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Adaptive Bernstein-von Mises theorems in Gaussian white noise - MaRDI portal

Adaptive Bernstein-von Mises theorems in Gaussian white noise (Q682292)

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Adaptive Bernstein-von Mises theorems in Gaussian white noise
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    Adaptive Bernstein-von Mises theorems in Gaussian white noise (English)
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    14 February 2018
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    The author considers the problem of generating credible sets in the canonical Gaussian white noise model. The construction is based on theoretical results about Bernstein-von Mises theorems for adaptive nonparametric Bayesian procedures. Some applications are considered and some simulations are provided for the illustration of the usefulness of the introduced approach.
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    Bayesian inference
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    posterior asymptotics
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    adaptation
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    credible set
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    confidence set
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