Sainudiin, R.Thornton, K.Booth, J.Stillman, M.Yoshida, R.2009-10-082009-10-082009Sainudiin, R., Thornton, K., Booth, J., Stillman, M., Yoshida, R. (2009) Coalescent experiments II: Markov bases of classical population genetic statistics. UCDMS Research Report 2009/8. 17pp..http://hdl.handle.net/10092/2950Evaluating the likelihood function of parameters in complex population genetic models from extant deoxyribonucleic acid (DNA) sequences is computationally prohibitive. In such cases, one may approximately infer the parameters from various summary statistics of the data. Such method are known as approximate likelihood/Bayesian computations. We employ computational commutative algebraic methods to obtain the exact likelihood of a large class of summary statistics that are linear combinations of the site frequency spectrum.enintegrating controlled coalescent measures via Markov basesexactly approximate Bayesian/likelihood computation in population geneticsReportsFields of Research::230000 Mathematical Sciences::239900 Other Mathematical Sciences::239901 Biological MathematicsFields of Research::270000 Biological Sciences::270200 Genetics