Bypassing the truncation problem of truncated Levy flights

被引:5
|
作者
Matsushita, Raul [1 ,5 ]
Da Silva, Sergio [2 ]
Da Fonseca, Regina [3 ]
Nagata, Mateus [4 ]
机构
[1] Univ Brasilia, Dept Stat, BR-70910900 Brasilia, DF, Brazil
[2] Univ Fed Santa Catarina, Dept Econ, BR-88040900 Florianopolis, SC, Brazil
[3] Fed Inst Goias, Dept Math, BR-74055110 Goiania, Go, Brazil
[4] Univ Brasilia, Dept Econ, BR-70910900 Brasilia, DF, Brazil
[5] Univ Brasilia, Grad Program Business Adm, BR-70910900 Brasilia, DF, Brazil
关键词
Truncated Levy flights; Power laws; Financial data; Econophysics; CONVERGENCE; LAW;
D O I
10.1016/j.physa.2020.125035
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We suggest a solution to the problem of truncation of truncated Levy flights by deductively finding a power law between the truncation length and its standard deviation. We offer a generalization where the pdf of returns is left unknown, and its distributional moments are allowed to vary in time. Our model fits well with a financial dataset, which exhibits extreme moves. (C) 2020 Elsevier B.V. All rights reserved.
引用
收藏
页数:7
相关论文
共 44 条
  • [1] On the origins of truncated Levy flights
    Figueiredo, A
    Gleria, I
    Matsushita, R
    Da Silva, S
    PHYSICS LETTERS A, 2003, 315 (1-2) : 51 - 60
  • [2] Stretched-Gaussian asymptotics of the truncated Levy flights for the diffusion in nonhomogeneous media
    Srokowski, Tomasz
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2009, 388 (07) : 1057 - 1066
  • [3] Multi-scaling properties of truncated Levy flights
    Nakao, H
    PHYSICS LETTERS A, 2000, 266 (4-6) : 282 - 289
  • [4] Crime modeling with truncated Levy flights for residential burglary models
    Pan, Chaohao
    Li, Bo
    Wang, Chuntian
    Zhang, Yuqi
    Geldner, Nathan
    Wang, Li
    Bertozzi, Andrea L.
    MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2018, 28 (09) : 1857 - 1880
  • [5] Arbitrary truncated Levy flight: Asymmetrical truncation and high-order correlations
    Vinogradov, Dmitry V.
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2012, 391 (22) : 5584 - 5597
  • [6] Autocorrelation as a source of truncated Levy flights in foreign exchange rates
    Figueiredo, A
    Gleria, I
    Matsushita, R
    Da Silva, S
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2003, 323 (SUPP) : 601 - 625
  • [7] HIGH ORDER ALGORITHMS FOR THE FRACTIONAL SUBSTANTIAL DIFFUSION EQUATION WITH TRUNCATED LEVY FLIGHTS
    Chen, Minghua
    Deng, Weihua
    SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2015, 37 (02) : A890 - A917
  • [8] Fractional- and integer-order moments, and multiscaling for smoothly truncated Levy flights
    Terdik, G
    Woyczynski, WA
    Piryatinska, A
    PHYSICS LETTERS A, 2006, 348 (3-6) : 94 - 109
  • [9] Truncated Levy flights and weak ergodicity breaking in the Hamiltonian mean-field model
    Figueiredo, A.
    Rocha Filho, T. M.
    Amato, M. A.
    Oliveira, Z. T., Jr.
    Matsushita, R.
    PHYSICAL REVIEW E, 2014, 89 (02):
  • [10] Cumulant approach of arbitrary truncated Levy flight
    Vinogradov, Dmitry V.
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2010, 389 (24) : 5794 - 5800