The generalized extreme value distribution

被引：87

作者：

Bali, TG ^{[1
]}

机构：

[1] CUNY Bernard M Baruch Coll, Zicklin Sch Business, Dept Econ & Finance, New York, NY 10010 USA

来源：

ECONOMICS LETTERS | 2003年 / 79卷 / 03期

关键词：

generalized extreme value distribution; generalized Pareto distribution; Box-Cox-GEV distribution; extreme value theory;

D O I：

10.1016/S0165-1765(03)00035-1

中图分类号：

F [经济];

学科分类号：

02 ;

摘要：

This paper determines the type of asymptotic distribution for the extreme changes in stock prices, foreign exchange rates and interest rates. To find the correct limiting distribution for the maximal and minimal changes in market variables, a more general extreme value distribution is introduced using the Box-Cox transformation. Both the generalized Pareto distribution of Pickands [Ann. Stat. 3 (1975) 119] and the generalized extreme value distribution of Jenkinson [Q. J. R. Meteorol. Soc. 87 (1955) 145] are strongly rejected in favor of the newly proposed Box-Cox-GEV distribution. (C) 2003 Elsevier Science B.V. All rights reserved.

引用

页码：423 / 427

页数：5

共 8 条

[1]

BALI TG, 2001, IN PRESS J BUSINESS

[2]

BOX G, 1964, J ROYAL STAT SOC B, P211

[3] Limiting forms of the frequency distribution of the largest or smallest member of a sample [J].

Fisher, RA ;

Tippett, LHC .

PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1928, 24 :180-190

[4] The limited distribution of the maximum term of a random series [J].

Gnedenko, B .

ANNALS OF MATHEMATICS, 1943, 44 :423-453

[5]

Greene W. H., 2007, ECONOMETRIC ANAL

[6]

Gumbel E. J., 1958, Statistics of Extremes

[7]

JENKINSON AF, 1955, Q J ROY METEOR SOC, V87, P145

[8]

PICKANDS J, 1975, ANN STAT, V3, P119

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