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On properties of Toeplitz-type covariance matrices in models with nested random effects

Liang, Yuli, 1985- (author)
Örebro universitet,Handelshögskolan vid Örebro Universitet,Department of Statistics,Örebro University, Sweden,Orebro Univ, Sweden
Von Rosen, Dietrich (author)
Linköpings universitet,Swedish University of Agricultural Sciences,Sveriges lantbruksuniversitet,Institutionen för energi och teknik,Department of Energy and Technology,Linköping University,Matematisk statistik,Tekniska fakulteten,Swedish Univ Agr Sci, Sweden
von Rosen, Tatjana (author)
Stockholms universitet,Statistiska institutionen,Stockholm Univ, Sweden
 (creator_code:org_t)
 
2020-09-01
2021
English.
In: Statistical papers. - : Springer. - 0932-5026 .- 1613-9798. ; 62:6, s. 2509-2528
  • Journal article (peer-reviewed)
Abstract Subject headings
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  • Models that capture symmetries present in the data have been widely used in different applications, with early examples from psychometric and medical research. The aim of this article is to study a random effects model focusing on the covariance structure that is block circular symmetric. Useful results are obtained for the spectra of these structured matrices.

Subject headings

NATURVETENSKAP  -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)
NATURAL SCIENCES  -- Mathematics -- Probability Theory and Statistics (hsv//eng)
NATURVETENSKAP  -- Matematik (hsv//swe)
NATURAL SCIENCES  -- Mathematics (hsv//eng)

Keyword

Covariance matrix
Circular block symmetry
Random effects model
Symmetry model
Eigenvalue
Eigenvector
Statistics/Econometrics
Statistik

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ref (subject category)
art (subject category)

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