Search for non-Gaussianity in pixel, harmonic, and wavelet space: Compared and combined

We present a comparison between three approaches to test the non-Gaussianity of cosmic microwave background data. The Minkowski functionals, the empirical process method, and the skewness of wavelet coefficients are applied to maps generated from nonstandard inflationary models and to Gaussian maps with point sources included. We discuss the different power of the pixel, harmonic, and wavelet space methods on these simulated almost full-sky data (with Planck-like noise). We also suggest a new procedure consisting of a combination of statistics in pixel, harmonic, and wavelet space.