Stationary Gaussian processes on the vertices of the k-cube |
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| Institution: | 1. US National Cancer Institute, Division of Cancer Prevention, Bethesda, Maryland, USA;2. Member, The Lisa Schwartz Foundation for Truth in Medicine, Norwich, Vermont, USA;3. The Center for Medicine in the Media, Dartmouth Institute for Health Policy and Clinical Practice, Geisel School of Medicine at Dartmouth, Lebanon, New Hampshire, USA;4. Director, The Lisa Schwartz Foundation for Truth in Medicine, Norwich, Vermont, USA;5. Beijing Biostar Pharmaceuticals Co., Ltd, Beijing, China;6. Rockville, Maryland, USA |
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| Abstract: | Our interest is in stationary processes on the k-cube T. We explore the connection between stationarity and the group structure of T and derive the relationship between the parameters of a stationary process on T and the process restricted to a subgroup. In addition, we study special families of stationary processes. In particular, we prove closure properties for these families. |
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