application of the random matrix theory on the cross-correlation of stock ‎prices

نویسندگان

f. sotoude vanoliya

department of statistics, university of mazandaran, iran a. pourdarvish heydari

department of statistics, university of mazandaran, iran

چکیده

the analysis of cross-correlations is extensively applied for understanding of interconnections in stock markets. variety of methods are used in order to search stock cross-correlations including the random matrix theory (rmt), the principal component analysis (pca) and the hierachical ‎structures.‎ in ‎this work‎, we analyze cross-crrelations between price fluctuations of 20 ‎company ‎stocks‎‎ of iran by using rmt. we find the eigenvalues and eigenvectors of the matrices of the cross-correlations related to ‎the‎se stocks.‎‎‎   the results show some eigenvalues do not fall within the bounds of rmt eigenvalues, that indicate the correlations of ‎‎ stocks in usual and critical flucatutions.

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عنوان ژورنال:
international journal of mathematical modelling and computations

جلد ۶، شماره ۳، صفحات ۲۱۱-۲۱۹

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