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ifo Institut – Leibniz-Institut für Wirtschaftsforschung an der Universität München >
CESifo Working Papers, CESifo Group Munich >
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http://hdl.handle.net/10419/55323
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| Title: | | Exponent of cross-sectional dependence: Estimation and inference  |
| Authors: | | Bailey, Natalia Kapetanios, George Pesaran, M. Hashem |
| Issue Date: | | 2012 |
| Series/Report no.: | | CESifo working paper: Empirical and Theoretical Methods 3722 |
| Abstract: | | An important issue in the analysis of cross-sectional dependence which has received renewed interest in the past few years is the need for a better understanding of the extent and nature of such cross dependencies. In this paper we focus on measures of cross-sectional dependence and how such measures are related to the behaviour of the aggregates defined as cross-sectional averages. We endeavour to determine the rate at which the cross-sectional weighted average of a set of variables appropriately demeaned, tends to zero. One parameterisation sets the exponent of the cross-sectional dimension, N, being between 1/2 and 1. We refer to this as the exponent of cross-sectional dependence. We derive an estimator of this exponent from the estimated variance of the cross-sectional average of the variables under consideration. We propose bias corrected estimators, derive their asymptotic properties and consider a number of extensions. We include a detailed Monte Carlo study supporting the theoretical results. Finally, we undertake an empirical investigation of the exponent of cross-sectional dependence using the S&P 500 data-set, and a large number of macroeconomic variables across and within countries. |
| Subjects: | | cross correlations cross-sectional dependence cross-sectional averages weak and strong factor models Capital Asset Pricing Model |
| JEL: | | C21 C32 |
| Document Type: | | Working Paper |
| Appears in Collections: | | CESifo Working Papers, CESifo Group Munich
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