Asymptotic properties of correlation bounds in functional spaces. II |
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Authors: | V V Buldygin V V Zayats |
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Institution: | (1) Kiev Polytechnic Institute, Academy of Sciences of the Ukrainian SSR, Kiev;(2) Mathematics Institute, Academy of Sciences of the Ukrainian SSR, Kiev |
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Abstract: | This paper is an extension of 11]. Starting from the results of our first paper we prove by inclusion theorems that bounds for the correlation function of a stationary Gaussian process in the space of continuous functions with weight are strongly consistent and asymptotically normal. We construct the simplest functional confidence intervals in these spaces for the indeterminate correlation function.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 43, No. 3, pp. 322–329, March, 1991. |
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