The joint and marginal probability distribution functions of the Stokes variables are derived for correlated Gaussian fields [an extension of D. Eliyahu, Phys. Rev. E 47, 2881 (1993)]. The statistics depend only on the first moment (averaged) Stokes variables and have a universal form for S₁, S₂, and S₃. The statistics of the variables describing the Cartesian coordinates of the Poincar\'e sphere are given also.
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Danny Eliyahu (1994) studied this question.
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