Pruning a Minimum Spanning Tree

Abstract

This work employs some techniques in order to filter random noise from the information provided by minimum spanning trees obtained from the correlation matrices of international stock market indices prior to and during times of crisis. The first technique establishes a threshold above which connections are considered affected by noise, based on the study of random networks with the same probability density distribution of the original data. The second technique is to judge the strengh of a connection by its survival rate, which is the amount of time a connection between two stock market indices endure. The idea is that true connections will survive for longer periods of time, and that random connections will not. That information is then combined with the information obtained from the first technique in order to create a smaller network, where most of the connections are either strong or enduring in time.

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Cited by in corpus (4)

• Correlation, Network and Multifractal Analysis of Global Financial Indices
• Minimum spanning tree filtering of correlations for varying time scales and size of fluctuations
• To lag or not to lag? How to compare indices of stock markets that operate at different times
• Cluster formation and evolution in networks of financial market indices