A model specification test for the variance function in nonparametric regression

Juan Carlos Pardo-Fernández () and M. Dolores Jiménez-Gamero ()
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Juan Carlos Pardo-Fernández: Universidade de Vigo
M. Dolores Jiménez-Gamero: Universidad de Sevilla

AStA Advances in Statistical Analysis, 2019, vol. 103, issue 3, No 4, 387-410

Abstract: Abstract The problem of testing for the parametric form of the conditional variance is considered in a fully nonparametric regression model. A test statistic based on a weighted $$L_2$$ L 2 -distance between the empirical characteristic functions of residuals constructed under the null hypothesis and under the alternative is proposed and studied theoretically. The null asymptotic distribution of the test statistic is obtained and employed to approximate the critical values. Finite sample properties of the proposed test are numerically investigated in several Monte Carlo experiments. The developed results assume independent data. Their extension to dependent observations is also discussed.

Keywords: Characteristic function; Conditional variance models; Nonparametric regression; Regression residuals (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s10182-018-00336-y

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