Mathematical problems of statistical modelling of polarized radiation transfer

摘要

The paper is focused on various aspects of application and justification of the standard vector algorithm for statistical simulation of polarized radiation transfer. Since the corresponding estimators may have an infinite variance, we construct an 'algorithm of e-fold polarization' free from this drawback. Modifications of the local estimator of polarized radiation intensity and a dual representation of the mean square estimator of a functional are also considered, which extends the scope of studying the variance finiteness condition.