Nonparametric Statistical Methods in Astrophysics

Mathematics – Probability

Scientific paper

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Scientific paper

Nonparametric statistical methods allow one to analyze data without making strong assumptions about the process that generated the data. For example, instead of assuming that the data have a Gaussian distribution, we might assume only that the distribution has a probability density that satisfies some weak, smoothness conditions. I will discuss three methods for estimating probability density functions: mixture models, kernel density estimation and wavelets. Finally, I will illustrate these methods applied to Astrophysics data. These applications are based on a collaboration between Astrophysicists (Andy Connolly, Bob Nichol), Computer Scientists (Andrew Moore, Jeff Schneider) and Statisticians (Chris Genovese and me).

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