Testing Shifts in Financial Models with Conditional Heteroskedasticity: An Empirical Distribution Function Approach

Shinn-Juh Lin and Jian Yang
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Shinn-Juh Lin: Department of International Business, National Chengchi University

No 30, Research Paper Series from Quantitative Finance Research Centre, University of Technology, Sydney

Abstract: This paper proposes a class of test procedures for a structural change with an unknown change point. In particular, we consider a general financial time series model with conditional heteroskedasticity. The test statistics are constructed via the empirical distribution approach and aim at detecting a change that may occur beyond the second moment. We derive the asymptotic null distributions of the test statistics and tabulate the critical values. Studies of the local power show that the test statistics have non-trivial local power. Finite sample performances of the proposed tests are studied via Monte Carlo methods. This test procedures are applied to test the change point in the S&P 500 daily index returns.

Keywords: change point; empirical distribution function; sequential empirical process; weak convergence; two-parameter brownian bridge (search for similar items in EconPapers)
JEL-codes: C12 C15 (search for similar items in EconPapers)
Date: 1999-12-01
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Citations: View citations in EconPapers (8)

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