GOODNESS-OF-FIT TEST FOR NONLINEAR TIME SERIES MODELS
Ngai Sze Han and
Shiqing Ling
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Ngai Sze Han: Hong Kong Examinations and Assessment Authority, Hong Kong
Shiqing Ling: #x2020;Hong Kong University of Science and Technology, Department of Mathematics, Clear Water Bay, Hong Kong
Annals of Financial Economics (AFE), 2017, vol. 12, issue 02, 1-21
Abstract:
Many time series models have been used extensively in modeling economic and financial data. However, it is difficult to determine the functional forms of the conditional mean and conditional variance in these models. In this paper, a test statistic based on the squared conditional residuals is proposed for testing these functional forms, and the asymptotic distribution of the test statistic is obtained. The test statistic is applicable not only to the family of GARCH models but also to other nonlinear time series models. Simulation results show that the proposed tests are powerful and have reasonable sizes. Two real examples are also given to illustrate our theory.
Keywords: ARMA model; GARCH model; goodness-of-fit test; test statistic and time series models (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:wsi:afexxx:v:12:y:2017:i:02:n:s2010495217500063
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DOI: 10.1142/S2010495217500063
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