Statistics Learning Network Based on the Quadratic Form for SAR Image Classification [PDF]
Remote Sensing, 2019 The convolutional neural network (CNN) has shown great potential in many fields; however, transferring this potential to synthetic aperture radar (SAR) image interpretation is still a challenging task. The coherent imaging mechanism causes the SAR signal
Chu He +4 more
doaj +4 more sources
Efficient calculation of P-value and power for quadratic form statistics in multilocus association testing. [PDF]
Ann Hum Genet, 2010 SummaryWe address the asymptotic and approximate distributions of a large class of test statistics with quadratic forms used in association studies. The statistics of interest take the general form D=XTA X, where A is a general similarity matrix which may or may not be positive semi‐definite, and X follows the multivariate normal distribution with mean
Tong L, Yang J, Cooper RS.
europepmc +9 more sources
Extremal statistics of quadratic forms of GOE/GUE eigenvectors [PDF]
The Annals of Applied Probability, 2022 We consider quadratic forms of deterministic matrices $A$ evaluated at the random eigenvectors of a large $N \times N$ GOE or GUE matrix, or equivalently evaluated at the columns of a Haar-orthogonal or Haar-unitary random matrix. We prove that, as long as the deterministic matrix has rank much smaller than $\sqrt{N}$, the distributions of the extrema ...
Erdős, László, McKenna, Benjamin
+6 more sources
Bounds on the tail probability of 𝑈-statistics and quadratic forms [PDF]
Bulletin of the American Mathematical Society, 1994 5 pages. Abstract added in migration.
de la Peña, Victor H. +1 more
+6 more sources
On the Asymptotic Distribution of Quadratic Forms in Uniform Order Statistics [PDF]
The Annals of Statistics, 1988 The asymptotic distribution of quadratic forms in uniform order statistics is studied under contiguous alternatives. Using minimal conditions on the sequence of forms, the limiting distribution is shown to be the convolution of a sum of weighted noncentral chi-squares and a normal variate.
Guttorp, Peter, Lockhart, Richard A.
openaire +3 more sources
Random Quadratic Forms and the Bootstrap for U-Statistics
Journal of Multivariate Analysis, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
DEHLING, H, MIKOSCH, T
openaire +3 more sources
On Approximating the Distribution of Quadratic Forms in Gamma Random Variables and Exponential Order Statistics [PDF]
Journal of Statistical Theory and Applications, 2013 This paper proposes a moment-based approximation to the distribution of quadratic forms in gamma random variables. Quadratic forms in order statistics from an exponential population are considered as well. Actually,several test statistics can be expressed in terms of the latter.
A. Akbar Mohsenipour, Serge B. Provost
openaire +4 more sources
Robust SAR Waveform Design for Extended Target in Spectrally Dense Environments [PDF]
SensorsTo enhance the signature of an extended target in a SAR image, a robust waveform design method is presented for spectrally dense environments. First, the problem is formulated by maximizing the worst-case signal-to-clutter ratio (SCR) over the ...
Rui Zhang +5 more
doaj +2 more sources
Slow rates of approximation of U-statistics and V-statistics by quadratic forms of Gaussians [PDF]
We construct examples of degree-two U- and V-statistics of $n$ i.i.d.~heavy-tailed random vectors in $\mathbb{R}^{d(n)}$, whose $ν$-th moments exist for ${ν> 2}$, and provide tight bounds on the error of approximating both statistics by a quadratic form of Gaussians. In the case ${ν=3}$, the error of approximation is $Θ(n^{-1/12})$. The proof adapts
Huang, Kevin Han, Orbanz, Peter
openaire +3 more sources
Minima of vector quadratic forms with applications to statistics
Metrika, 1967 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
D. G. Kabe
openaire +3 more sources