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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. LOMI, 1986 Volume 153, Pages 37–44 (Mi znsl5130)

Contribution to the analytic theory of linear forms of independent random variables

A. A. Zinger, A. M. Kagan


Abstract: Characterizations of the Gaussian distribution through natural properties of linear forms of independent random variables are refined by replacing the $\sigma$-algebra generated by one form with a finite dimensional space of the polynomials in this form.

UDC: 519.2



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