A Weak Convergence Theorem for Gaussian Sequences

Chandrakant M. Deo

doi:10.1214/aop/1176996813

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Home > Journals > Ann. Probab. > Volume 1 > Issue 6 > Article

December, 1973 A Weak Convergence Theorem for Gaussian Sequences

Chandrakant M. Deo

Ann. Probab. 1(6): 1061-1064 (December, 1973). DOI: 10.1214/aop/1176996813

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Abstract

In this note a weak convergence result in the Skorohod space $D^2\lbrack a, b \rbrack$ for a sequence of stochastic processes generated by the sample extrema of a stationary Gaussian sequence is obtained.

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Chandrakant M. Deo. "A Weak Convergence Theorem for Gaussian Sequences." Ann. Probab. 1 (6) 1061 - 1064, December, 1973. https://doi.org/10.1214/aop/1176996813