Abstract
Various aspects of usage and substantiation of standard vectorial algorithm of statistical modeling of polarized radiation transfer are considered. Due to the fact that the appropriate statistical estimates can have the infinite variance, the method of “ℓ-fold polarization”, in which recalculation of a Stokes vector on a “scalar” trajectory is carried out no more, than ℓ times, is offered deprived of this deficiency. Dual representation of mean squares of the Monte Carlo estimates of studied functionals and an evaluation of vector estimates variances are considered also.
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Acknowledgements
This work was supported by the Russian Foundation for Basic Research (13-01-00441, 13-01-00746, 12-01-00034), and by MIP SB RAS (A-47, A-52).
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Mikhailov, G.A., Korda, A.S., Ukhinov, S.A. (2014). Mathematical Problems of Statistical Simulation of the Polarized Radiation Transfer. In: Melas, V., Mignani, S., Monari, P., Salmaso, L. (eds) Topics in Statistical Simulation. Springer Proceedings in Mathematics & Statistics, vol 114. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-2104-1_37
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DOI: https://doi.org/10.1007/978-1-4939-2104-1_37
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