Ten lectures on wavelets
Goodness-of-fit tests for a multivariate distribution by the empirical characteristic function
Journal of Multivariate Analysis
Measure Theory and Probability Theory (Springer Texts in Statistics)
Measure Theory and Probability Theory (Springer Texts in Statistics)
Consistency of general bootstrap methods for degenerate U-type and V-type statistics
Journal of Multivariate Analysis
Goodness-of-fit tests based on empirical characteristic functions
Computational Statistics & Data Analysis
Test for dispersion constancy in stochastic differential equation models
Applied Stochastic Models in Business and Industry
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In this paper, we propose a goodness of fit test for continuous time stochastic volatility models based on discretely sampled observations. The proposed test is constructed by measuring deviations between the empirical and true characteristic functions obtained from the hypothesized stochastic volatility model. In this study, both the test statistics based on the fixed and decreasing sampling schemes are taken into consideration. It is shown that under the null, the proposed tests asymptotically follow a weighted sum of products of centered normal random variables. In order to evaluate the proposed tests, a simulation study is performed, in which a bootstrap method is also considered. Finally, a real data analysis is conducted for illustration.