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A frequency domain analysis of the error distribution from noisy high-frequency data

A frequency domain analysis of the error distribution from noisy high-frequency data

Data observed at high sampling frequency are typically assumed to be an additive composite of a relatively slow-varying continuous-time component, a latent stochastic process or a smooth random function, and measurement error. Supposing that the latent component is an It\^{o} diffusion process, we propose to estimate the measurement error density …