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Remarks on a Noncanonical Representation for a Stationary Gaussian Process

Yuji Hibino, Masuyuki Hitsuda and Hiroshi Muraoka
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Yuji Hibino: Saga University, Faculty of Science and Engineering
Masuyuki Hitsuda: Kumamoto University, Faculty of Science
Hiroshi Muraoka: The University of Tokyo, Department of Mechanical Engineering

A chapter in Recent Developments in Infinite-Dimensional Analysis and Quantum Probability, 2001, pp 137-139 from Springer

Abstract: Abstract For a stationary centered Gaussian process, we construct a noncanonical representation which has an infinite-dimensional orthogonal complement that is nontrivial. The authors have already proposed a systematic method for the construction of noncanonical representation having a finite-dimensional orthogonal complement.

Keywords: 60G15; 60G10; stationary Gaussian process; canonical representation; moving average representation (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-010-0842-6_8

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DOI: 10.1007/978-94-010-0842-6_8

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