On a Theorem of Maruyama

A. Larry Wright

doi:10.1214/aop/1176994671

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Home > Journals > Ann. Probab. > Volume 8 > Issue 4 > Article

August, 1980 On a Theorem of Maruyama

A. Larry Wright

Ann. Probab. 8(4): 851-852 (August, 1980). DOI: 10.1214/aop/1176994671

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Abstract

It is shown that a wide-sense stationary process is strictly stationary (i) only if it is rotation invariant, (ii) if it is rotation invariant and has a (two dimensional) random spectral measure with independent increments.