An introduction to econophysics: correlations and complexity in finance
An introduction to econophysics: correlations and complexity in finance
Mining market data: a network approach
Computers and Operations Research
Robust methods for inferring sparse network structures
Computational Statistics & Data Analysis
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The statistical analysis of the method of construction of the market graph when considered as a multiple decision statistical procedure is investigated. It is shown that under the condition of additivity of the loss function the method can be optimal in different classes of unbiased multiple statistical procedures. The results are obtained by application of the Lehmann theory of multiple decision procedures to the method of construction of the market graph. The main findings are illustrated by numerical studies of the conditional risk of multiple decision statistical procedures for different loss functions and different return distributions.