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
  • [1] A large deviation principle for the Brownian snake
    Serlet, L
    STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1997, 67 (01) : 101 - 115
  • [2] On the large deviation principle for maximum likelihood estimator of α-Brownian bridge
    Zhao, Shoujiang
    Liu, Qiaojing
    Chen, Ting
    STATISTICS & PROBABILITY LETTERS, 2018, 138 : 143 - 150
  • [3] A large deviation principle for a Brownian immigration particle system
    Mei, Z
    JOURNAL OF APPLIED PROBABILITY, 2005, 42 (04) : 1120 - 1133
  • [4] A large deviation principle of reflecting diffusions
    Sheu, SS
    TAIWANESE JOURNAL OF MATHEMATICS, 1998, 2 (02): : 251 - 256
  • [5] Refined Large Deviation Principle for Branching Brownian Motion Conditioned to Have a Low Maximum
    Bai, Yanjia
    Hartung, Lisa
    ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS, 2022, 19 (01): : 859 - 880
  • [6] Large Deviation Principle for Occupation Measures of Stochastic Generalized Burgers–Huxley Equation
    Ankit Kumar
    Manil T. Mohan
    Journal of Theoretical Probability, 2023, 36 : 661 - 709
  • [7] Quenched large deviation principle for words in a letter sequence
    Matthias Birkner
    Andreas Greven
    Frank den Hollander
    Probability Theory and Related Fields, 2010, 148 : 403 - 456
  • [8] Quenched large deviation principle for words in a letter sequence
    Birkner, Matthias
    Greven, Andreas
    den Hollander, Frank
    PROBABILITY THEORY AND RELATED FIELDS, 2010, 148 (3-4) : 403 - 456
  • [9] Large Deviation Principle for Occupation Measures of Stochastic Generalized Burgers-Huxley Equation
    Kumar, Ankit
    Mohan, Manil T.
    JOURNAL OF THEORETICAL PROBABILITY, 2023, 36 (01) : 661 - 709
  • [10] Large deviation principle for optimal filtering
    Xiong, J
    APPLIED MATHEMATICS AND OPTIMIZATION, 2003, 47 (02) : 151 - 165