Book Review: Stationary sequences and random fields
نویسندگان
چکیده
منابع مشابه
Kernel density estimation for stationary random fields
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We analyze and identify stationary fields with linear regressions and quadratic conditional variances. We give sufficient conditions to determine one dimensional distributions uniquely as normal, and as certain compactly-supported distributions. Our technique relies on orthogonal polynomials, which under our assumptions turn out to be a version of the so called continuous q-Hermite polynomials.
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Theory of coherence and polarization in stationary random electromagnetic fields is reviewed. Degree of coherence for electromagnetic fields is examined in the space–time domain and the conditions for complete coherence are discussed. The space–time domain correlation matrix is then transformed to the corresponding space–frequency domain quantity, the cross-spectral density matrix, which is the...
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This paper deals with measurable stationary symmetric stable random fields indexed by Rd and their relationship with the ergodic theory of nonsingular Rd-actions. Based on the phenomenal work of Rosiński (2000), we establish extensions of some structure results of stationary SαS processes to SαS fields. Depending on the ergodic theoretical nature of the underlying action, we observe different b...
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Conditional Random Fields (CRFs) provide a powerful instrument for labeling sequences. So far, however, CRFs have only been considered for labeling sequences over flat alphabets. In this paper, we describe TildeCRF, the first method for training CRFs on logical sequences, i.e., sequences over an alphabet of logical atoms. TildeCRF’s key idea is to use relational regression trees in Dietterich e...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1989
ISSN: 0273-0979
DOI: 10.1090/s0273-0979-1989-15791-1