Adaptive Polar Sampling: A New MC Technique for the Analysis of Ill-behaved Surfaces

Adaptive Polar Sampling is proposed as an algorithm where random drawings are directly generated from the target function (posterior) in all-but-one directions of the parameter space. The method is based on the mixed integration technique of Van Dijk, Kloek & Boender (1985) but extends this one by replacing the one-dimensional quadrature step by Monte Carlo simulation from this one-dimensional distribution function.<br> The method is particularly suited for the analysis of ill-behaved surfaces. An illustrative example shows the feasibility of the algorithm.