Inheriting independence and chi-squaredness under certain matrix orderings
From MaRDI portal
Publication:1069607
DOI10.1016/0167-7152(84)90034-8zbMath0584.62075OpenAlexW1994132884MaRDI QIDQ1069607
Publication date: 1984
Published in: Statistics \& Probability Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-7152(84)90034-8
independencequadratic formLoewner partial orderingrank subtractivity partial orderingchi-square variablematrix orderingsrange preordering
Characterization and structure theory for multivariate probability distributions; copulas (62H05) Probability distributions: general theory (60E05) Characterization and structure theory of statistical distributions (62E10)
Related Items
On some characterizations of the star partial ordering for matrices and rank subtractivity ⋮ On ordering properties of generalized inverses of nonnegative definite matrices ⋮ Weighted binary relations involving the Drazin inverse ⋮ A reformulation of the criteria for the independence of quadratic functions in normal variables ⋮ Characterizations of the best linear unbiased estimator in the general Gauss-Markov model with the use of matrix partial orderings ⋮ A further algebraic version of Cochran's theorem and matrix partial orderings ⋮ Further properties of the star, left-star, right-star, and minus partial orderings. ⋮ Estimator models for combining vector estimators ⋮ Relationships between partial orders of matrices and their powers. ⋮ Weighted pre-orders involving the generalized Drazin inverse ⋮ Some properties of matrix partial orderings
Cites Work
