On the barrier problem for sine series with independent Gaussian coefficients |
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| Authors: | E M Cabaña |
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| Institution: | (1) Instituto de Matematíca y Estadística, Universidad de la RepÚblica, Av. J. Herrera y Reissig 565, Montevideo, Uruguay |
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| Abstract: | The barrier problem consisting in estimating the probability (1) is solved when the process u(z) belongs to a class of sine series with independent coefficients. The solution is obtained by identifying the process u with the positions of a vibrating string forced by white noise, for which the same barrier problem has been solved in a previous paper (2]). |
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