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Let (X_j, Y_j), j = 1, 2... be nonnegative i.i.d random vectors and (N₁,N₂) be independent of (X_j , Y_j ), j = 1, 2, ... with Bivariate Geometric Distribution. The vector

is called the Bivariate Geometric Composed vector. In [3], a characterization for distribution function of this vector was showed and in this paper we shall consider the stability of this characterization.

Mathematics Subject Classification (2010): 60E10, 62E10.

Keywords: Characterization, stability of characterization, composed random variables, geometric summation.