito, Bernoulli, 7 (2001)， pp. 913—934]，我们关注具有Hurst参数$H \in(0,1)$的高斯鞅和独立分数布朗运动的和的半鞅性质。同时，我们强调即使鞅拥有马尔可夫属性，马尔可夫属性也会丢失。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Theory of Probability and its Applications 数学-统计学与概率论

CiteScore

1.00

自引率

16.70%

发文量

审稿时长

6 months

期刊介绍： Theory of Probability and Its Applications (TVP) accepts original articles and communications on the theory of probability, general problems of mathematical statistics, and applications of the theory of probability to natural science and technology. Articles of the latter type will be accepted only if the mathematical methods applied are essentially new.