Entropy test and residual empirical process for autoregressive conditional duration models
Sangyeol Lee and
Haejune Oh
Computational Statistics & Data Analysis, 2015, vol. 86, issue C, 1-12
Abstract:
In this paper, we study the entropy test for the goodness of fit test in (nonlinear) autoregressive conditional duration (ACD) models. To implement a test, we first explore the null limiting distribution of the residual empirical process from ACD models and verify that it has an asymptotic expansion form that consists of the true empirical process and extra terms yielded by parameter estimation. Then, we show that under regularity conditions, the proposed entropy test approximately follows a distribution that is free from the parameter estimation. For illustration, a simulation study and real data analysis are conducted. In the implementation of the test, a parametric bootstrap method is employed.
Keywords: Entropy based goodness of fit test; Residual empirical process; Nonlinear ACD model; Parametric bootstrap method (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (2)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:csdana:v:86:y:2015:i:c:p:1-12
DOI: 10.1016/j.csda.2014.12.006
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