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We describe a fast and accurate method for estimation of the cosmic microwavebackground (CMB) anisotropy angular power spectrum --- Monte Carlo ApodisedSpherical Transform EstimatoR. Originally devised for use in the interpretationof the Boomerang experimental data, MASTER is both a computationally efficientmethod suitable for use with the currently available CMB data sets (alreadylarge in size, despite covering small fractions of the sky, and affected byinhomogeneous and correlated noise), and a very promising application for theanalysis of very large future CMB satellite mission products.Comment: 20 pages, 6 fig; submitted to ApJ; uses aastex.cls and psfig.sty  (included

astrophysical journal/the astrophysical journal

MASTER of the Cosmic Microwave Background Anisotropy Power Spectrum: A Fast Method for Statistical Analysis of Large and Complex Cosmic Microwave Background Data Sets