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Para-Bose and para-Fermi statistics are generalizations of the usual Bose and Fermi statistics.Quantum fields corresponding to these para-statistics satisfy Greens trilinear relations (H.S.Green,Phys.Rev.90,270 (1953)).It was proved that the trilinear relations are related with an orthogonal Lie algebra so(2m+1) (in the case of the para-Fermi statistic) and with a Z_2-graded orthosymplectic Lie superalgebra osp(1|2n)) (in the case of the para-Bose statistic).Here m (n) denotes a number of parafermionic (para-bosonic) degrees of freedom.There are also two mixed cases of the para-Bose and para-Fermi systems which are called "relative para-Fermi sets" P_{FB} and "relative para-Bose sets" P_{BF} (O.W.Greenberg and A.M.L.Messian,Phys.Rev.138,1155 (1965)).It was established that the relative para-Fermi sets P_{FB} are associated with the Z_2-graded superalgebra osp(2m+1|2n).In the case of the relative para-Bose sets $P_{BF} a similar connection was not know up to now.In this talk we prove a new result that the case of the relative para-Bose sets P_{BF} is associated with the Z_2 xZ_2 -graded superalgebra osp(2m+1|2n).