Results 241 to 250 of about 331,394 (276)

Extrema of Quadratic Forms with Applications to Statistics

Biometrika, 1959
Bush, K. A., Olkin, I.
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Quadratic forms in order statistics used as goodness-of-fit criteria

Biometrika, 1972
Hartley, H. O., Pfaffenberger, R. C.
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Corrigenda: Extrema of Quadratic Forms with Applications to Statistics

Biometrika, 1961
K. A. Bush, I. Olkin
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Statistical distributions of Hermitian quadratic forms in complex Gaussian variables

IEEE Transactions on Information Theory, 1993
The mathematical portion of this paper is devoted to the determination of the statistical properties of Hermitian quadratic forms. More explicitly, let \(Z_ 1,\dots, Z_ L\) be \(L\) two-dimensional independent and identically distributed complex Gaussian random vectors with positive definite covariance matrix. The means are not necessarily zero.
Biyari, Khaled H., Lindsey, William C.
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Extrema of quadratic forms and statistical applications

Communications in Statistics - Theory and Methods, 1984
Khatri and Rao gave a bound to the ratio of the determinants . Where X is an n x k matrix of rank k, and B, C are commutative matrices. In this paper, we provide bounds to the ratios of the determinants and a general result then that of Khatri and Rao.
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Correlation-Preserved Statistical Timing With a Quadratic Form of Gaussian Variables

IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 2006
A recent study shows that the existing first-order canonical timing model is not sufficient to represent the dependency of the gate/wire delay on the processing and operational variations when these variations become more and more significant. Due to nonlinear mapping from variation sources to the gate/wire delay, the distribution of the delay will no ...
L. Zhang, W. Chen, Y. Hu, J.A. Gubner, C.C.-P. Chen   +4 more
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Statistical classification with quadratic forms

Biometrika, 1963
This paper demonstrates that in multivariate statistical classification the decision procedure optimal for multivariate normal distributions, wherein an unknown is assigned on the basis of a comparison of quadratic forms, is in fact fully optimum for much broader classes of distributions.
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Cochran's statistical theorem for outer inverses of matrices and matrix quadratic forms

Linear and Multilinear Algebra, 2005
We extend the matrix version of Cochran's statistical theorem to outer inverses of a matrix. As applications, we investigate the Wishartness and independence of matrix quadratic forms for Kronecker product covariance structures.
Yongge Tian, George P. H. Styan
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Influence and a Quadratic Form in the Andrews-Pregibon Statistic

Technometrics, 1985
A quadratic form found in the Andrews–Pregibon (AP) statistic may be decomposed into two terms. One of the terms has a simple geometric interpretation that relates naturally to the expression of influence found in Cook's statistic. The measure of influence derived from the quadratic form is easy to compute once the two factors of the AP statistic have ...
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Statistical distribution of surface elevation by using quadratic forms of normal random variables

Physics of Fluids
This paper is concerned with the statistical properties of surface elevation, which is crucial for the design and operation of marine and coastal structures and is helpful to the prediction of rogue waves. A semi-analytic quadratic model is proposed to describe the statistical distribution of surface elevation by using the theory of quadratic forms of ...
Zhe Gao, Yunfei Teng, Cheng Zhang, Lei Wang, Liang Cheng   +4 more
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