@techreport{db4baa7abf6045779e25a4425b927a45,

title = "A Sweep-Plane Algorithm for Generating Random Tuples in Simple Polytopes",

abstract = "A sweep-plane algorithm by Lawrence for convex polytope computation is adapted to generate random tuples on simple polytopes. In our method an affine hyperplane is swept through the given polytope until a random fraction (sampled from a proper univariate distribution) of the volume of the polytope is covered. Then the intersection of the plane with the polytope is a simple polytope with smaller dimension. In the second part we apply this method to construct a black-box algorithm for log-concave and T-concave multivariate distributions by means of transformed density rejection. (author's abstract)",

author = "Josef Leydold and Wolfgang H{\"o}rmann",

year = "1997",

doi = "10.1090/S0025-5718-98-01004-7",

language = "English",

series = "Preprint Series / Department of Applied Statistics and Data Processing",

number = "18",

publisher = "Department of Statistics and Mathematics, Abt. f. Angewandte Statistik u. Datenverarbeitung, WU Vienna University of Economics and Business",

edition = "August 1997",

type = "WorkingPaper",

institution = "Department of Statistics and Mathematics, Abt. f. Angewandte Statistik u. Datenverarbeitung, WU Vienna University of Economics and Business",

}