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On the Cusum test for parameter changes in garch(1,1) Models
Authors:Soohwa Kim  Sinsup Cho  Sangyeol Lee
Affiliation:Department of Mathematics , Seoul National University , Seoul, 151-742, Korea
Abstract:
This paper considers the problem of testing parameter constancy in GARCH(1,1) models. A cusum of squares test is propesed in analogy Of Incl´n and Tiao (1394)'s statistic. its limiting distribution is derived via using the invariance principle for mixingaie sequences obtained by McLeish(1975). Simulation results are illustrated to demonstrate the validity of the cusum test.
Keywords:Analysis of variance  James test  limiting distri¬bution  improvement on chi-squared approximation  Cornish-Fisher expan
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