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Non-central Cochran's theorem for elliptically contoured distributions

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Publication:3753302
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DOI10.1007/BF02582021zbMath0612.62074MaRDI QIDQ3753302

Jianqing Fan

Publication date: 1986

Published in: Acta Mathematica Sinica (Search for Journal in Brave)


zbMATH Keywords

elliptically contoured distributionsgeneralized non-central chi square distributionmatrix spherical distributionnon-central Cochran's theorem


Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Multivariate analysis (62H99)


Related Items (6)

Noncentral matrix quadratic forms of the skew elliptical variables ⋮ On the non-stochastic ordering of some quadratic forms ⋮ A recursive approach for determining matrix inverses as applied to causal time series processes ⋮ The probability content of cones in isotropic random fields ⋮ Noncentral quadratic forms of the skew elliptical variables ⋮ Power analysis for linear models with spherical errors



Cites Work

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  • Elliptically Symmetric Distributions: A Review and Bibliography
  • Quadratic forms in spherical random variables: Generalized noncentral x2 distribution


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