The STUDIA UNIVERSITATIS BABEŞ-BOLYAI issue article summary
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In the present note we show that Polya’s type characterization theorem of Gaussian distributions does not hold. This happens because in the linear form, constituted by the independent copies of quaternion random variables, a part of the quaternion coefficients is written on the right hand side and another part on the left side. This gives a negative answer to the question posed in [1].
Mathematics Subject Classification (2010): 60B15.
Keywords: Quaternion random variables, Polya’s characterization theorem.
