Bayesian Nonparametric Function Estimation Using Overcomplete Representations and Lévy Random Field Priors

  title={Bayesian Nonparametric Function Estimation Using Overcomplete Representations and L{\'e}vy Random Field Priors},
  author={Merlise A. Clyde},
where n is the sample size, h is the bandwidth of the spectral cut-off estimator f̂n, β ≥ 0 is such Φψ(t)t → C, t → ∞ for the characteristic function Φψ of ψ and some constant C ∈ C, and g = f ∗ ψ. We derive the asymptotic distribution of Yn(t) and use it to construct asymptotic confidence bands for f (Bissantz, et al., 2005). Moreover, we establish a bootstrap version of the confidence bands, and give an application to measurements of the metallicity of local F and G dwarf stars where we… CONTINUE READING

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Showing 1-10 of 18 references

Godsill and WeeJing Ng , Bayesian variable selection and regularisation for time - frequency surface estimation

  • Patrick J. Wolfe, J. Simon
  • J . Roy . Statist . Soc . Ser . B
  • 2004

Donoho and Michaell Elad , Maximal sparsity representation via l 1 minimization

  • L. David
  • Proc . Nat . Aca . Sci .
  • 2003

Lévy Processes and Infinitely Divisible Distributions

  • Ken-iti Sato
  • Statistische und Probabilistische Methoden der…
  • 1999

Silverman , Wavelet thresholding via a Bayesian approach

  • Felix Abramovich, Theofanis Sapatinas, W. Bernard
  • J . Roy . Statist . Soc . Ser . B
  • 1998

Green , Reversible jump Markov chain Monte Carlo computation and Bayesian model determination

  • J Peter
  • Biometrika
  • 1995

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