Fluctuations of the power variation of fractional Brownian motion in Brownian time

被引:3
作者
Zeineddine, Raghid [1 ]
机构
[1] Univ Lorraine, Inst Elie Cartan Lorraine, F-54506 Vandoeuvre Les Nancy, France
关键词
fractional Brownian motion; fractional Brownian motion in Brownian time; Hermite polynomials; iterated Brownian motion; limit theorem; MULTIPLE STOCHASTIC INTEGRALS; CENTRAL LIMIT-THEOREMS;
D O I
10.3150/13-BEJ586
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
We study the fluctuations of the power variation of fractional Brownian motion in Brownian time.
引用
收藏
页码:760 / 780
页数:21
相关论文
共 14 条
  • [1] Power variation for Gaussian processes with stationary increments
    Barndorff-Nielsen, Ole E.
    Manuel Corcuera, Jose
    Podolskij, Mark
    [J]. STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2009, 119 (06) : 1845 - 1865
  • [2] CENTRAL LIMIT-THEOREMS FOR NON-LINEAR FUNCTIONALS OF GAUSSIAN FIELDS
    BREUER, P
    MAJOR, P
    [J]. JOURNAL OF MULTIVARIATE ANALYSIS, 1983, 13 (03) : 425 - 441
  • [3] Burdzy K, 1998, ANN APPL PROBAB, V8, P708
  • [4] BURDZY K, 1993, PROG PROBAB, V33, P67
  • [5] Burdzy K., 1994, LECT NOTES, V5, P35
  • [6] LIMIT-THEOREM RELATED TO A NEW CLASS OF SELF SIMILAR PROCESSES
    KESTEN, H
    SPITZER, F
    [J]. ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1979, 50 (01): : 5 - 25
  • [7] Khoshnevisan D, 1999, ANN APPL PROBAB, V9, P629
  • [8] Khoshnevisan D, 1999, PROG PROBAB, V45, P201
  • [9] The uniform modulus of continuity of iterated Brownian motion
    Khoshnevisan, D
    Lewis, TM
    [J]. JOURNAL OF THEORETICAL PROBABILITY, 1996, 9 (02) : 317 - 333
  • [10] Corcuera JM, 2006, BERNOULLI, V12, P713