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Non-Parametric Inference in Astrophysics

Larry Wasserman, Christopher J. Miller, Robert C. Nichol, Chris Genovese, Woncheol Jang, Andrew J. Connolly, Andrew W. Moore, Jeff Schneider, the PICA group

astro-pharXiv:astro-ph/0112050

Abstract

We discuss non-parametric density estimation and regression for astrophysics problems. In particular, we show how to compute non-parametric confidence intervals for the location and size of peaks of a function. We illustrate these ideas with recent data on the Cosmic Microwave Background. We also briefly discuss non-parametric Bayesian inference.

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