Testing for change in mean of heteroskedastic time series

Mohamed Boutahar

Working Papers from HAL

Abstract: In this paper we consider a Lagrange Multiplier-type test (LM) to detect change in the mean of time series with heteroskedasticity of unknown form. We derive the limiting distribution under the null, and prove the consistency of the test against the alternative of either an abrupt or smooth changes in the mean. We perform also some Monte Carlo simulations to analyze the size distortion and the power of the proposed test. We conclude that for moderate sample size, the test has a good performance. We finally carry out an empirical application using the daily closing level of the S\&P 500 stock index, in order to illustrate the usefulness of the proposed test.

Keywords: Brownian bridge; changes in mean; functional central limit theorem; heteroskedasticity; time series (search for similar items in EconPapers)
Date: 2010-02-28
Note: View the original document on HAL open archive server: https://hal.science/hal-00570062v1
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Working Paper: Testing for change in mean of heteroskedastic time series (2011)
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