On the large deviation principle of generalized Brownian bridges

被引:1
作者
Yang, Xiangfeng [1 ]
机构
[1] Linkoping Univ, Dept Math, SE-58183 Linkoping, Sweden
关键词
Large deviation principle; alpha-Brownian bridge; Rate function; EMU;
D O I
10.1016/j.jmaa.2015.05.036
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we consider a family of generalized Brownian bridges with a small noise, which was used by Brennan and Schwartz [3] to model the arbitrage profit in stock index futures in the absence of transaction costs. More precisely, we study the large deviation principle of these generalized Brownian bridges as the noise becomes infinitesimal. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码:845 / 856
页数:12
相关论文
共 50 条
[21]   The large deviation principle for a compound Poisson process [J].
Mogul’skiĭ A.A. .
Siberian Advances in Mathematics, 2017, 27 (3) :160-186
[22]   LARGE DEVIATION PRINCIPLE FOR RANDOM MATRIX PRODUCTS [J].
Sert, Cagri .
ANNALS OF PROBABILITY, 2019, 47 (03) :1335-1377
[23]   Large deviation principle for complex solution to squared [J].
Chowdhury, Arnab ;
Shekhar, Atul .
ELECTRONIC COMMUNICATIONS IN PROBABILITY, 2024, 29
[24]   A Large Deviation Principle for Weighted Riesz Interactions [J].
Bloom, Tom ;
Levenberg, Norman ;
Wielonsky, Franck .
CONSTRUCTIVE APPROXIMATION, 2018, 47 (01) :119-140
[25]   On the large deviation principle for the almost sure CLT [J].
Lifshits, MA ;
Stankevich, ES .
STATISTICS & PROBABILITY LETTERS, 2001, 51 (03) :263-267
[26]   The Discounted Large Deviation Principle for Autoregressive Processes [J].
Miao, Yu .
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2011, 40 (14) :2455-2461
[27]   Large deviation principle with generated pseudo measures [J].
Nedovic, L ;
Ralevic, NA ;
Grbic, T .
FUZZY SETS AND SYSTEMS, 2005, 155 (01) :65-76
[28]   A large deviation principle for bootstrapped sample means [J].
Li, DL ;
Rosalsky, A ;
Al-Mutairi, DK .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2002, 130 (07) :2133-2138
[29]   A large deviation principle for fluids of third grade [J].
Almeida, Adilson ;
Cipriano, Fernanda .
STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES, 2023, 95 (05) :906-940
[30]   Stochastic fractional conservation laws: large deviation principle, central limit theorem and moderate deviation principle [J].
Behera, Soumya Ranjan ;
Majee, Ananta K. .
STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS, 2025,