Simulation and Statistical Analysis of Market Return Fluctuation by Zipf Method

We investigate the fluctuation behaviors of financial stock markets by Zipf analysis. In the present paper, the empirical research is made to describe ensembles and specifics of stock price returns for global stock indices, and the corresponding Zipf distributions are given. First we study the fluct...

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Main Authors: Yalong Guo, Jun Wang
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2011/253523
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spelling doaj-2cd7232c878b472bacdbbafc51ae5d152020-11-24T22:45:34ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472011-01-01201110.1155/2011/253523253523Simulation and Statistical Analysis of Market Return Fluctuation by Zipf MethodYalong Guo0Jun Wang1Institute of Financial Mathematics and Financial Engineering, College of Science, Beijing Jiaotong University, Beijing 100044, ChinaInstitute of Financial Mathematics and Financial Engineering, College of Science, Beijing Jiaotong University, Beijing 100044, ChinaWe investigate the fluctuation behaviors of financial stock markets by Zipf analysis. In the present paper, the empirical research is made to describe ensembles and specifics of stock price returns for global stock indices, and the corresponding Zipf distributions are given. First we study the fluctuation behavior of global stock markets by (m,k)-Zipf method. Then we consider a dynamic stock price model, and we analyze the absolute frequencies and the relative frequencies for this financial model. Further, the Zipf distributions of returns for SSE Composite Index are studied for different time scales.http://dx.doi.org/10.1155/2011/253523
collection DOAJ
language English
format Article
sources DOAJ
author Yalong Guo
Jun Wang
spellingShingle Yalong Guo
Jun Wang
Simulation and Statistical Analysis of Market Return Fluctuation by Zipf Method
Mathematical Problems in Engineering
author_facet Yalong Guo
Jun Wang
author_sort Yalong Guo
title Simulation and Statistical Analysis of Market Return Fluctuation by Zipf Method
title_short Simulation and Statistical Analysis of Market Return Fluctuation by Zipf Method
title_full Simulation and Statistical Analysis of Market Return Fluctuation by Zipf Method
title_fullStr Simulation and Statistical Analysis of Market Return Fluctuation by Zipf Method
title_full_unstemmed Simulation and Statistical Analysis of Market Return Fluctuation by Zipf Method
title_sort simulation and statistical analysis of market return fluctuation by zipf method
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2011-01-01
description We investigate the fluctuation behaviors of financial stock markets by Zipf analysis. In the present paper, the empirical research is made to describe ensembles and specifics of stock price returns for global stock indices, and the corresponding Zipf distributions are given. First we study the fluctuation behavior of global stock markets by (m,k)-Zipf method. Then we consider a dynamic stock price model, and we analyze the absolute frequencies and the relative frequencies for this financial model. Further, the Zipf distributions of returns for SSE Composite Index are studied for different time scales.
url http://dx.doi.org/10.1155/2011/253523
work_keys_str_mv AT yalongguo simulationandstatisticalanalysisofmarketreturnfluctuationbyzipfmethod
AT junwang simulationandstatisticalanalysisofmarketreturnfluctuationbyzipfmethod
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