Markov bases for noncommutative Fourier analysis of ranked data

To calibrate Fourier analysis of S5 ranking data by Markov chain Monte Carlo techniques, a set of moves (Markov basis) is needed. We calculate this basis, and use it to provide a new statistical analysis of two data sets. The calculation involves a large Gr

• Type: Journal
• Year: 2006
• Where: JSC
• Authors: Persi Diaconis, Nicholas Eriksson
• Keywords: Gröbner Basis, JSC 2006, Markov Basis, Markov Chain Monte Carlo