Multi‐scale relation analysis of power law distribution and correlation in the Chinese stock market
Abstract
Purpose
The purpose of this paper is to reveal the multi‐scale relation between power law distribution and correlation of stock returns and to figure out the determinants underlying capital markets.
Design/methodology/approach
The multi‐scale relation between power law distribution and correlation is investigated by comparing the original series with the special series. The eliminating intraday trend series approach developed by Liu et al. is utilized to analyze the effects of power law decay change on correlation properties, and shuffling series originated by Viswanathan et al. for the impacts of special type of correlation on power‐law distribution.
Findings
It is found that the accelerating decay of power law has an insignificant effect on correlation properties of returns and the empirical results indicate that time scale may also be an important factor maintaining power law property of returns besides correlation. When time scale is under critical point, the effects of correlation are crucial, and the correlation of nonlinear long‐range presents the strongest influence. However, for time scale beyond critical point, the impact of correlation begins to diminish or even finally disappear and then the power law property shows complete dependence on time scale.
Research limitations/implications
The 5‐min high frequency data of the Shanghai market as the empirical benchmark is insufficient to depict the relation over the entire time scale in the Chinese stock market.
Practical implications
The paper identifies the determinants of market dynamics to apply them to risk management through analysis of multi‐scale relations, and supports endeavors to introduce time parameter into further risk measures and control.
Originality/value
The paper provides the empirical evidence that time scale is one of the key determinants of market dynamics by analyzing the multi‐scale relation between power law distribution and correlation.
Keywords
Citation
Yang, H., Chen, S. and Yang, Y. (2012), "Multi‐scale relation analysis of power law distribution and correlation in the Chinese stock market", Kybernetes, Vol. 41 No. 9, pp. 1323-1333. https://doi.org/10.1108/03684921211275360
Publisher
:Emerald Group Publishing Limited
Copyright © 2012, Emerald Group Publishing Limited