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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. LOMI, 1987 Volume 158, Pages 122–126 (Mi znsl5380)

Random processes generated by independent variables and the strong convergence of functionals

G. V. Martynova


Abstract: In the present paper we get sufficient conditions for the strong convergence of distributions of functionals of a sequence of stochastic processes, linearly generated by independent random variables, in the case when the distributions of these processes converge weakly to a Gaussian measure.

UDC: 519.2



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