On the closed form solutions for non-extensive Value at Risk

被引:2
作者
Stavroyiannis, S. [1 ]
Makris, I. [1 ]
Nikolaidis, V. [1 ]
机构
[1] Technol Educ Inst Kalamata, Sch Management & Econ, Dept Finance & Auditing, Antikalamos 24100, Greece
关键词
Value at Risk; Financial markets; Tsallis statistics; q-Gaussian distributions; Superstatistics; VALUE-AT-RISK; EXTREME-VALUE THEORY; NONEXTENSIVE STATISTICAL-MECHANICS; TSALLIS STATISTICS; SUPERSTATISTICS; MODEL;
D O I
10.1016/j.physa.2009.05.002
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We examine possible closed form solutions for the cumulative distribution function for systems where the probability density function can be adequately described by the generalized non-extensive statistics framework. Application to financial time series as a possible Value at Risk technique indicates reasonable agreement with the data under consideration, including all possible extremes and asymmetries of the returns. Numerical results to illustrate the efficiency of the method are presented. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码:3536 / 3542
页数:7
相关论文
共 36 条
[1]  
AMPAROL G, 2006, J COMPUT APPL MATH, V190, P270
[2]  
[Anonymous], 1996, RISK METRICS TECHNIC
[3]  
AUSLOOS M, 2003, PHYS REV E, V68
[4]   Why Tsallis statistics? [J].
Baranger, M .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2002, 305 (1-2) :27-31
[5]  
BARRY B, 1997, IPENZ T, V24, P1
[6]   Superstatistical generalization of the work fluctuation theorem [J].
Beck, C ;
Cohen, EGD .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2004, 344 (3-4) :393-402
[7]   Superstatistics: theory and applications [J].
Beck, C .
CONTINUUM MECHANICS AND THERMODYNAMICS, 2004, 16 (03) :293-304
[8]   Superstatistics [J].
Beck, C ;
Cohen, EGD .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2003, 322 (1-4) :267-275
[9]   Dynamical foundations of nonextensive statistical mechanics [J].
Beck, C .
PHYSICAL REVIEW LETTERS, 2001, 87 (18) :180601-1
[10]   The analytic continuation of the Gaussian hypergeometric function 2F1(a, b; c; z) for arbitrary parameters [J].
Becken, W ;
Schmelcher, P .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2000, 126 (1-2) :449-478