Flexible Models for Stock Returns Based on Student's T Distribution

被引:3
作者
Afuecheta, Emmanuel [1 ]
Chan, Stephen [2 ]
Nadarajah, Saralees [1 ]
机构
[1] Univ Manchester, Sch Math, Manchester, Lancs, England
[2] Amer Univ Sharjah, Dept Math & Stat, Sharjah, U Arab Emirates
关键词
SCALE MIXTURES; VARIANCE; SELECTION; ORDER;
D O I
10.1111/manc.12234
中图分类号
F [经济];
学科分类号
02 ;
摘要
Models based on the Student's t distribution are proposed with its scale parameter randomized. Mathematical properties of the models such as their probability density functions, cumulative distribution functions, moments and characteristic functions are derived. Three of the models are fitted to daily log returns of six financial indices. They were shown to provide better fits than mixtures of Student's t distributions and the popular generalized hyperbolic distribution.
引用
收藏
页码:403 / 427
页数:25
相关论文
共 36 条
[31]   ESTIMATING DIMENSION OF A MODEL [J].
SCHWARZ, G .
ANNALS OF STATISTICS, 1978, 6 (02) :461-464
[32]   Skewed normal variance-mean models for asset pricing and the method of moments [J].
Tjetjep, A ;
Seneta, E .
INTERNATIONAL STATISTICAL REVIEW, 2006, 74 (01) :109-126
[34]   Stochastic volatility models with leverage and heavy-tailed distributions: A Bayesian approach using scale mixtures [J].
Wang, Joanna J. J. ;
Chan, Jennifer S. K. ;
Choy, S. T. Boris .
COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2011, 55 (01) :852-862
[35]  
WEST M, 1987, BIOMETRIKA, V74, P646, DOI 10.2307/2336707
[36]  
Wright EM., 1935, Journal of the London Mathematical Society, V10, P286, DOI [10.1112/jlms/s1-10.40.286, DOI 10.1112/JLMS/S1-10.40.286]