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Inference on the Lévy measure in case of noisy observations

Article ID Journal Published Year Pages File Type
1154772 Statistics & Probability Letters 2014 9 Pages PDF
Abstract

We discuss inference on the Lévy measure in case of noisy observations. An extension of the pre-averaging method allows for a consistent estimation of the associated spectral function. The asymptotic behaviour of the novel estimator is the same as without noise.

Keywords
Nonparametric statisticsMicrostructure noiseWeak convergence
Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
Preview
Inference on the Lévy measure in case of noisy observations
Authors
Mathias Vetter,
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Journal
Statistics & Probability Letters
Journal: Statistics & Probability Letters
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